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Tanzania [10]
3 years ago
15

Use the figure to find the length HJ. Assume △DEF ≅ △GHJ. *I GOT 30*

Mathematics
1 answer:
solniwko [45]3 years ago
5 0
Yes, HJ = 30 ft.

It tells us that triangle DEF = triangle GHJ.

By seeing this we know without looking at the triangles that EF is going to be the same as HJ because when they say a figure is the same as another and list the letters such as 'DEF' and 'GHJ' they will list them in the same order.

So

'DEF' = 'GHJ' we get:

'DE' = 'GH'

'EF' = 'HJ'

And we can do the last and first letters:

'FD' = 'JG'

And since we know 'EF' = 'HJ' and that they already told us 'EF' was 30, we know HJ will be 30.
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Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)- log7(x)=2
Misha Larkins [42]
To solve the give logarithm we proceed as follows;
log7(3x^3+x)-log7(x)=2
this can be written as:
log7[(3x^3+x)/(x)]=2

but;
log7(49)=2
thus;
log7(3x^3+x)/x=log7(49)
hence canceling log7 we get:
(3x^3+x)/x=49
This can be simplified further to get:
3x^2+1=49
3x^2=49-1
3x^2=48
x^2=48/3
x^2=16
getting the square root of both sides we get:
x=4
the answer is x=4
6 0
4 years ago
Read 2 more answers
¿Qué es un sistema de ecuaciones de 2x2? ¿Para qué sirve y cuáles son sus usos en el área científica?
Tanya [424]

Answer:

4

Step-by-step explanation:

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6 0
3 years ago
(7y <br> 3<br> −2y <br> 2<br> +5) + (4y <br> 3<br> −3y)
alexira [117]

Answer:

26 y + 5

Step-by-step explanation:

Simplify the following:

7 3 y + 4 3 y - 3 y - 2 2 y + 5

7×3 = 21:

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21 y + 4 3 y - 3 y + -4 y + 5

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21 y + 12 y - 3 y - 4 y + 5

Grouping like terms, 21 y + 12 y - 3 y - 4 y + 5 = (21 y - 4 y + 12 y - 3 y) + 5:

(21 y - 4 y + 12 y - 3 y) + 5

21 y - 4 y + 12 y - 3 y = 26 y:

Answer: 26 y + 5

8 0
2 years ago
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olga nikolaevna [1]
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7 0
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8) What is the y-intercept of the parabola?
kaheart [24]

Answer:

y - intercept = 4

Step-by-step explanation:

I'm not completely sure but I believe this should be right.

8 0
3 years ago
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