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yuradex [85]
3 years ago
13

Find the size of angle a

Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

36 degrees

Step-by-step explanation:

4a+3a+2a+a=360

10a=360

A=36

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Suppose an investment account is opened with an initial deposit of $11,000 earning 7.2% interest. Round all answers to the neare
Bingel [31]

Answer:$800 to the nearest dollar

Step-by-step explanation:

To find this

7.2/100×$11000

=$792

To the nearest dollar

$800

8 0
3 years ago
Bonus: In Triangle STP, the measure of <T is twice the measure of <S and the
olganol [36]

Answer:

m∠S=30°

m∠T=60°

m∠P=90°

Step-by-step explanation:

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

In the triangle STP

m∠S+m∠T+m∠P=180° ----> equation A

m∠T=2(m∠S) ----> equation B

m∠P=3(m∠S) ----> equation C

Solve the system of equations by substitution

Substitute equation B and equation C in equation A

m∠S+2(m∠S)+3(m∠S)=180°

Solve for m∠S

6m∠S=180°

m∠S=30°

<em>Find m∠T</em>

m∠T=2(m∠S)

m∠T=2(30°)=60°

<em>Find m∠P</em>

m∠P=3(m∠S)

m∠P=3(30°)=90°

3 0
3 years ago
Polygons must have which of the following characteristics to be considered similar
Tems11 [23]
They have to be straight line objects with no curves
6 0
3 years ago
What is the length of GH¯¯¯¯¯¯, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base s
nlexa [21]
By applying the law of sines.

\frac{GH}{sin \ J} =  \frac{GJ}{sin \ H}

Given:
<span>GJ = 10 , ∠J =45° , ∠H = 31°

∴ </span><span>\frac{GH}{sin \ 45} =  \frac{10}{sin \ 31}

∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m
</span>
8 0
3 years ago
Read 2 more answers
What is an equivalent expression to 3(4m-2)-2(m+5)
Pavel [41]

Answer:

10m - 16

It's basically the same thing but simplified to make it easier to solve.

Step-by-step explanation:

3(4m-2)-2(m+5)

|

v

Distribution

|

v

12m-6-2m-10

|

v

Combining Like Terms

|

v

10m-16

8 0
3 years ago
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