Answers
The perimeter of the shaded region is 135 in.
Given, a triangle ABC in which K, L & M are the mid-points of the sides AB, BC, AC.
Also, the perimeter of the triangle ABC is 108 in.
Now, using the mid-point theorem, we get
KL = 1/2(AC)
LM = 1/2(AB)
KM = 1/2(BC)
Now, the perimeter of the shaded region is,
Perimeter of 3 small triangles + Perimeter of triangle KLM
Perimeter of 3 small triangles = (AB/4 + BC/4 + AC/4) + (AB/4 + BC/4 + AC/4) + (AB/4 + BC/4 + AC/4)
Perimeter of triangle KLM = AB/2 + BC/2 + AC/2
Perimeter of the shaded region = (AB/4 + BC/4 + AC/4) + (AB/4 + BC/4 + AC/4) + (AB/4 + BC/4 + AC/4) + (AB/2 + BC/2 + AC/2)
Perimeter of the shaded region = 5/4(AB + BC + AC)
As, we know that AB + BC + AC = 108 in
Perimeter of the shaded region = 5/4×108
Perimeter of the shaded region = 135 in
Hence, the perimeter of the shaded region is 135 in.
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Related Questions
A car service charges $2.40 for driving 1 mile. How much does the company charge for
driving 12.45 miles?
Answers
Answer:
no se Perdóname
Answer:
since 1 mile charge is $2.40
Then 12.45 miles is
2.40×12.45
=$29.88
To calculate control limits, 20 subgroups of ______ must be saved. Definition.
A. five sets.
B. five subsets.
C. five samples.
Answers
Answer:
C. five samples.
Step-by-step explanation:
Supplemental Activities - Ch 1
Steps to solve an inequality Active
Prompt
What are the steps in solving the below inequality?
2x - 3 > 15
Answers
x [tex]\geq[/tex] -9; x [tex]\leq[/tex] 6 or in interval notation [-9,6]
To find out what are the steps in solving the below inequality:
Given equation is 2x - 3 > 15
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
−15≤2x-3≤15
First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:
−15−3≤2x-3−3≤15−3
−18≤2x-6≤12
−18≤2x-6≤12
Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:
[tex]-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}[/tex]
-9 [tex]\leq[/tex] x [tex]\leq[/tex] 6
or
x [tex]\geq[/tex] -9; x [tex]\leq[/tex] 6
or in interval notation [-9,6]
on the horizontal axis.
The lines will be a solid line because the inequality operators contain "or equal to" clauses.
We will shade between the lines to show the interval:
Hence the steps to solve an inequality has been show
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answers
Answer:
<3, < 6, <7 are all 102,
<1, <4, <5 and <8 are all 78
Step-by-step explanation:
If you slide angles 1, 102, 3 qnd 4 down along p, they will fit perfectly over 5,6,7 and 8. So if you find the top four angles, you have found the bottom 4 angles.
<3 is a vertical angle to 102 and vertical angles always have the same measurement.
Angles 1 and 4 are supplemental to 102. That means that the two angles will add to 180. 180 - 102 = 78
Solve four-sixths minus three-fifths equals
Answers
Answer:
D 1/15 or 2/30
Step-by-step explanation:
Just make sure your subtracting and making sure that the answer choices don't throw you off, reduce all of the answers
Answer:
2/30
Step-by-step explanation:
4/6-3/5
We have to find common denominator
30 is a common factor so we change both fractions to have a denominator of 30
4x5/6x5-3x6/5x6
20/30-18/30
Now we subtract numerators and keep denominators the same
2/30
Hopes this helps please mark brainliest
Use mental math to solve the equation.
4.
Z
= _5 (1 point)
-12
07
O-60
O-17
O 60
Answers
Using cross multiplication method we find out that the value of z is equals to 60. Therefore, the last option is correct.
The given equation is -
[tex]\frac{z}{-12}=-5[/tex]
We have to solve this equation.
Now,
[tex]\frac{z}{-12}=-5\\[/tex]
We have to use cross multiplication method to solve the given equation.
