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3 years ago

Find the missing side in the similar figures below

Mathematics

1 answer:

Lerok [7]3 years ago

5 0

Answer:

a. 28.8

Step-by-step explanation:

Using the theorem of similarity, the following equation can be generated:

$\frac{x}{12} = \frac{25 + 35}{25}$

Solve for x

$\frac{x}{12} = \frac{60}{25}$

Cross multiply

$x*25 = 60*12$

$25x = 720$

Divide both sides by 25

x = 28.8

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n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi

Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0

3 years ago

The price of 5 kg of rice is ₹83.75. How many kilograms of rice can you buy for ₹670?

enot [183]

Answer:

40 kg

Step-by-step explanation:

$\frac{5}{83.75} :\frac{y}{670}$

y · 83.75 = 5 · 670

83.75y = 3350

83.75y ÷ 83.75 = 3350 ÷ 83.75

y = 40

4 0

3 years ago

100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

ivolga24 [154]

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

$\frac{1}{2}$ × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = $\frac{30x+150}{3x+15}$ ← factor numerator and denominator

= $\frac{30(x + 5)}{3(x+5)}$ ← cancel the factor (x + 5) on numerator/denominator

= $\frac{30}{3}$

= 10

7 0

3 years ago

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I am a solid figure with faces that are polygons.

e-lub [12.9K]

Hey There!

A solid figure with polygon faces is called the <span>Polyhedron.

Have A Brainly Day :)

</span>

6 0

4 years ago

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Which sequence of similar transformations could map △ABC onto △A'B'C'?

nadya68 [22]

Answer: A sequence of similar transformations of dilation and translation could map △ABC onto △A'B'C'.

Step-by-step explanation:

Similar transformations: If one figure can be mapped onto the other figure using a dilation and a congruent rigid transformation or a rigid transformation followed by dilation then the two figures are said to be similar.

In the attachment △ABC mapped onto △A'B'C' by a sequence of dilation from origin and scalar factor k followed by translation.

7 0

3 years ago

Read 2 more answers