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Irina18 [472]
4 years ago
11

6 and 7? Geometry homework

Mathematics
1 answer:
Rashid [163]4 years ago
4 0

Answer:

Step-by-step explanation:

6) triangle ABC is similar to triangle DEC. It means that

AB/DE = BC/EC = AC/DC

Therefore,

6/21 = 10/y

Cross multiplying, it becomes

6y = 210

y = 210/6

y = 35

Also

6/21 = x/28

Cross multiplying, it becomes

6 × 28 = 21x

21x = 168

x = 168/21

x = 8

7) triangle JKL is similar to triangle NMP. It means that

JK/NM = KL/MP = JL/NP

Therefore,

49/14 = (9x + 1)/(x + 5)

Cross multiplying, it becomes

49(x + 5) = 14(9x + 1)

49x + 245 = 126x + 14

126x - 49x = 245 - 14

77x = 231

x = 231/77

x = 3

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Simplify the expression where possible.<br><br> (-5x2)^3
Paul [167]

Answer:

-1000

Step-by-step explanation:

1. Do the Parenthesis problem first. (PEDMAS/PEMDAS)

You should then have -10^3

2. Solve with the exponent. (-10 x 10 x 10)

You should then get your final answer, which is -1000.

Any Questions/Concerns?

6 0
3 years ago
What is the solution of the system?
Murrr4er [49]
The Answer is....
x=-3 and y=3
(-3,3)
5 0
3 years ago
May anyone help please
lapo4ka [179]

Depending on how flexibly you interpret "about 20 times larger" to mean, the answers are B and D.

Check the ratios of the larger number to the smaller number:

A: (2.01 x 10^7)/(4.25 x 10^6) = 2.01/4.25 x 10^1 = 20.1/4.25 = 4.729

B: (8.21 x 10^-3)/(4.13 x 10^-4) = 8.21/4.13 x 10^1 = 82.1/4.13 = 19.879

C: (4.91 x 10^6)/(5.09 x 10^3) = 4.91/5.09 x 10^3 = 4910/5.09 = 964.637

D: (5.97 x 10^4)/(3.12 x 10^3) = 5.97/3.12 x 10^1 = 59.7/3.12 = 19.135

4 0
3 years ago
Write the expression 44(4–7)(4) using a single exponent.
Ghella [55]
<h3>The given expression as single exponent is:</h3>

4^4 \times 4^{-7} \times 4 = 4^{-2}

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

4^4 \times 4^{-7} \times 4

In exponents,

When the base is same, exponents can be added

Which means,

a^m \times a^n = a^{m+n}

Therefore,

4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}

Thus the given expression as single exponent is:

4^4 \times 4^{-7} \times 4 = 4^{-2}

8 0
3 years ago
Read 2 more answers
-4 1/2 ÷ (-2 2/3)<br><br> I need it as a mixed number in simplified form.
Leya [2.2K]
(-4 1/2) / (-2 2/3) =.....turn to improper fractions
(- 9/2) / (-8/3) =...when dividing fractions, flip what u r dividing by, then multiply

-9/2 * -3/8 =
27/16 =
1 11/16 <==

4 0
3 years ago
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