[tex]\frac{z}{-12}=-5\\\\= > z= (-5) (-12)\\= > z = 60[/tex]
Thus, by solving through cross multiplication method we find out that the value of z is equals to 60. Therefore, the last option is correct.
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√(14)*(3 √(7) + √(32) - √(28) + 2 √(2))
Answers
Answer:
27√2 -2√7 ≈ 32.8923
Step-by-step explanation:
Apparently, you want to simplify the expression √(14)*(3 √(7) + √(32) - √(28) + 2 √(2)).
Rules of radicals(√a)(√b) = √(ab)
√(a²b) = a√b
Application[tex]\sqrt{14}\cdot3\sqrt{7}+\sqrt{32}-\sqrt{28}+2\sqrt{2}\\\\=3\sqrt{14\cdot7}+\sqrt{4^2\cdot2}-\sqrt{2^2\cdot7}+2\sqrt{2}\\\\=3\sqrt{7^2\cdot2}+4\sqrt{2}-2\sqrt{7}+2\sqrt{2}=(3\cdot7+4+2)\sqrt{2}-2\sqrt{7}\\\\=\boxed{27\sqrt{2}-2\sqrt{7}}[/tex]
QUESTION 6/10 HELP ASAPP
Answers
Answer:
Bottom left option is correct.
Step-by-step explanation:
Now we have to find,
→ the table represents y as function of x.
Then the table will be,
→ | x || y |
| -1 || -1 |
| 0 || -1 |
| 2 || 0 |
| 3 || 2 |
(Because the values of x is not repeated)
Hence, bottom left option is correct.
Table number three represents y as a function of x.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
The data in table number 3,
x y
-1 -1
0 -1
2 0
3 2
The above table has different values of input and the other tables have different values of output at the same value as the input which is not possible.
Therefore, table number three represents y as a function of x.
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Look at the picture and answer the four questions
Answers
Answer:1=translation, 2= translation, 3=rotation, 4= reflection
Step-by-step explanation:
There is one negative solution and two nonreal solutions to the equation x3 + 87 = 7x2 + x. What are the solutions?
3, 5 + 2i, 5 – 2i
3, –5 + 2i, –5 – 2i
–3, 5 + 2i, 5 – 2i
–3, –5 + 2i, –5 – 2i
Answers
The solution of the equation is -3, 5+2i, 5-2i
What is solution of equation?
The solution of an equation is the array of all values that, when replaced for unknowns, make an equation true. For equations requiring one unknown, raised to a power one, two basic algebra rules involving the additive property and the multiplicative property are used to decide its solutions.
given equation is [tex]x^3+87=7x^2+x[/tex]
we can write it as
[tex]x^3+7x^2+x+87=0[/tex]
solving this cubic equation, we get
(x+3)(x2-10x+29)=0
x = -3 is the first root of the equation.
x2-10x+29 = 0
x =(-b±√b2-4ac)/2
x =(10±√-16)/2
x =5±2i
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Amy made $154 for 11 hours of work
At the same rate, how many hours would she have to work to make $126?
Answers
Answer: 9 hours
Step-by-step explanation:
Amount of money/ amount of hours worked
154/11 = 14
$14 made per hour, so $126 divide by 14 would equal to how many hours worked to have a same rate of $14 per hour.
126/14 = 9
AEFC is a Rectangle
Find:
1) ZX=
2) ZY =
3) ZZ =
Explain:
Explain:
Explain:
Answers
Step-by-step explanation:
X = 51. Parallel line angle rules, alternate angle is equal.
Straight angle is 180
Right angle is 90
Y = 180 - 51 - 90 = 39
Z = Y = 39. Parallel line angle rules, alternate angle is equal.
4 units squares each 5/7
Answers
Question:
4 unit squares each have 5/7 of their area shaded. What is the total area that is shaded?
The total area that is shaded=20/7 unit squares
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.
