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Alex_Xolod [135]
3 years ago
7

Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a

Mathematics
2 answers:
aliina [53]3 years ago
7 0

Answer:

Step-by-step explanation :

Ratio = 3x : 4x

<h3>Sum of angle of a quadrilateral = 360</h3><h3>Therefore, 140+80+3x+4x = 360</h3><h3>220+7x = 360</h3><h3>7x = 360-220</h3><h3>x= 140/7</h3><h3>x=20</h3><h3>3x= 3×20=60</h3><h3>4x=4×20=80</h3>
Ivenika [448]3 years ago
4 0

Answer:

60 and 80 degrees.

Step-by-step explanation:

The other 2 angles have the sum : 360 - (140 + 80)

= 360 - 220

= 140.   (because the 4 angles in a quadrilateral add up to 360).

As  the other 2 angles are in the ratio 3:4 one angle = 3/7 of 140 and the other is 4/7 of 140.

This is equal to 3 *20 and 4 * 20 = 60 and 80 degrees.

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marissa [1.9K]

Given:

Total number of cubes = 40

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Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

P(Red)=\dfrac{18+x}{40+x}

The probability now that she will take a red cube is 0.5. So,

\dfrac{18+x}{40+x}=0.5

18+x=0.5(40+x)

18+x=20+0.5x

x-0.5x=20-18

0.5x=2

Divide both sides by 0.5.

x=\dfrac{2}{0.5}

x=4

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

40+4=44

Probability of getting a yellow cube is:

P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}

P(Yellow)=\dfrac{9}{44}

Therefore, the required probability is P(Yellow)=\dfrac{9}{44}.

8 0
2 years ago
A certain bean plant grows 15% of its height each day today after 10 days the bean plant is 27 inches tall how tall was it yeste
frez [133]
Given:
15% of its height each day
27 inches on day 10.

How tall was it yesterday?

27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.

27 ÷ 115% = 23.48 inches.

The plant was 23.48 inches tall yesterday.

To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches

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3 years ago
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3 years ago
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Step-by-step explanation:

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Solve the following proportion for v. <br>8/5 = v/6 <br>Round your answer to the nearest tenth.​
bekas [8.4K]

Answer:

v=\frac{48}{5}=9\frac{3}{5} \\

Step-by-step explanation:

\frac{8}{5}=\frac{v}{6}

Swap sides:

\frac{v}{6}=\frac{8}{5}

Multiply to both sides by 6:

\frac{v}{6}\cdot6=\frac{8}{5}\cdot6

Group like terms:

\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6

Simplify the fraction:

v=\frac{8}{5}\cdot6

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Simplify the arithmetic:

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2 years ago
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