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julsineya [31]
3 years ago
6

Is it possible for a right triangle with a leg that is 12 inches long and a hypotenuse that is 37 inches long to be congruent to

a right triangle with a leg that is 35 inches long and a hypotenuse that is 37 inches long? Complete the explanation.
Yes
. Let the remaining leg of the first triangle have a length of x inches. Then by the Pythagorean Theorem, x2 + 122 = 372. So, x2 + 144 = 1,369, x2 = 1,225, and x =
. Therefore, the hypotenuse and a leg of the first right triangle are congruent to the hypotenuse and a leg of the second right triangle, so the triangles
are
congruent by the HL Triangle Congruence Theorem.
Mathematics
1 answer:
Llana [10]3 years ago
7 0

9514 1404 393

Answer:

  x = 35

Step-by-step explanation:

It appears the only missing piece of the explanation is ...

  x² = 1225  ⇒  x = 35

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a computer expert can do a job on the computer in 6 hours. His secretary can do the same job in 7 hours. After the expert works
konstantin123 [22]

Answer:

4 + 2/3 hours

Step-by-step explanation:

For the expert,

6 hours = 1 job

For the secretary,

7 hours = 1 job

We want to figure out how much the expert gets done in 2 hours.

2 hours = x jobs for the expert.

To turn 6 hours = 1 job into this, we can multiply both sides of the equation by 2 (the number we want to get to) / 6 (the number we are at) to get

6 hours * 2/6 = 1 job * 2/6

2 hours = 2/6 jobs

Therefore, the expert does 2/6 of the job, and 1-2/6 = 4/6 of the job is left for the secretary. We want to figure out how long it takes for her to complete the job

We know

7 hours = 1 job

and want to figure out

y hours = 4/6 jobs

We can multiply both sides of the original equation by (4/7) (the number we want to get to) / 1 (the number we are at) to get

7 hours * 4/6 = 1 job * 4/6

28 /6 hours = 4/6 jobs

= 4 + 4/6 hours

= 4 + 2/3 hours

8 0
3 years ago
✓
BaLLatris [955]

Answer:

(3x + 12) + (2x - 38) + (x + 10) = 180 \degree \\ 6x - 16 = 180 \\ 6x = 196 \\ x = 32.6 \\(3x + 12)  : =  > 110 \degree \\ (2x - 38) :  =  > 27.3 \degree \\ (x + 10) :  =  > 42.6 \degree

3 0
3 years ago
Find the 30th term of the geometric sequence 100, 80, 64,...
Zinaida [17]

Answer:

0.155

Step-by-step explanation:

nth term of a geometric sequence = ar^n-1

Where,

a = first term

r = common ratio

n = number of terms

Given:

100, 80, 64,...

a = 100

r= 80/100

= 4/5

30th term of a geometric sequence = ar^30-1

= ar^29

= 100 × (4/5)^29

= 100 × (0.8)^29

= 100 × 0.00155

= 0.155

Therefore,

30th term of the geometric progression = 0.155

5 0
4 years ago
Which correct classification for the triangles 63
frozen [14]

Answer:

I'll edit the answer when you give me a input. Doing this to save a spot for answering.

Step-by-step explanation:


6 0
4 years ago
Here are two ways of paying for delivery from an online supermarket.
Andreas93 [3]

Answer:

Option B will be cheaper.

Step-by-step explanation:

Option A:

1.99*80=159.20

Option B:

5.99*24=143.76

*you get 24 becasue there are 24 months in 2 years.

6 0
3 years ago
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