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3 years ago

(78-x)+36+(3x-10)= 180 What is x

2 answers:

7 0

$(78-x)+36+(3x-10)= 180\\\\78-x+36+3x-10= 180\\\\3x-x+78+36-10=180\\\\2x+104=180\qquad|-104\\\\2x+104-104=180-104\\\\2x=76\qquad|:2\\\\\boxed{x=38}$

Mrac [35]3 years ago

5 0

78+-x+36+3x+-10=180

2x+78+36+-10=180

2x+104=180

2x=76

x=38

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Find the product of all integers between −11 and 13.

den301095 [7]

Answer:

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

Step-by-step explanation:

12 and 13 are exempt because the opposite is -11 is 11, and all others above -11 and below 11 are the integers.

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3 years ago

Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true? This triangle e

OLga [1]

Answer:This triangle does not exist because the sum of 4 and 12 is less than 17.

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3 years ago

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In the diagram, AE = 2AC and ∠BAC ≅ ∠DAE. What additional information is necessary to prove that ΔABC is similar to ΔADE, using

ss7ja [257]

Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...

... AD = 2AB

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3 years ago

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Divide 49p in the ratio of 4:2:1

frozen [14]

4+2+1=7

49p/7=7p

4units:2units:1unit

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1 times 7p=7p

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28p:14p:7p

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3 years ago

What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?

Art [367]

Answer:

The volume of hemisphere is 19.4 cubic meter.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

$Radius\ (r) = 2.1 m.$

So, we put formula to get the volume of hemisphere:

$Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.$

Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.

Therefore, the volume of hemisphere is 19.4 cubic meter.

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3 years ago