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Marta_Voda [28]
3 years ago
8

1. Find the length a of the altitude drawn to the hypotenuse. [Triangle is not drawn to scale.]

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

Answer:

C.

Step-by-step explanation:

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What is the measure of ZA?<br> 100"<br> A. 30<br> B. 50°<br> C. 70°<br> D. 130°
dmitriy555 [2]
Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50
8 0
3 years ago
An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0
3 years ago
The question has to do with finding the proven with the given and I’m not sure what to do
Oduvanchick [21]

Using the two parallel line theorems we proved that ∠8 ≅ ∠4.

In the given question,

Given: f || g

Prove: ∠8 ≅ ∠4

We using given diagram in proving that ∠8 ≅ ∠4

Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So

∠8≅∠6

Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."

∠6≅∠4

Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."

∠8 ≅ ∠4

Hence, we proved that ∠8 ≅ ∠4.

To learn more about parallel line theorems link is here

brainly.com/question/27033529

#SPJ1

7 0
2 years ago
Read 2 more answers
Drag the names to match the geometric terms as shown in the diagram.
mamaluj [8]

Just so you know, there's no diagram

6 0
3 years ago
During the financial crisis of 2008, the price of a barrel of Brent crude oil fell from a high of $140 per barrel to around $50
andriy [413]

Answer: 35.7%

Step-by-step explanation:

140$ / 100% = 1.4$ per 1%

Next 50$ / 1.4% = 35.71

Round 35.71 to closest tenth so it would be 35.7

3 0
3 years ago
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