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jarptica [38.1K]

3 years ago

7

A flag pole broke in a storm. 7 meters are still sticking straight out of the ground, where it snapped, but the remaining piece

has hinged over and touches the gronud at a point 24 meters away horizontally. How tall was the flag pole before it broke

1 answer:

Ivan3 years ago

7 0

32 meters tall.
I've seen this one before

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Jamal buys a strip of 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is each stamp?

Verizon [17]

Rewrite the length as an improper fraction.

21 7/8 = 175/8

Write the quantity of stamps as a fraction: 25/1

Divide length by number of stamps:

175/8 / 25/1

When dividing by a fraction change the sign to multiplication and flip the second fraction over:

175/8 x 1/25.

Now multiply numerators and then denominators:

(175 x1) / (8x 25) = 175/200

Simplify to 7/8

Each stamp is 7/8 inches long

6 0

3 years ago

In the figure, mZRPZ = 95 and TU ||RQ|| VW. Find the measure of angle YSV.

madreJ [45]

Answer:

$m\angle YSV=85^o$

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the measure of angle QPZ

we kno that

$m\angle RPZ+m\angle QPZ=180^o$ ---> by supplementary angles (form a linear pair)

we have

$m\angle RPZ=95^o$ ---> given value

substitute

$95^o+m\angle QPZ=180^o$

$m\angle QPZ=180^o-95^o$

$m\angle QPZ=85^o$

step 2

Find the measure of angle YSV

we know that

When two lines are crossed by another line, <em><u>Alternate Exterior Angles</u></em> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.

In this problem

The transversal is the line XY

The two parallel lines are RQ and VW

therefore

$m\angle YSV=m\angle QPZ$ ---> by alternate exterior angle

we have

$m\angle QPZ=85^o$

therefore

$m\angle YSV=85^o$

5 0

4 years ago

A group of people gathered to watch a baseball game. While talking, they realized that 12 of

rodikova [14]

Answer:

P(Boston Red Sox) = 2/5

Step-by-step explanation:

The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.

It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.

If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.

4 0

2 years ago

In a certain state, each automible license plate number consist of two letters followed by a four digit.How many disnict license

Yakvenalex [24]

Answer: (a) 6760000

(b) 5760000

Step-by-step explanation:

Total letters in English alphabet = 26

Total digits = 10

Given: Each automobile license plate number consists of two letters followed by a four-digit.

(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10

= 6760000

(b) if the letters O and I are not used, total letters can be used ]= 26-2=24

Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10

=5760000

3 0

3 years ago

Find the value of x in the isosceles triangle shown below.

guajiro [1.7K]

Answer:

B) $x = \sqrt{60}$

Step-by-step explanation:

1. As you can see from the image, there are two right triangles in the isosceles triangle. The base of each right triangle is 2 (because 4 ÷ 2 = 2), and the hypotenuse is 8.

2. Let's use Pythagorean Theorem to find the height of each right triangle, which will also give us the height of the isosceles triangle: $a^2 + b^2 = c^2$ , where a = height, b = base, and c= hypotenuse.

$a^2 + 2^2 = 8^2$
$a^2 + (2*2) = (8*8)$
$a^2 + 4 = 64$ (Simplify both sides of the equation)
$a^2 + 4 - 4 = 64 - 4$ (Subtract 4 from both sides)
$a^2 = 60$
$\sqrt{a^2} = \sqrt{60}$ (Take square root of both sides
$a = \sqrt{60}$

3. The√(60) is the height of each right triangle, and it's also the height of the isosceles triangle. Therefore, the answer is B) x = √60.

8 0

3 years ago