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2 years ago

What is the measure of the exterior angle?

Mathematics

1 answer:

valina [46]2 years ago

8 0

the answer is 130 degrees, the 2 interior bottom angles are = to one another so 65 and 65, adding them up makes it 130, then 180 - 130 = 50, meaning the top interior angle is 50 degrees, then 180 - 50 is 130.

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Given that f(x) = ax – 5 and f(4) = 15, determine the value of a.

agasfer [191]

Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

The given function is:

f(x) = ax - 5

If f(4) = 15, then x = 4

Substitute x = 4 into f(x) = ax - 5

f(4) = a(4) - 5

15 = 4a - 5

Solve for a by adding 5 to both sides

15 + 5 = 4a - 5 + 5

20 = 4a

Divide both sides by 4

4a/4 = 20/4

a = 5

Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

Learn more on linear functions here: brainly.com/question/15602982

8 0

2 years ago

Evaluate the expression when a=-5 and c=3.<br> a-5c

Vinil7 [7]

Answer:

its either -20 or -7

Step-by-step explanation:

i believe its -20 tho hope it helps

8 0

3 years ago

Read 2 more answers

Help anyone can help me do this question,I will mark brainlest.

astraxan [27]

d =√((x_2-x_1)²+(y_2-y_1)²)

This is the formula of distance between

So, I hope u will get all answer of the questions by using this formula...

Thanks...

8 0

2 years ago

Construction paper cost $0.10 per square inch. How much will Susan spend to make this figure out of construction paper?

AfilCa [17]

The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

Step-by-step explanation:

The given is,

Construction paper cost $0.10 per square inch

Pyramid diagram with dimensions

Step:1

Formula to calculate the area of pyramid,

$Area, A = lw+l\sqrt{(\frac{w}{2}) ^{2} + h^{2} } +w \sqrt {(\frac {l} {2}) ^{2} + h^{2} }$ ..............(1)

Where,

l - Base length

w - Base width

h - Height of pyramid

From given,

l = 12 inches

w = 12 inches

For height of pyramid,

By using Pythagorean theorem,

$Hypotenuse^{2} = Base^{2} + Height ^{2}$ .................(2)

For right angle triangle,

Base = $\frac{12}{2}$ = 6 inches

Equation (2) becomes,

$8^{2} = 6^{2} + Height^{2}$

$Height^{2} = 8^{2} - 6^{2}$

$Height^{2} = 64 -36 = 28$

$Height = \sqrt{28}$

Height = 5.2915 inches

h - 5.2915 inches

Equation (1) becomes,

$A = (12)(12)+(12)\sqrt{(\frac{12}{2}) ^{2} + 5.2915^{2} } +(12 )\sqrt {(\frac {12} {2}) ^{2} + 5.2915^{2} }$

$= 144+(12)\sqrt{(36+27.999)} +(12)\sqrt{(36 + 27.999)}$

$= 144+(12)\sqrt{63.999}+(12)\sqrt{63.999}$

$= 144+(12)(7.9999)+(12)(7.9999)$

$=144+95.999+95.999$

$=335.998$

≅ 336 square inches

Where,

$0.10 per square inch ( from given)

Paper cost of total figure = 336 square inches

= 336 × 0.10

= $ 33.60

Result:

The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

8 0

2 years ago

a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the

Alekssandra [29.7K]

Answer:

6 ft.

Step-by-step explanation:

$a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6$

5 0

3 years ago