Answers
because angle x and 42° are alternate angles which are equal (these angles are found on a ‘Z’ shape)
y = quite some steps (need to work out other letters beforehand)
w = 70° because w and 70° are corresponding angles (also equal and are found on ‘F’ shapes, thus F is easier to see if the line is extended or mathematically called along the transversal, the transversal is just a line that intersects two parallel lines)
The angle opposite x is also 42° because vertically opposite angles are equal.
Now, all the angles in a triangle add to 180° so y + w (70) + 42 = 180
y = 180-112
y = 68°
Hope this helps!!
Related Questions
This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V?
In your answer, give the scale factor that was used and explain how you
calculated it.
Answers
The scale factor used to create the dilated Triangle M'S'V is 2/3.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.
Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3
The scale factor used to create the dilated Triangle M'S'V is 2/3.
Find out more on Transformation at: https://brainly.com/question/1462871
Please help ASAP!!!!!!!!!
Answers
Answer:
V = 324π in^3
Step-by-step explanation:
Volume of a cylinder: V=π*r^2*h
V=π*r^2*h
V=π*r^2*h
V = π*6^2*9
V = π*36*9
V = 324π in^3
Hope this helps!
Which segment is a reflection of segment AB over the line x = 1? Line segment C D Line segment E F Line segment G H Line segment I J.
Answers
Answer:
A
trust me
have a good day brainliest and 5 star please :D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
10) Alexa bought 8 of this year's hottest
Alex bought 8 of this years hottest Christmas toys for $45.99 each and plans
to sell them for a mark-up price of 60%.
a) How much will Alexa sell each of the
toys for?
b) What is her total profit?
c) Is your answer reasonable?
How do you know?
Answers
Answer:
your answer you may be looking for are:
A. 73.58
B. 588.64
Up to this point, the only types of numbers you've seen have been rational numbers. You can write any rational number as a fraction. The prefix ir- means not. What do you think it means for a number to be irrational? Can you think of any numbers that are irrational?
Answers
Answer:
Since rational numbers can be written as a ratio, such as a/b, then irrational numbers can not be written that way.
Step-by-step explanation:
Square roots of non-perfect squares are irrational numbers because they are non-terminating and non repeating decimals
The volume of a sphere is 972π ft³. What is the radius of the sphere? Enter your answer in the box. Ft.
Answers
Answer: R= 6.15
Step-by-step explanation:
i did it on a piece of paper
Can you solve (x-2)(x+3) = 5 by solving x - 2 =5 and x + 3 =5? Why or why not?
Answers
Answer:
no we cannot because when we solve x-2=5 it gives x=7 and x+3=5 gives x=2 if we place the x value as 7 then it does not justify (x-2)(x+3)=5, if we put x= 2 then again it does not justifies (x-2)(x+3)=5
Step-by-step explanation:
x-2=5
x=5+2
x=7
x+3=5
x=5-3=2
putting x=7 in given equation
(7-2)(7+3) is not equal to 5
putting x=2 in given equation
(2-2)(2+3) is not equal to 5
that's why we can't solve
Multiply then write the answer in descending order of the variable
(2x-3)(2x^2-3x+4)
Answers
Answer:
4x^3 -12x^2 +17x -12
Step-by-step explanation:
Use the distributive property, and collect terms.
(2x -3)(2x^2 -3x +4)
= 2x(2x^2 -3x +4) -3(2x^2 -3x +4)
= 4x^3 -6x^2 +8x -6x^2 +9x -12
= 4x^3 -12x^2 +17x -12
Can someone help me with this square root problem?
Answers
Answer:
200
Step-by-step explanation:
11^2+10^2=x^2
121+100=x^2
221=x
nearest 100th would be 200
There are five marbles in a bag two are yello and three are green. You draw a marble, replace it, and then draw another. What is the probability of choosing two yellow marbles
Answers
Answer: 2/5
Step-by-step explanation:
Since there are 5 marbles and 3 aren't yellow, you have a 2/5 chance to choose the other two yellow marbles
Hope this helps:)
Pls help asap NOWWWWW
Answers
Apply BPT theorem or Thales theorem
LM^2=KM×MNSo
∆KLM~∆LMNAnd
∆KLM~∆KLNOption A
which interest rate and time would result in the lowest total loan repayment for a %50,000 loan earning simple interest?
A. 30 years at 3%
B.25 years at 3.5%
C.15 years at 6%
D 20 years at 4.5%
Answers
Answer: Choice B
Explanation:
Convert each percentage mentioned to decimal form. Example: 3% = 0.03
Then multiply each time value with the decimal form of the interest rate.
A) 30*0.03 = 0.9B) 25*0.035 = 0.875C) 15*0.06 = 0.9D) 20*0.045 = 0.9Choice B yields the smallest result, so it will lead to the lowest amount of interest to pay on top of the principal. Therefore, option B is the best route to have the lowest total repayment.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Directed line segments Ac, DF, and PQ are shown on the graphs. Match each graph with the ratio In which the directed line segment is
partitioned.
4:1
2:1
3:2
3:1
1:1
y
x
O
-4
-2
4
-2
X
4
+
Answers
Answer:
the first graph is 3:2
the second is 3:1 or 2:1 i'm not 100% sure on that one
the third is 1:1
Step-by-step explanation: I took the test and got it right
I hope this helps:)
A ratio shows us the number of times a number contains another number. The ratio of DE to EF is 3:2. The ratio of DE to EF is 3:1.
What is a Ratio?A ratio shows us the number of times a number contains another number.
1.)
DE = √(6² + 3²)
= √45
= 3√5
EF = √(4² + 2²)
= √20
= 2√5
Ratio = 3√5 / 2√5 = 3/2
Hence, the ratio of DE to EF is 3:2.
2.)
PQ = √(6² + 3²)
= √45
= 3√5
QR = √(1² + 2²)
= √5
Ratio = 3√5/√5 = 3:1
Hence, the ratio of DE to EF is 3:1.
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x/3-4=7
whats the answer i cant figure this out?
Answers
I think x is 33
that's your answer
anyone good at division? i am straight up not understanding this.
Answers
1/2 x² + x + 3/2 is the correct answer......
Help ME !! Its A Math Problem! To avoid working with messy fractions when solving a quadratic equation by completing the square, the b value should be:
negative
zero
odd
even
Answers
When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.
PolynomialA polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomial are classified based on degree as linear, cubic, quadratic etc.
A quadratic equation is of degree 2. It is given by:
y = ax² + bx + c
where a, b and c are constants
When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.
Find out more on Polynomial at: https://brainly.com/question/2833285
Luke throws a fair coin n times
Find an expression, in terms of n, for the probability that Luke gets at least 1 head and at least 1 tail.
Answers
Answer:
[tex]\frac{n^{2} }{4}[/tex]Step-by-step explanation:
We know that the coin has 2 sides, which is tails and heads.
the total number of options is 2. whereas if tails or heads, 1 options
For tails:
[tex](\frac{1}{2}) *n[/tex]
[tex]\frac{n}{2}[/tex]
For heads:
[tex](\frac{1}{2} ) * n[/tex]
[tex]\frac{n}{2}[/tex]
If he does this in a row and expects 1 head and tail:
[tex]\frac{n}{2} * \frac{n}{2}[/tex]
[tex]\frac{n^{2} }{4}[/tex]
Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary. Charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. What will Charlene’s new net income be? a. $113. 70 b. $176. 70 c. $229. 95 d. $238. 70.
Answers
Charlene’s new net income will be $113.70.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the monthly salary of Charlene is $3,410. While her net income is 7% of her monthly income. Therefore, the net income of the Charlene is
[tex]7\%\ of\ \$3410 = \text{Charlene Net income}\\\\\dfrac{7}{100} \times 3410 = \text{Charlene Net income}\\\\ \text{Charlene Net income} = \$238.7[/tex]
Thus, Charlene's net income is $238.7.
Now since Charlene is going to reduce her net income by $125 each month, therefore,
Charlene New Net Income = Charlene Net Income - $125
= $238.7 - $125
= $113.70
Hence, Charlene’s new net income will be $113.70.
Learn more about Percentage:
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Helppp please I need help
Answers
Answer:
Beyond his military accomplishments, Genghis Khan also advanced the Mongol Empire in other ways. He decreed the adoption of the Uyghur script as the Mongol Empire's writing system. He also practised meritocracy and encouraged religious tolerance in the Mongol Empire, unifying the nomadic tribe Northeast Asia .
Step-by-step explanation:
Hope This Helps :)
The shaded shape is made by joining a square and a rhombus.
Find the area of the shaded shape.
Answers
To find area of first figure:
[tex] \\ [/tex]
As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.
[tex] \\ [/tex]
So to find Area of a Square:-
We know :-
Area of square = side²
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
⇢ Area of square = side²
[tex] \\ [/tex]
⇢ Area of square = side × side
[tex] \\ [/tex]
⇢ Area of square = 5 × 5
[tex] \\ [/tex]
⇢ Area of square = 25 cm²
[tex] \\ [/tex]
Therefore Area of first figure is equal to 25 cm²
[tex] \\ [/tex]
To find area of second figure:
[tex] \\ [/tex]
So we have find area of square and now as in question given next shape is rhombus.
[tex] \\ [/tex]
There are two Formulas of rhombus :
Area of rhombus = (Digonal 1 × Diagonal 2)/2Area of rhombus = Base × Height[tex] \\ [/tex]
We have to use second formula as Digonals aren't given :
⇢ Area of rhombus = Base × Height
[tex] \\ [/tex]
⇢Area of rhombus = 4.5 × 5
[tex] \\ [/tex]
⇢Area of rhombus = (45 × 5)/10
[tex] \\ [/tex]
⇢Area of rhombus = (45 × 1)/2
[tex] \\ [/tex]
⇢ Area of rhombus = 45/2
[tex] \\ [/tex]
⇢ Area of rhombus = 22.5 cm²
[tex] \\ [/tex]
Therefore Area of first figure is equal to 22.5 cm²
[tex] \\ [/tex]
Area of whole shaded figure:
⇢A = Area of first figure + Area of second figure
[tex] \\ [/tex]
⇢ A = 25 + 22.5
[tex] \\ [/tex]
⇢ A = 47.5 cm²
[tex] \\ [/tex]
Therefore Area of whole shaded figure is equal to 47.5 cm².
