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makvit [3.9K]
3 years ago
6

Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

Mathematics
1 answer:
OLga [1]3 years ago
6 0
The image of the triangle and the corresponding lines is needed in order to answer this question properly. That image is attached.

We are told that point P is the incenter of the triangle, and is the center point of the incircle of the triangle. The incircle is the largest circle that can be made in a triangle and is tangent to each side of the triangle. The radius of the circle is going to be a perpendicular line from point P to any side of the triangle. In the triangle shown, PZ = PY = PX, and each value is equal to the radius of the circle.

Therefore, no further calculations are required for this problem since we already know that PZ = 7 units making the radius, r = 7 units.

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Mrs. Palmer asks her students to find the area of the tops of their desks.
xxTIMURxx [149]

Answer:

12 square feet

Step-by-step explanation:

The shape of the top of the desk is a trapezoid.

A = (b1 + b2)h/2

A = (5 ft + 3 ft)(3 ft)/2

A = (8 ft)(3 ft)/2

A = 24 ft^2/2

A = 12 ft^2

Answer: 12 square feet

7 0
3 years ago
PLEASE HELP ME ASAP!! I REALLY NEED HELP :((
solong [7]
Hello!

Question 1
The angles in a triangle add up to 180°

Subtract the known angles from 180 to get x

180 - 105 - 40 = 35

The answer is 35
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Question 2
The angles in a triangle add up to 180°

The box means that angles is 90°

Subtract the know angles from 180 to get x

180 - 65 - 90 = 25

The answer is 25
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Hope this helps!
8 0
3 years ago
Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sand
kotykmax [81]

Answer:

22 cookies

Step-by-step explanation:

A dozen items means 12 number of items.

Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container

= 2 \times 6 = 12

Number of cookies brought by Sally = A dozen cookies = 12

Number of cookies brought by Sandy = 2

Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26

Total number of cookies to be brought = 4 dozen = 48 cookies

Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together

48 - 26 = <em>22 cookies</em>

8 0
3 years ago
Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an i
pashok25 [27]

Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105

0.105 = 10.5% probability that an accident results in a death.

6 0
2 years ago
July average temperature: 78°F,January average temperature: 52°F What is the percentage difference?
ycow [4]
I’m guessing you subtract 78-52 then divide by original which was 52.. so July is 50% warmer.
6 0
2 years ago
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