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dybincka [34]
3 years ago
13

Find the perimeter of the parallelogram shown.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0
The answer is 26 yards because a parallelogram has two sets of congruent sides. The opposite sides are congruent. The both of the sides are 8 yd and the top and bottom side is 5 yd
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Solve x2+6x=7 by completing the square.Which is the solution set of the equation?
NARA [144]

Answer:

x = - 7, x = 1

Step-by-step explanation:

Given

x² + 6x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 7 + 9

(x + 3)² = 16 ( take the square root of both sides )

x + 3 = ± \sqrt{16} = ± 4 ( subtract 3 from both sides )

x = - 3 ± 4

x = - 3 - 4 = - 7

x = - 3 + 4 = 1

Solution set = { - 7, 1 }

4 0
3 years ago
A local gym has 2 types of cardio machines, treadmills and elliptical machines. There are 38 cardio machines in all. There are 1
Brilliant_brown [7]

Answer:

14 elliptical machines

Step-by-step explanation:

t = # of treadmills

e = # of elliptical machines

t + e = 38

t = e + 10

Substitute:

e + 10 + e = 38

2e = 28

e = 14

6 0
3 years ago
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
andriy [413]

Answer:

<h2>Yes, this is a right triangle.</h2>

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

Plugging the values,

{15}^{2}  =  {12}^{2}  +  {9}^{2}

Evaluate the power

225  = 144 + 81

Calculate the sum

225 = 225

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

4 0
2 years ago
Read 2 more answers
What fraction of each gallon of purple paint is red paint?
motikmotik

Answer:

4/7

Step-by-step explanation:

5 0
3 years ago
Construct a linear function, f(x), to model the ordered pairs (6, 2) and (7, −5). f(x) = 7x + 44 f(x) = x + 4 f(x) = −44x + 7 f(
Sonbull [250]

First we find the slope between the two given points.

m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7

Now we use the slope-intercept equation of a line.

y = mx + b

We use one point as x and y, and we solve for b.

2 = -7(6) + b

2 = -42 + b

b = 44

The equation is

y = -7x + 44

Answer: f(x) = -7x + 44

4 0
3 years ago
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