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Sunny_sXe [5.5K]
2 years ago
10

Given the similar triangles shown in the diagram below :

Mathematics
2 answers:
Nesterboy [21]2 years ago
6 0

Answer:

a.) (x-3)(x-3) = 25 + (x-4)(x-4)

x^2 - 6x + 9 = 25 + x^2 - 8x + 16

-6x + 9 = -8x + 41

2x + 9 = 41

2x = 32

x = 16

b.) 16 - 4 = 12

AB = 12

c.) 16 - 3 = 13

AC = 13

[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]

Elden [556K]2 years ago
3 0
B is the correct answer
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Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T
alexandr402 [8]

Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

Prob for getting same sum 4 in 3 rolls = (\frac{1}{12} )^3

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= 3C2 (1/12)^2 (11/12)=\frac{33}{12^3}

5 0
2 years ago
Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pound
Ratling [72]

Answer: A. Cost per egg = $4 .

B. Cost per pound = $ 2.5

C. Cost per roll = $ 0.5

D. Cost per apple = $0.35

Step-by-step explanation:

Formula: cost per item = (total cost) ÷ (number of items)

A. 12 eggs for $3.

Cost per egg = $ (12÷3) = $4

So, Cost per egg = $4 .

B. 3 pounds of peanuts for $7.50

Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5

So, Cost per pound = $ 2.5

C. 4 rolls of toilet paper for $2.

Cost per roll = $ (2 ÷4 ) = $ 0.5

So, Cost per roll = $ 0.5

D.  10 apples for $3.50.

Cost per apple = $ (3.50 ÷ 10)= $ 0.35

So,  Cost per apple = $0.35

4 0
3 years ago
3x-x-5=2(x+2) -9<br> please help
irga5000 [103]

Answer:

infinite solutions

Step-by-step explanation:

Simplify 3x-x-53x−x−5 to 2x-52x−5.

2x-5=2(x+2)-92x−5=2(x+2)−9

2 Expand.

2x-5=2x+4-92x−5=2x+4−9

3 Simplify 2x+4-92x+4−9 to 2x-52x−5.

2x-5=2x-52x−5=2x−5

4 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

6 0
3 years ago
Read 2 more answers
Please help!!! Thank you!!!
Reptile [31]
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.

First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2

Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.

When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.

117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.

Hope this helps!
8 0
2 years ago
a girl has to be at school at 8:00 am it takes her 20 minutes to eat, 35 minutes to get dressed and 15 minutes to get dressed wh
mixer [17]
First find the sum of the amount of time it takes her to be finished

20 + 35 + 15 =
35 + 35 = 70

Keep in mind a hour is 60 minutes

1:10 minutes before 8:00

She should get up at 6:50am

4 0
2 years ago
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