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Ivahew [28]
3 years ago
13

If ABC and EDC are similar, what is the value of x? A

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

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What is the correct way to write 9 x 9 x 9 in exponential form?
Harlamova29_29 [7]

Hey!

----------------------------------------------

Solution:

Put all the answer choices into expanded form.

3^9 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

1^8 = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1

9^3 = 9 x 9 x 9

8^1 = 8

----------------------------------------------

Answer:

We can see that the only way to write to write 9 x 9 x 9 in exponential form is c) 9^3

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Hope This Helped! Good Luck!

5 0
3 years ago
Read 2 more answers
Given that <br> y<br> = 10 cm and <br> θ<br> = 55°, work out <br> x<br> rounded to 1 DP.
ElenaW [278]

Answer:

x=8.2

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (55) =opposite/hypotenuse

sin (55) =x/10

multiply both sides by 10 to get 10 * sin (55) = x

10 * sin (55) = 8.2

5 0
2 years ago
Find the slope of (0, 4), (− 5, 2)
vredina [299]

Answer:

⅖ is the slope

Step-by-step explanation:

To find slope:

\frac{ {y}^{2} -  {y}^{1}  }{ {x}^{2} -  {x}^{1}  }

\frac{2 -4}{ - 5 - 0}

\frac{ - 2}{ - 5}

\frac{2}{5}

7 0
3 years ago
Simplified form please help thank you
Agata [3.3K]

\dfrac{5^2}{2^{-2}}=5^2\cdot2^2=(5\cdot2)^2=10^2=100

7 0
3 years ago
How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm Group of answer choices
aleksley [76]

Answer:

24 square centimeters

Step-by-step explanation:

How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm

We are to find the area of the triangle

Area of the Triangle = 1/2 × Base × Height

= 1/2 × 4 × 12

= 24 square centimeters.

Therefore, the triangle will cover a space of 24 square centimeters.

3 0
3 years ago
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