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pshichka [43]
3 years ago
7

Given the figure below, find the values of x and z.

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
5 0

Answer:

z=98 and 5x+57 and z are supplementary.

Step-by-step explanation:

vertical angles theorem

telo118 [61]3 years ago
5 0

Answer:

X = 5. Z = 98

Step-by-step explanation:

180 minus 98 is 82

5x+57=82

5x=25

5÷25

x=5

and for Z, well 98 is vertical to Z so that's what that is

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The length of a rectangular plot of land is 10 yards more than its width if the area of the land is 600 yd.² find the dimensions
Andrews [41]

Answer:

The dimension of the plot is 30 yd by 20 yd

Step-by-step explanation:

Given;

Area = 600 yd^2

Length = width + 10

l = w + 10 ......1

Area of a rectangular plot is;

Area A = length × width

A = l × w

Substituting equation 1;

A = (w+10) × w

A = w^2 + 10w

600 = w^2 + 10w

w^2 +10w -600 = 0

Solving the quadratic equation;

w = -30 or 20

cannot be negative

w = 20 yd

l = w+10 = 20+10 = 30yd

The dimension of the plot is 30 yd by 20 yd

6 0
3 years ago
If f(x)=x^3-x, what is the average rate of change of f(x) over the interval [1,5]?
RSB [31]

Answer:

30

Step-by-step explanation:

Average rate of change=Δf(x)/Δx = [f(x2)-f(x1]/[x2-x1]

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f(5)=5³-5=120

f(1)=1³-1=0

Δf(x)/Δx = [120-0]/[5-1]=120/4=30

4 0
3 years ago
I need help with solving it
mars1129 [50]

The given equation has a slope of \frac{-9}{7}.  Parallel lines have the same slope.

Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the point and "m" is slope

y - y₁ = m(x - x₁)

y - (-4) = \frac{-9}{7}(x - 2)

y + 4 = \frac{-9}{7}x + \frac{18}{7}

<u>  - 4</u>     <u>       - \frac{28}{7}</u>

   y = \frac{-9}{7}x - <u>\frac{10}{7}</u>


7 0
3 years ago
Can someone double check my answer please !!
Anuta_ua [19.1K]

Answer:

C

Step-by-step explanation:

gg

6 0
2 years ago
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A taxi service charges a flat rate for the first
Kazeer [188]

Answer:

The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.

Step-by-step explanation:

3 0
3 years ago
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