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vichka [17]
3 years ago
9

Games at the carnival cost $2.50 each. The prizes awarded to winners cost $135.00. How many games must be played to make at leas

t $45?
Question 1 options:


71



71.5



72



72.5




I WILL GIVE BRAINLIST POINTS
Mathematics
1 answer:
Tanzania [10]3 years ago
6 0

Answer:

72

Step-by-step explanation:

I DIVIEDE 180 DIVIEDED BY $2.50=72

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A bench is located where the shadows casted by a 16 foot tall flagpole and 40-foot tall tree meet. If the bench is 18 feet from
saveliy_v [14]

Answer:

<em>The distance from the flagpole to the tree is 27 ft</em>

Step-by-step explanation:

<u>Similar Triangles</u>

Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.

Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

\displaystyle \frac{16}{18}=\frac{40}{x}

Where x is the distance from the bench to the tree.

Solving for x:

\displaystyle x=40\cdot \frac{18}{16}

x = 45 feet

Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet

4 0
2 years ago
The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y
lisov135 [29]

Answer:

-0.7

Step-by-step explanation:

x-y=0.7

You can choose any digits you wish for x and y but the difference must be 0.7. I chose 1.0 and 0.3.

x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7

3 0
3 years ago
Please Help ! Will give brainliest!
sveta [45]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

3 0
3 years ago
PLZ CHECK MY ANSWER. Round your answer to the nearest tenth.
Umnica [9.8K]

Answer:

D. 70.34 cm^2

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

area = \frac{56}{360}*3.14*12^2

area = 70.34

Area of the sector ABC = 70.34 cm^2

The answer is D

4 0
3 years ago
a rider sits on a motorcycle . the motorcyle has amass of 237 kilograms . the rider has a mass of 89 kilograms. what is the tota
Tanya [424]

THe rider and the motorcycle mass togther will be 326.


237+89=326


4 0
3 years ago
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