Answers
This is because the 85° opposite angle is part of the triangle, and the 98° is apart of a straight line (180°-98°=82°) in which the 82° is also apart of the triangle (because of the c pattern) and lastly as it is a triangle you just do 180°-(85°+82°) which equals 13°
Answer:
Opposite angles are equal
Corresponding angles are equal
Angles on straight lines adds to 180
Angles in triangle adds to 180
180-98=82
82+85=167
180-167=13
Answer is 13
Related Questions
Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
Answers
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)
Answers
Step-by-step explanation:
2x+y+5=0 is the required equation of the line
3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.
Answers
Answer:
Hello!
After reading the question you have provided I have come up with the correct numerical expression:
4x5-1
Step-by-step explanation:
To come up with this solution you need to keep in mind some of the terminoloy being used.
The word "subtract" comes from the action of subtraction
The word "product" comes from the action of multiplication
Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".
So you get the first part being 4x5
Then, you add in the last part of "subract 1" from the "product of 4 and 5":
4x5-1
Remember to keep in mind the rule of "PEMDAS"
You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.
Here to form the numerical expression we will first do the product of 4 and 5 and then subtract 1 from their resultant and that is ou required answer.
What is numerical expression ?A numerical expression is written in terms of numbers and their operations numerical expression can of many types for example arithmatic expression , alzebraic expression etc.
some examples of arithmatic operations are -
240+130 = 370
240÷12 = 20
Some examples of alzebraic expressions are
3x + 4y = 7
x² + 3x - 7 = 0
In the given question subtract 1 from the product of 4 and 5 can be expressed as (4x5) - 1 = 20 - 1 = 19
Leran more about numerical expression here :
https://brainly.com/question/27951632
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The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:
Answers
Answer:
3/8 or 0.375
Step-by-step explanation:
............
Answer:
5/4
Step-by-step explanation:
Area of a rectangle = length * width
A = 3/4, W = 3/5, L = ?
3/4 = L * 3/5
[tex]\frac{3}{4}= L\frac{3}{5}[/tex]
L * 3 * 4 = 3 * 5
12L = 15
L = 15/12 = 5/4
Determine whether these two ratios
form a proportion:
8/10 and 24/30
Answers
The proportion you’re looking for would be 2/5, it is the smallest possible fraction
A store-bought 400 toys at a cost of $10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.
Answers
Answer:
Step-by-step explanation:
38+105= 143, 39+104=143, and you will find then adding the numbers
2+2+30+40+15000+18000
Answers
Answer:
33074
Step-by-step explanation:
Please give brainliest
Answer:
[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]
[tex]i \: hope \: it \: is \: helpfull[/tex]
robin counts by 7 to 70. how many off numbers does robin say ?
Answers
Answer:
10
Step-by-step explain
please help I don't understand what it wants :(
NO LINKS!!!!!!!!
Below are two parallel lines with a third line intersecting them.
× = ____ °
Answers
Answer:
x=116°
Step-by-step explanation:
we have two parallel line and x=116
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answers
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test
Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Answers
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
Solve it ( i'll select u as brainlist )
Answers
Answer:
x=5/6 y=8/5
Step-by-step explanation:
times the second one w 2
equals to -12x+10y=-6
then add this to the above one together,you can eliminate the x, then solve an equation w only y.
after you get y, get it into whatever the above one or below one,you will get the x as well
Answer:
x = 5/6
y = 1 and 3/5
Step-by-step explanation:
12x + 15y = 34
-6x + 5y = 3
12x + 15y = 34
3(-6x + 5y = 3)
12x + 15y = 34
-18x + 15y = 9
30x = 25
30x/30 = 25/30
x = 5/6
-6x + 5y = 3
-6(5/6) + 5y = 3
-5 + 5y = 3
+5 +5
5y = 8
5y/5 = 8/5
y = 1 3/5
which reason would be used to justify the last step in the proof below
Answers
Answer:
1.