Determine whether the relation is a function. Explain why or why not.
{(2, 5), (3, –5), (4, 5), (5, –5)}
Answers
This relation is a function. This is because no x value is repeated, so it passes the vertical line test.
Here is an example of where a relation is NOT a function:
{(2, 5), (3, –5), (2, 5), (5, –5)}
Hope this helps!
What is the answer??
Answers
Answer: I THINK ITS (-10/8)
Step-by-step explanation:
anna had 5.00 to buy school supplies after buying 4 pencils she had 3.75 which of the following ratios shows one way to determine the unit price of the pencils
A)$5.00/4
B)$1.25/4
Answers
Answer:
B) $1.25/ 4
Step-by-step explanation:
if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.
$5.00 subtract $3.75 equals $1.25
hope this helps :D
Harry took out an 80/20 mortgage to buy a house costing $175,000. The first
(80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?
Answers
Answer:
WEll the answer is d
Step-by-step explanation:
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%) mortgage has an interest rate of 7.525%. Both are 30-year fixed-rate mortgages.
======================================================
Explanation:
The formula we'll be using is
P = (L*i)/( 1-(1+i)^(-n) )
where,
P = monthly paymentL = loan amounti = interest rate per month in decimal formn = number of months---------------------
For the first mortgage (80%), we need to find out the L value
L = 80% of 175,000 = 0.80*175,000 = 140,000
The monthly interest rate is the annual rate over 12
i = r/12 = 0.0475/12 which I'll keep as a fraction
Lastly, this mortgage goes for 30 years aka 30*12 = 360 months. So n = 360.
To summarize the input values we'll use, we have,
L = 140,000i = 0.0475/12n = 360Let's compute the monthly payment
P = (L*i)/( 1-(1+i)^(-n) )
P = (140,000*0.0475/12)/( 1-(1+0.0475/12)^(-360) )
P = 730.30627110436 approximately
P = 730.31
The first mortgage has a monthly payment of $730.31
We'll use this later.
---------------------
Now onto the second mortgage (20%)
L = 20% of 175,000 = 0.20*175,000 = 35,000
i = r/12 = 0.07525/12 which I'll keep in fraction form
n = 360 months (same as before)
In short,
L = 35,000i = 0.07525/12n = 360So,
P = (L*i)/( 1-(1+i)^(-n) )
P = (35,000*0.07525/12)/( 1-(1+0.07525/12)^(-360) )
P = 245.32451498724 approximately
P = 245.32
The second mortgage has a monthly payment of $245.32
---------------------
The last step is to add the two monthly payments (found at the conclusion of each previous section)
730.31 + 245.32 = 975.63
if x =5 and y = 2,work out the value of
2x²
Answers
Answer:
50
Step-by-step explanation:
2(5)^2=2(25)=50
NEED HELP ASAP
What is the value of x?
Enter your answer in the box. with straight line with a slightly titled line on top to the right, on the left of that line is (10x-20) and on the right side says (6x+8)
Answers
Suppose a city with population 800,000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 22 years
Answers
Answer:
2,340,208.5 or 2,340,209
Step-by-step explanation:
You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times. But that would take a while.
we got 1.05 because the formula says that y = a( 1 + r ) power t
for a we will give it 1
so y = 1 ( 1 + 0.05) power t
it will give us 1.05
to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.
So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209
I WILL GIVE BRAINLIEST!!!!!
What is the justification for step 2 in the solution process?
1/2r+1/2=-2/7r+6/7-5
Step 1: 1/2r+1/2=-2/7r-29/7
Step 2: 1/2r=-2/7r-65/14
A.) The subtraction property of equality
B.) The multiplication property of equality
C.) The division property of equality
D.) The addition property of equality
Answers
Answer:
Option AStep-by-step explanation:
At Step 2 you subtract 1/2 from both sides of the equation:
1/2r = - 2/7r - 29/7 - 1/21/2r = - 2/7r - 58/14 - 7/141/2r = - 2/7r - 65/14Its justification is therefore is:
A) The subtraction property of equalityThe perimeter of a book is 70cm. Its length is 20cm. What is the width?
Answers
The perimeter of an object is the sum of all sides.
a book is a rectangle which has 4 sides. 2 sides would be the length and 2 sides would be the width.
Set up the equation:
70 = 20 + 20 + x + x
Simplify
70 = 40 + 2x
Subtract 40 from both sides
30 = 2x
Divide both sides by 2
X = 15
The width of the book is 15 cm
what is 4 7/8 - 2 3/4
Answers
[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]
Step-by-step explanation
[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow \dfrac{17}{8}[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]