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Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.

Lisa [10]

Answer:

The third exterior angle is $103^o$

Step-by-step explanation:

Given

$\theta = 158^o$

$\alpha = 99^o$

Required

The third exterior angle $(\beta)$

The exterior angles of a triangle add up to 360 degrees.

So:

$\theta + \alpha + \beta = 360^o$

Make $\beta$ the subject

$\beta = 360^o - (\theta + \alpha)$

Substitute known values

$\beta = 360^o - (158^o + 99^o)$

$\beta = 103^o$

4 0

3 years ago

Factor the expression completely. 625x4 - 256y4

scoundrel [369]

Answer:

(625 • (x4)) - 28y4

54x4 - 28y4 3.1 Factoring: 625x4-256y4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 625 is the square of 25

Check : 256 is the square of 16

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (25x2 + 16y2) • (25x2 - 16y2) 3.2 Factoring: 25x2 - 16y2

Check : 25 is the square of 5

Check : 16 is the square of 4

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (5x + 4y) • (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

5 0

3 years ago

In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 658 grams of copper. How many gra

Natasha_Volkova [10]

Answer:

hehehehehheh

Step-by-step explanation:

Shiny roachnoises :P

5 0

2 years ago

Tom is 45 and pays $2042 on his mortgage each month while his total take home pay is $5950 per month. The national average, for

Scrat [10]

Take the amount that he pays for his mortgage, so $2042, and divide that by his total pay, $5950. You’ll get .34016907. Then to make a decimal into a percentage, you multiply it by 100. This gives you 34%, meaning he spends less than the national average on housing.

6 0

3 years ago

Help needed with these for problems

Tatiana [17]

I can't read the first one and I also don't know

4 0

2 years ago