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andreev551 [17]

3 years ago

15

We want the ratio of orange seashells to pink seashells to be 3:7 we should use 40 seashells how many orange seashells should we

paint

1 answer:

MrMuchimi3 years ago

8 0

12 orange seashells should be painted

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Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

enyata [817]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$

$30=\frac{AD+17}{2}$

$60=AD+17$

$43=AD$

Draw perpendiculars on AD from B and C. Let angle A be θ. D

$AD=AE+EF+FD$

Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC

$AD=AE+EF+AE$

$43=2(AE)+17$

$26=2(AE)$

$13=AE$

$\cos\theta=\frac{base}{hypotenuse}$

$\cos\theta=\frac{AE}{AB}$

$\cos\theta=\frac{13}{26}$

$\cos\theta=\frac{1}{2}$

$\theta=\cos^{-1}\frac{1}{2}$

$\theta=60$

Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.

$\angle A=\angle D=60^{\circ}$

The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.

$\angle A+\angle B=180^{\circ}$

$60^{\circ}+\angle B=180^{\circ}$

$\angle B=120^{\circ}$

$\angle B=\angle C=120^{\circ}$

Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

3 0

3 years ago

The length of a park is 2/5 miles and the area is 9/10 square miles. What is the width of the park?

OverLord2011 [107]

To find the width, divide the area by the length.

Width = 9/10 / 2/5

When dividing fractions flip the second one over and multiply:

Width = 9/10 x 5/2 = (9 x5) / (10 x 2) = 45/20 = 2 and 1/4 miles.

3 0

3 years ago

a bag contains 14 red tiles, 20 blue tiles, and 16 green tiles, a tile is randomly drawn from the bag. if this is done 40 times

ololo11 [35]

Total=14+20+16=50
P(blue)=20/50=2/5

so, answer=(2/5)*40=16

7 0

3 years ago

Read 2 more answers

Jake tossed a paper cup 50 times and recorded how it landed. the table shows the results:

Darya [45]

The experimental probability of each event is as follows:

Landing open side up = 1/50 = 0.02 = 2%.
Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
Landing on its side = 44/50 = 0.88 = 88%.

The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.

In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:

Open-sided up: 1

Closed side up 5

On the side: 44.

We are asked to determine the experimental probability of each outcome.

The number of outcomes, when the landing is open-sided up is 1.

The number of outcomes, when the landing is closed-sided up is 5.

The number of outcomes, when the landing is on the side up is 44.

The total number of times the experiment took place is 50.

Thus, the experimental probability of each event is as follows:

Landing open side up = 1/50 = 0.02 = 2%.
Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
Landing on its side = 44/50 = 0.88 = 88%.

Learn more about the experimental probability at

brainly.com/question/24298250

#SPJ4

5 0

2 years ago

Calculate 6.75 tax on 23.05

Ksenya-84 [330]

The answer is 12dollas

3 0

3 years ago