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svp [43]
3 years ago
7

Find the equivalent expression using the same bases (96 x 53)^7

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0

Answer:

Step-by-step explanation:

We will use the following formula:

(a*b)^n = a^n * b^n

(96*53)^7= (96)^7* (53)^7

Hence the equivalent expression is:

(96)^7*(53)^7....

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54. The triangles in the diagram below are congruent.
Reika [66]

Answer:

Angle N should be 64

Step-by-step explanation:

A triangle adds up to 180. So triangle JKL already has 60 towards 180. Triangle ONM already has 56 towards 180. So you have to find the other value needed in order to make 180. 56+60= 116 so we need to find the other angle to make 180. To do so just subtract 180-116 and that gives tou the answer 64 so that would be Angle N

7 0
3 years ago
What is the answer of this equation ? 10x-6(2x+5)=20
Rudiy27

Answer:

Simplifying

x = -25

Step-by-step explanation:

Reorder the terms:

10x + -6(5 + 2x) = 20

10x + (5 * -6 + 2x * -6) = 20

10x + (-30 + -12x) = 20

Reorder the terms:

-30 + 10x + -12x = 20

Combine like terms: 10x + -12x = -2x

-30 + -2x = 20

Solving

-30 + -2x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + 30 + -2x = 20 + 30

Combine like terms: -30 + 30 = 0

0 + -2x = 20 + 30

-2x = 20 + 30

Combine like terms: 20 + 30 = 50

-2x = 50

Divide each side by '-2'.

x = -25

6 0
3 years ago
Preston can paint 375 square feet in 3 hours. At the same rate, how long would it take him to paint 812.5 square feet?
charle [14.2K]

Answer:

6.5 hours

Step-by-step explanation:

First try to find the rate he can paint per hour

375 ÷ 3 = 125 ft^2 per hour

Then try to find how long it should take it for him to paint 812.5 sq ft

812.5 ÷ 125 = 6.5 hours

6 0
3 years ago
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
faltersainse [42]

Answer:

D)  

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96.  It's on the line

B) x = 10, so that y = 12(10) = 120.  It's on the line

C) x = 15, so that y = 15(12) = 180.  It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206.  So, the point is not on the line.

8 0
3 years ago
If x = 10, y = 5, and z = 11, what is the sine ratio for g°?
salantis [7]

Answer:

\frac{10}{11}

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

sin(g^o)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(g^o)=\frac{x}{z}

sin(g^o)=\frac{10}{11}

8 0
3 years ago
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