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lisov135 [29]
3 years ago
15

Which of the following is the solution to the equation 25(z + 2) = 125?

Mathematics
2 answers:
nordsb [41]3 years ago
7 0

25(z + 2) = 125

apply distributive property

25z + 50 = 125

subtraction property of equality

25z = 75

division property of equality

z = 3

Answer is z = 3

I don't see any matching from the options.

Angelina_Jolie [31]3 years ago
3 0

25^{z+2}=125\\\\(5^2)^{z+2}=5^3\\\\5^{2(z+2)}=5^3\\\\2(z+2)=3\qquad|:2\\\\\\z+2=\dfrac{3}{2}\\\\\\z=\dfrac{3}{2}-2\\\\\\\boxed{z=-\frac{1}{2}=-0.5}

Answer D.

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Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?
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127 degrees

Step-by-step explanation:

540 degrees is what the interior of a pentagon should add up to. So you do 540-156-72-98-87=127. The measure of the final interior angle is 127 degrees.

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The endpoints of GH¯¯¯¯¯¯¯¯ are G(9,−6) and H(−1,8). Find the coordinates of the midpoint M. The coordinates of the midpoint M a
jok3333 [9.3K]

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( 4, 1 )

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3 0
3 years ago
Slove for P. 5/7=p+4/7
Sever21 [200]
p= 1/7
Alright, so first, you need to flip the equation.<span><span>It will turn into p+<span>4/7</span></span>=<span>5/7
Next, you want to get the variable by itself so you need to subtract 4/7 from both sides. 5/7-4/7=1/7
p=1/7</span></span>
5 0
3 years ago
An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is 
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
Circumference = 120π + 120 m = 497 m
Area = 3600π + 7200 m² = 1.851 x 10⁴ m²

Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
Circumference = 60π + 240 m, or 428.5 m
Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
Circumference = 120π + 120 m, or 497 m
Area = 3600π + 7500 m², or 1.851 x 10⁴ m²


3 0
4 years ago
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