The total area= 4*(5/7)=20/7
This cannot be simplified any more than it is
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Type the missing number to complete the proportion. 18 deliveries in 3 hours = deliveries in 1 hour
Answers
Answer:
6 deliveries in 1 hour
Step-by-step explanation:
18 / 3 = 6
can you substitute -4x-y=4 and y=2x+2
Answers
Answer:
yes, by x=-1, y=0
Step-by-step explanation:
y=-4x-4
y=2x+2
-4x-4=2x+2
6x=-6
x=-1
y=0
Select the correct answer from each drop-down menu. A transversal t intersects two parallel lines a and b, forms two groups of angles. On top line a, starting from the top left, clockwise, angles are 1, 2, 3, and 4. On below line b, starting from the top left, clockwise, angles are 5, 6, 7, and 8. In the figure, , and both lines are intersected by transversal t. Complete the statements to prove that m∠1 = m∠5. (given) m∠1 + m∠3 = 180° (Linear Pair Theorem) m∠5 + m∠6 = 180° (Linear Pair Theorem) m∠1 + m∠3 = ∠5 + ∠6 ( ) m∠3 = m∠6 ( ) m∠1 = m∠5 (Subtraction Property of Equality)
Answers
The angles formed between the parallel lines a and b and their common transversal are; on line a; 1,2,3,4. On line b; 5,6,7,8,
A two column table can be used to prove m∠1 = m∠5 with the correct options underlined as follows;
Statements [tex]{}[/tex] Reasons
1. a ║ b [tex]{}[/tex] 1. Given
2. m∠1 + m∠3 = 180° [tex]{}[/tex] 2. (Linear pair Theorem)
3. m∠5 + m∠6 = 180° [tex]{}[/tex] 3. (Linear pair Theorem)
4. m∠1 + m∠3 = m∠5 + m∠6 [tex]{}[/tex]4. (Substitution property of equality)
5. m∠3 = m∠6 [tex]{}[/tex] 5. (Alternate interior angles)
6. m∠1 = m∠5 [tex]{}[/tex] 6. (Subtraction Property of Equality)
What are parallel lines?Parallel lines are lines on the same plane that do not intersect or have a common point as they extend indefinitely in both directions.
The theorems and properties used to prove that the angles m∠1 = m∠5 are as follows
Linear pair theorem;
The linear pair theorem states that two angles that together form a linear pair are supplementary angles (Add up to 180°)
Substitution property of equality;
The substitution property of equality states that if two variables have the same value, then one variable can replace the other variable in equations and expressions without changing their value.
Subtraction property of equality
The subtraction property of equality states that when the same quantity is subtracted from two equal expressions, the values of the new expressions will also remain equivalent
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Solve each of these equations. Explain or show your reasoning. Reduce all fractions in the lowest terms. Do not convert fractions into decimals.
You'll need to show ALL of your work to receive points.
1. 3b + 9 -5b + 3 = -14 + 6b - 8
2. 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
Answers
I can help you!
Answer:
1) b = 17/4
2) x = -3/5
Step-by-step explanation (question one):
Step 1: Simplify both sides of the equation.
3b +9 + −5b + 3 = −14 +6b +−8
(3b +−5b) +(9 +3)=(6b) +(−14 + −8) (Combine Like Terms)
−2b +12 = 6b −22
Step 2: Subtract 6b from both sides.
−2b +12 −6b = 6b −22 −6b
−8b +12 = −22
Step 3: Subtract 12 from both sides.
−8b +12 −12 = −22 −12
−8b = −34
Step 4: Divide both sides by -8.
(-8b/-8) = (-34/-8)
Step 5: Get your Answer
b = 17/4
Step-by-step explanation (question two):
Step 1: Simplify both sides of the equation.
2x +5 + −4x +8 = (5)(5) +(5)(6x) + −12x (Distribute)
2x +5 + −4x +8 = 25 +30x + −12x
(2x+−4x) + (5+8) = (30x +−12x) +(25) (Combine Like Terms)
−2x +13 = 18x +25
Step 2: Subtract 18x from both sides.
−2x +13 −18x= 18x +25 −18x
−20x +13 = 25
Step 3: Subtract 13 from both sides.
−20x +13 −13 = 25 −13
−20x=12
Step 4: Divide both sides by -20.
