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3 years ago

In Exercises 15-18, find the measure of the exterior angle.

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

$(2x-2)\°=x\°+45\°$

solve for x

$2x-x=45+2$

$x=47\°$

Find the measure of the exterior angle

$(2x-2)\°=(2(47)-2)=92\°$

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PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

$c^{2} =a^{2} +b^{2}$

c = $\sqrt{a^{2} +b^{2} }$

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = $\sqrt{40^{2} + 9^{2} }$

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = $\sqrt{12^{2} + 13^{2} }$

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$35^{2} = 20^{2} + b^{2}$

1225 = 400 + $b^{2}$

$b^{2}$ = 1225 - 400

$b^{2}$ = 825

$\sqrt{b^{2} } = \sqrt{825}$

b = 5 $\sqrt{33}$

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$37^{2} = 20^{2} + b^{2}$

1369 = 400 + $b^{2}$

$b^{2}$ = 1369 - 400

$b^{2}$ = 969

Taking square root on both sides

b = 31.12

Hope it helps.

4 0

3 years ago

Please I need help with this!!!!!!

Bezzdna [24]

Answer:

Step-by-step explanation:

1) Step 4: Marc has converted radical form to exponent form

Step 5: He has evaluated the value of the radical

$x = \sqrt[3]{8}$

Here, 3 is index and 8 is radicand.

Prime factorize 8 and for every 3 numbers we can take one number outside the radical

Solution:

$x = \sqrt[3]{2*2*2}\\\\x = 2$

4) No,my equation does not have an extraneous solution.

My solution, satisfies the equation

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3 years ago

4=(1/2)^× solve for x

cricket20 [7]

$4=\left(\frac{1}{2}\right)^x\\
2^2=2^{-x}\\
x=-2
$

4 0

3 years ago

Tickets prices for a science museum are $18 for adults and $12 for students. If $162 is collected from a group of 12 people, how

riadik2000 [5.3K]

X=number of adults, y= number of students

x+y=12
18x+12y=162

You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:

3x+2(12-x)=27
3x-2x+24=27
x=3.

Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.

6 0

4 years ago

Write the ratio<br> 2/3 /5<br> in simplest form

Ierofanga [76]

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

5 0

3 years ago

In Exercises 15-18, find the measure of the exterior angle.​

In Exercises 15-18, find the measure of the exterior angle.