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Veronika [31]
3 years ago
13

Given: a ∥ b and ∠1 ≅ ∠3

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Answer:

∠1 ≅ ∠2

Step-by-step explanation:

As shown in the figure:

We need to prove e ∥ f using the congruent angle.

So, check the options:

A) ∠2 ≅ ∠4 ⇒ (Wrong)

B) ∠1 ≅ ∠2 ⇒ (True) because a ∥ b (Given)

C) ∠2 ≅ ∠3 ⇒ It is required to prove that to prove e ∥ f , it can't be used.

D) ∠1 ≅ ∠4 ⇒  (Wrong)

The complete sentence will be:

We see that ∠1 ≅ ∠2 by the alternate exterior angles theorem.

Therefore, angle 2 is congruent to angle 3 by the transitive property.

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(2x-10)(x+3)<br> Simplify each expression
irga5000 [103]
2x^2-4x-30 would be your answer

<span><span>(<span><span>2x</span>−10</span>)</span><span>(<span>x+3</span>)
</span></span><span>=<span><span>(<span><span>2x</span>+<span>−10</span></span>)</span><span>(<span>x+3</span>)
</span></span></span><span>=<span><span><span><span><span>(<span>2x</span>)</span><span>(x)</span></span>+<span><span>(<span>2x</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−10</span>)</span><span>(x)</span></span></span>+<span><span>(<span>−10</span>)</span><span>(3)
</span></span></span></span><span>=<span><span><span><span>2<span>x2</span></span>+<span>6x</span></span>−<span>10x</span></span>−30
</span></span><span>=<span><span><span>2<span>x2</span></span>−<span>4x</span></span>−<span>30</span></span></span>
5 0
4 years ago
Read 2 more answers
The class collected 3,591 bottle caps in 57 days. The same number of bottle caps were collected each day. How many bottle caps d
ANTONII [103]
The answer is 63 bottle caps.
3,591 divided by 57 is 63
8 0
3 years ago
Find two consecutive whole numbers that<br> 19 lies between
sertanlavr [38]

Answer:

I don't believe that this is possible unless the answer you are looking for is 18, 20.

Step-by-step explanation:

The meaning of cosecutive whole numbers is a whole number followed directly after another. 14, 16, 18 are not consecutive though they are each spaced from each other by 2.

6 0
4 years ago
Dirk opened up a savings account with $600. At a yearly interest rate of 5 percent that is compounded monthly, how much interest
gladu [14]

Answer:

Hence final answer is $15.17

Step-by-step explanation:

Given that Dirk opened up a savings account with $600.

So P=$600

"At a yearly interest rate of 5 percent"

Means r=5% = 0.05

"compounded monthly" means n=12

i= monthly rate of interest = r/n=0.05/12

"how much interest will Dirk earn in six months." means find Interest when time is 6 months


Plug these values into compound interest formula:

A=P\left(1+i\right)^t

A=600\left(1+\frac{0.05}{12}\right)^6

A=600\left(1+0.00417\right)^6

A=600\left(1.00417\right)^6

A=600\left(1.02528228828\right)

A=615.169372966

which is approx

A=615.17

Now interest earned will be difference of A and P

Interest =A-P=615.17-600=$15.17

Hence final answer is $15.17

6 0
3 years ago
Using a calculator to divide 200 by 12, you obtain a result of 16.6666667.
Deffense [45]
A- How much does each person pay when 12 people share a meal costing $200
7 0
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