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3 years ago

Which triangles are congruent? 30° 110° A 30° 45° B 110° 40 C С

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

It would be triangles A & C

Step-by-step explanation:

This is because all of the angles within triangle add up to 180, with this, you can do the following to find the missing sides:

Tri A:

180-110-30 = 40

Tri B:

180-45-30 = 105

Tri C:

180-110-40 = 30

When you do this, look at the angles of the triangles. You see that Triangle A with the angles 110, 30, and 40 all match with those seen in Triangle C.

Therefore, the two triangles are congruent.

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Prove that: 5^31–5^29 is divisible by 100.

ANEK [815]

Answer:

See explanation

Step-by-step explanation:

Consider the expression

$5^{31}-5^{29}$

First, factor it:

$5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}$

Note that

$100=25\cdot 4$

Then

$5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}$

This shows that number 100 is a factor of the expression $5^{31}-5^{29}$ and, therefore, this expression is divisible by 100.

5 0

3 years ago

if the sales tax rate is 7.25% in california, then how much would you pay in los angeles for a pair of shoes that cost $39.00

Anna [14]

It would come out to be $41.8275, so if you round it would cost $41.83.

4 0

4 years ago

you have two nickels three dimes and a quarter using at least one of each coin, how many different amounts of money can you make

alexgriva [62]

5 different amount
3d 2n 1q=65cents
1d 1n 1q=40cents
2d 2n 1q=55cents
1d 2n 1g=45cents
3d 1n 1q=60cents

8 0

3 years ago

One factor of this polynomial is (2x - 1). Use long division to determine which expression represents the other factor. 2x³+ 5x²

rusak2 [61]

-> 3rd answer is correct

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2 years ago

Does the point (-5, 3) satisfy the equation y = x − 8?

o-na [289]

No. This is because you can plug it in and see if it is true. Meaning...
3=-5-8
3=-13
3 is not equal to -13. Therefore the point does not satisfy the equation

6 0

4 years ago

Which triangles are congruent? 30° 110° A 30° 45° B 110° 40 C С​

Which triangles are congruent? 30° 110° A 30° 45° B 110° 40 C С