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2 years ago

In the figure below, ∠t= 133° . Find the measures of all remaining angle.

Mathematics

1 answer:

barxatty [35]2 years ago

5 0

t is vertical to s because they share a point and are directly across from each other. vertical angles are congruent. therefore s=113 degrees

t and p are corresponding angles, which means they are congruent. this means p is also 113 degrees.

s and o are corresponding angles, so o is also 113 degrees.

t and u are supplementary. they share a straight line, so they add up to 180. you can find u by subtracting 113 from 180. 180-113= 67, so u is 67 degrees.

u and r are vertical angles, so r is 67 degrees.

r and m are corresponding, as well as u and q. therefore m and q both equal 67 degrees.

hope this helped :)

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Using the given points and line, determine the slope (0,32) and (100,212)

suter [353]

To solve for the slope given two lines, use the formula:

(y₂ - y₁)
----------
(x₂ - x₁)

Set one of the points as (x₁, y₁), and the other as (x₂, y₂).

(x₁, y₁) = (0,32)
(x₂, y₂) = (100,212)

plug into corresponding places:

(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)

180/100 is your slope

If you want simplified, it will be: 9/5

hope this helps

5 0

3 years ago

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

juin [17]

Answer:

A. $PR = 80.6 yd$

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

$PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}$

$PR = \sqrt{(70)^2 + (-40)^2}$

$PR = \sqrt{4,900 + 1,600}$

$PR = \sqrt{6,500}$

$PR = 80.6 yd$ (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0

3 years ago

Solve for x: x - 9 = 15 A. 6 B. 24 C. -24 D. -6

Oduvanchick [21]

Answer:

X = 24

Step-by-step explanation:

Add 9 To Both Sides

X - 9 + 9 = 15 + 9

Simplify

X = 24

Best Of Luck,

- I.A. -

4 0

3 years ago

Read 2 more answers

Pat’s Potato Farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegetable stand. The owner of the vegetabl

madam [21]

Answer:

Step-by-step explanation:

I first multiplied 490 by 3/7

giving me 1470/7

I divide 1470 by 7 giving me 210

As I got 210

I multiplied 210 with 2 and got 410/3

I divided 410 by 3, getting 140.

It then said half of what was delivered was put into 5 pound bags, so

140× 1/2 or 140÷2 is 70

70 divided by 5 is 14

They made 14 5-pound bags.

3 0

3 years ago

Kaylin buys a greeting card for $3.79. she then buys 4 postcards that all cost the same amount. the total cost is $5.11. how muc

Pie

Answer:

Step-by-step explanation:

Givens

Greeting Card = 3.79

Total Cost = 5.11

Post cards = x

Equation

Total Cost = Greeting Card + 4x

Solution

Substitute the gives into the equation

5.11 = 3.79 + 4x Subtract 3.79 from both sides

5.11 - 3.79 = 3.79 - 3.79 + 4x Combine

1.32 = 4x Divide by 4

1.32/4 = 4x/4

x = 33

Each post card costs 0.33 dollars

4 0

2 years ago