How do you find x is angle 1 is 2x-8 and angle 3 is 116

Sort the property that characterizes either a trapezoid or a kite

balu736 [363]

Trapezoid:

•Can have congruent diagonals. •Has one pair of opposite, parallel sides.

Kites:

•Has congruent adjacent sides.

•Has perpendicular diagonals.

4 0

3 years ago

Read 2 more answers

In the square below, the two semi-circles are congruent. Find the area of the shaded region. If necessary, round your answer to

Jobisdone [24]

Let's start with the area of the square
$area \: square = s \times s = 8 \times 8 = 64$
now let's subtract the are of the two half circles.
two half circles are the same as one circle, and we know that the diameter of the circle is 8 (same as the side of a square) so it's radius is 8/2= 4 inches

$area \: circle = \pi {r}^{2} = \pi \times {4}^{2} = 16\pi$
now we just subtract and our answer is

$64 - 16\pi = 64 - 16 \times (3.14) = 13.73$

3 0

4 years ago

A food bank has 3,600 boxes of food. the boxes will be loaded equally onto 60 trucks. how many boxes of food will be on each tru

ad-work [718]

3600 boxes divided by 60 trucks = 60 boxes per truck.

4 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through (-19, -33) and (47, 5)

Vera_Pavlovna [14]

Hello there! Slope is rise/run. The formula for finding slope is y2 - y1 / x2 - x1, where you subtract the first x and y-coordinates from the second x and y-coordinates. In other words, the order that the coordinates show up for this problem will be used in that order. For this case, here are the numbers that will be used for each.

y2: 5
y1 : -33
x2: 47
x1: -19

Let's plug it in to get 5 - (-33) / 47 - (-19). Now, let's subtract. Just by looking at the numbers, we will actually be adding the numbers, because when you add a negative number, you actually add. So 5 + 33 is 38. 47 + 19 is 66. 38/66 is 19/33 in simplest form. There. The slope of the line is 19/33.

8 0

3 years ago

Determine if the two lines are parallel, perpendicular, or neither. Show the work used to get your answer

vichka [17]

Answer:

Perpendicular

Step-by-step explanation:

[1] We need to find the slopes of both lines! First, we will put them into standard form and then solve.

Standard form: y=mx+b

(1) 10x + 2y = 4

(subtract 10x from both sides)

2y = -10x + 4

(divide both sides by 2)

y = 5x+2

The slope is 5

(2) 5y - x = -5

(add x to both sides)

5y = x - 5

(divide both sides by 5)

y = $\frac{1}{5}$ x - 1

The slope is one-fifth

[2] Then, we need to determine if they are parallel, perpendicluar, or neither.

- If they are parallel they will have the same slope

- If they are perpendicular they will have exact opposite slopes

() Line 1 has a slope of 5 and line two has a slope of one-fifth. These are exact opposites so the lines are perpendicular.

(I hope this is correct and helped, have a nice day!)

3 0

3 years ago