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2 years ago

In the diagram triangles ABE and ACD are similar.

Mathematics

1 answer:

jolli1 [7]2 years ago

3 0

Answer:

p = 7.2

q = 6.4

Step-by-step explanation:

if the triangles are similar then the side lengths must be proportional :

AC/BA = CD/BE

9/5 = p/4 cross multiply expressions

5p = 36 divide both sides by 5

p = 7.2

same goes for q

9/5 = (q+8)/8 cross multiply expressions

72 = 5(q+8) divide both sides by 5

14.4 = q+8 subtract 8 from both sides

6.4 = q

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Solve the inequality. 9 + 9(x + 7) >= 36 The solution is

Alchen [17]

Answer:

x≥ -4

Step-by-step explanation:

9 + 9(x + 7)≥ 36

Subtract 9 from each side

9 -9+ 9(x + 7) ≥ 36-9

9(x + 7) ≥ 27

Divide each side by 9

9/9(x + 7) ≥ 27/9

x+7≥ 3

Subtract 7 from each side

x+7-7 ≥ 3-7

x≥ -4

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2 years ago

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Answer:

900

Step-by-step explanation:

(n – 2)180 where n is the number of sides

since this is a 7 sided polygon

(7-2) * 180

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2 years ago

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jarptica [38.1K]

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2 years ago

A car rental agency advertised renting a car for $ 23.95 per day and $ 0.32 per mile. If Trevor rents this car for 3 days, how

AVprozaik [17]

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2 years ago

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This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T

victus00 [196]

Answer:

$P(A\ or\ B)=\frac{7}{9}$

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

$P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$

Since 6 students like pepperoni out of 9:

$P(A) = \frac{6}{9}$

Since 4 students like olive out of 9:

$P(B) = \frac{4}{9}$

Since 3 students like both toppings out of 9

$P(A\ and\ B) = \frac{3}{9}$

Then we have

$P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}$

$P(A\ or\ B)=\frac{7}{9}$

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2 years ago