(-20x/-20) = (12/-20)
Step 5: Get your Answer
x = -3/5
Hope this helped you, good luck with your homework!
A person invests 5000 dollars in a bank. The bank pays 6.25% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars?
Answers
Based on the calculation below, the number of years the person must leave the money in the bank until it reaches 6500 dollars is 4.3 years.
How long must money be left in a bank to reach a particular amount?This can be calculated using the formula for calculating the future value (FV) as follows:
FV = PV(1 + r)^n ......................... (1)
Where:
FV = future value or the amount in the bank after certain years = 6500
PV = present value or the amount invested = 5000
r = quarterly interest rate = 6.25% / 4 = 0.0625 / 4 = 0.015625
n = number of quarters
Substituting relevant values into equation (1) and solve for n, we have:
6500 = 5000(1 + 0.015625)^n
6500 / 5000 = 1.015625^n
1.3 = 1.015625^n
Log linearize both sides, we have:
log1.3 = n * log1.015625
0.1139 = n0.0067
n = 0.1139 / 0.0067
n = 17 quarters
Number of years the money must be in the bank = n / number of quarters in a year = 17 / 4 = 4.25 years
To the nearest tenth of a year, we have:
Number of years the money must be in the bank = 4.3 years
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Answer:
Its actually 4.2
Step-by-step explanation:
saw it on delta
Is 24 simplified expression
Answers
i need help, which one is it???
Answers
Answer
the one on the bottom left
Step-by-step explanation:
3/2
Rise/run
Which equation is a point slope form equation for line AB?
A. y−2=2(x+2)
B. y−2=−2(x+6)
C. y−6=−2(x+2)
D. y−2=−2(x+2)
Answers
The equation of the line in point slope form is (c) y - 6 = -2(x + 2)
How to determine the line equation?The graph represents the given parameter
On the graph, we have the following points
(x, y) = (2, -2) and (-2, 6)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (2, -2) and (-2, 6)
Substitute the known values in the above equation
So, we have the following equation
m = (6 + 2)/(-2 - 2)
Evaluate
m = -2
The equation of a line can be represented as
y - Y = m(x - X)
Where
Slope = m = -2
(X, Y) = (-2, 6)
So, we have
y - 6 = -2(x + 2)
Hence, the line has an equation of y - 6 = -2(x + 2)
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please help
One side of a triangle is 1 inch longer than the shortest side and is 1 inch shorter than the longest side. The perimeter is 17 inches. Find the dimensions of the triangle.
Answers
Answer: [tex]4\frac{2}{3} in;[/tex] [tex]5\frac{2}{3} in;[/tex] [tex]6\frac{2}{3} in[/tex]
find perimeter and area of composite figure
Answers
the perimeter of the composite figure is 20cm and its area is 37cm².
what is perimeter ?
Perimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the distance around the outside of a shape. To find the perimeter of a shape, you simply add up the lengths of all its sides.
In the given question,
To find the perimeter of the composite figure, we need to add up the lengths of all the sides.
Starting from the left side of the figure, we have a vertical line segment of length 6cm, followed by a horizontal line segment of length 5cm, then another vertical line segment of length 2cm, followed by a slanted line segment of length 3cm, then another horizontal line segment of length 2cm, and finally, a vertical line segment of length 2cm.
So the perimeter of the composite figure is:
Perimeter = 6cm + 5cm + 2cm + 3cm + 2cm + 2cm
Perimeter = 20cm
To find the area of the composite figure, we can break it down into simpler shapes and add up their areas.
The composite figure can be split into two rectangles, one with dimensions 6cm x 5cm and the other with dimensions 2cm x 2cm, and a right triangle with base 3cm and height 2cm.
The area of the first rectangle is:
Area = length x width
Area = 6cm x 5cm
Area = 30cm²
The area of the second rectangle is:
Area = length x width
Area = 2cm x 2cm
Area = 4cm²
The area of the right triangle is:
Area = (base x height) / 2
Area = (3cm x 2cm) / 2
Area = 3cm²
Therefore, the total area of the composite figure is:
Area = 30cm² + 4cm² + 3cm²
Area = 37cm²
So the perimeter of the composite figure is 20cm and its area is 37cm².