Step-by-step explanation:
Which equation has no solution?
A.
B.
C.
D.
Answers
Answer:
C.
Step-by-step explanation:
The equation will have no solution if it reduces to the form ...
1 = 0
Other possible forms are ...
0 = 0 . . . . infinite solutions
y + c = 0 . . . . one solution
___
The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.
A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0 ⇒ 0 = 0 (infinite solutions)
B. 32x +25 -21x - 10x = 0 ⇒ x +25 = 0 (one solution)
C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0 ⇒ 1 = 0 (no solutions)
D. 1/3 +1/7y -3/7y = 0 ⇒ y -7/6= 0 (one solution)
Jim holds $50.000 in money at the beginning of the year. The annual inflation rate is 2 percent, and the price level rises from 10 to 1.02. What is the "inflation tax" that Jim pays at the end of the year? Jim pays an inflation tax of
Answers
Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000
Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.
With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:
= Cash holdings x Inflation rate
= 50,000 x 2%
= $1,000
In conclusion, Jim will pay an inflation tax of $1,000.
Find out more at https://brainly.com/question/13724038.
Solve for x:
x+1/4 = 5/8
STEP 1: Cross multiply and write the new equation: ________
STEP 2: Add/Subtract on both sides and write the new equation: _______
STEP 3: Divide both sides of the equation and write the solution:
x = ________
Answers
Answer:
x = 3/8
Step-by-step explanation:
[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]
Cross multiply,
8*(4x +1) = 5*4
8*4x + 8*1 = 20
32x + 8 = 20
Subtract 8 from both sides
32x = 20 - 8
32x = 12
Divide both side by 32
x = 12/32
x = 3/8
which table represents a linear function?
Answers
Answer:
the first
Step-by-step explanation:
You want to buy dome new books that cost $13 each. Shipping is $5 per order. If you but 9 books, what us the cost of the order
Answers
13(9)+5 = $122 if you buy all of the books in the same order.
$13 per book, 9 books. 13•9=117
A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km
Answers
Step-by-step explanation:
altitude here is represent by height ok in this case...
if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...
and the information from the question just sun it into the tan formula...this is trigo...
then u add the value to get the total distance..
the answer is 13.87km
hope u understand...
3. Solve 7x - 13 = 3x - 1
[Write the properties of equality for each step}
Answers
-3x -3x (subtraction)
4x-13=-1
+13 +13 (addition)
4x=12
/4 /4 (divide)
x=3
Hope this helps!!
What is 43% of what is 27?
Answers
Answer:
[tex] \frac{43}{100} \times 27 = \frac{1161}{100} = 11.61[/tex]
[tex]11.61 \: is \: the \: ans[/tex]
Answer:
11.61
Step-by-step explanation:
% means 100
so we have 43/100
of means multiplication X 27
so we have 43/100x27
and the answer is 11.61
if you want to approximate it is 12
In the following figure the value of x is.....
a)10 b) 15 c) 65 d) 25
Answers
Answer:
"In the following figure"?
There is no following figure
Step-by-step explanation:
can someone help me please
Answers
Answer:
a) interior angle: 156°
b) exterior angle: 24°
Step-by-step explanation:
b)The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...
360°/15 = 24°
__
a)The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...
180° -24° = 156°
_____
Additional comment
We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.
What is the slope of the graph shown below?
Answers
Answer:
A -2
Step-by-step explanation:
the line meets up there and it would be rise divided by run and it would get you -2
Answer:
Step-by-step explanation:
You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.
V^2=u^2 + 2as rearrange to s subject
Answers
[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]
I dont know how to solve these still
Answers
Answer:
x = 20*
Step-by-step explanation:
180 - 110 = 70
90 - 70 = 20
x = 20*
reason is #5 Algebra
Have a nice day! :-)
Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).
Answers
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
12x-15 distributive property
Answers
[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
How do I graph y=-2x+7?
Answers
Answer:
Step-by-step explanation: