MATHEMATICS COLLEGE

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle?

A.
25°

B.
55°

C.
85°

D.
125°

Answers

Answer 1
Answer: a quadrilateral measures 360°. let's let "x" stand for the fourth angle
360°= 60°+95°+150°+x
360=305+x
360-305=x
x=55

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3 3/4 divided by 5/7

Answers

The answer is in the image below and the steps are also in one of the images too.

Hope this helps! :)

28Here are two rectangles.
Р
e
B
D
S
R
QR = 20 cm
BC = PQ
The perimeter of ABCD is 52 cm
The area of PQRS is 90 cm?
Find the length of AB.

Answers

9514 1404 393

Answer:

  21.5 cm

Step-by-step explanation:

Consider rectangle PQRS. Its area is ...

  A = LW

  90 cm² = PQ×QR = PQ×(20 cm)

  (90 cm²)/(20 cm) = PQ = 4.5 cm . . . . . . BC has this value, too

__

Consider the perimeter of ABCD. It is given by ...

  P = 2(L +W)

  52 cm = 2(AB +BC) . . . . substitute known value for P

  26 cm = AB +4.5 cm . . . . use known value for BC, divide by 2

  21.5 cm = AB

Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5

Answers

Answer:

2(2)/(5)

Step-by-step explanation:

Whole numbers can be seen as the number over 1. So, 3 can also be written as (3)/(1). To do (3)/(1) x (4)/(5) you just multiply across (3x4 and 1x5). Doing so gets you (12)/(5). Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction (12)/(5), since 2x5 is just 10. You write the remaining 2 as (2)/(5), because that's what the original denominator was. The final answer is 2(2)/(5).

What’s the correct answer for this?

Answers

A(-3,5) to B(8,1)

That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.

d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146

d = √146 = 12.083045973594572

Answer: 12.1

Find the perimeter of this quarter circle with radius, r
= 2mm.
Give your answer as an expression in terms of
π
.

Answers

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

4/7 in simplest form

Answers

Answer:

4/7

Step-by-step explanation:

it is a propper fraction can not be simplified

Answer:

Step-by-step explanation:

4/7 is in simplest form
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