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Find both unit rates.
They paid $96.88 for 8 pizzas.
Question 1 options:
$12.11/pizza and about 0.08 pizza/dollar
A: $12.11 pizza/dollar and about $0.08/pizza
B: $96.88/pizza and about 8 pizzas/dollar
C: 8 pizzas/dollar and about $96.88/pizza
Answers
Answer:
A
Step-by-step explanation:
Select the correct answer.
What are the attributes of the boundary line of this inequality?
-3x − 2y < 6
A.
The line is solid with a y-intercept at (0,-2) and slope of
B.
The line is solid with a y-intercept at (0,-3) and slope of -
C.
The line is dashed with a y-intercept at (0,-2) and slope of
D.
The line is dashed with a y-intercept at (0,-3) and slope of -
Answers
The line is dashed with a y-intercept at (0,-2) and slope of -3/2 which is a correct option(C)
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
-3x - 2y <6
Let's consider an equation of a line,
-3x-2y = 6
-2y = 3x + 6
y = -3/2x - 3
So, slope = -3/2
Substitute y =0 in the equation of a line
So, y-intercept at (0,-2)
Due to Inequality, the graphical representation of the line is a dashed line.
Hence, the line is dashed with a y-intercept at (0,-2) and a slope of -3/2
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what operation appears to be "flipping" the sign?
Answers
25 PTS!!! NEED ANSWER WITHIN 5 MINS!!!!!!
Select the correct answer.
Which line has a y-intercept of 2 and an x-intercept of -3?
Answers
Answer:
W
Step-by-step explanation:
It intercepts the y at 2 and x at -3
Answer:
W.
Step-by-step explanation:
The y-intercept of 2 can be found on the vertical line ( up and down ) and the x-intercept of -3 can be found on the horizontal line ( left to right )
Therefore the answer would be graph W.
What’s the answer to this ?
Answers
1. The measure of angle H is 79 degrees
2. The measure of angle G is 54 degrees
What is isosceles triangle?
An isosceles triangle is one that has two sides of equal length.
The angles opposite to equal sides are equal.
1. Given is isosceles triangle
∠H=∠O = x
sum of all interior angles of a triangle= 180 degrees
22+x+x=180
2x+22=180
2x=158
x=158/2=79
So, ∠H=79
2. Given is isosceles triangle
∠D=∠O = 63
Let ∠G=x
sum of all interior angles of a triangle= 180 degrees
63+63+x=180
x+126=180
x=180-126=54
So, ∠G=54
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Write the equation of a sine or cosine function to describe the graph.
Answers
Answer:
Step-by-step explanation:
first of all the graph is shifted up by 1 then we should add 1 to the function we have.
after that its obvious that the function is sine because if we remove the 1 we add it then it will be 0 when the angle is 0.
the function we have now is y = 1 + sin(ax).
to know the value of a we choose an angle we already know its sine for example:
2 = 1 + sin(a * 1/8)
1 = sin(a * 1/8)
sin-1(1) = PI/2 = a*1/8 => PI = 180
a = 4 * PI
at the end we will have => y = 1 + sin(4PI * x).
what is the goal of a confidence interval? select one: a. to create a larger sample b. to provide a range of values that are reasonable for the parameter of interest c. to determine if the data can refute an assumption about a parameter or population d. to give a strong statement about a statistic
Answers
The goal of a confidence interval is to provide a range of values that are reasonable for the parameter of interest. So the correct option is (A).
The goal of a confidence interval is to provide a range of values that is reasonable for the parameter of interest. The confidence interval is based on the sample data and the level of confidence. The level of confidence is the probability that the confidence interval contains the true value of the parameter.
The confidence interval is calculated using the sample mean, the sample standard deviation, and the level of confidence. The confidence interval is calculated by adding and subtracting the margin of error from the sample mean. The margin of error is the product of the critical value and the standard error. The critical value is based on the level of confidence. The standard error is the standard deviation of the sampling distribution.
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