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STALIN [3.7K]
1 year ago
11

] Complete the explanation of how you know whether the triangles are similar. If possible, find the Indicated length. A P 2.0 1.

7 B B Q 1.2 C С R Because two pairs of angles are congruent, the triangles are similar by the SSS Triangle Similarity Theorem QR =

Mathematics
1 answer:
disa [49]1 year ago
5 0

1. The two triangles are similar because the two pairs of angles are equal, therefore the third angles of both triangles must also be equal.

We can call this the AAA similarity criterion

2. To find QR, we must use ratios between 2 known similar sides of both triangles,

\frac{2.0}{1.7}=\frac{1.2}{QR}\text{  , QR=}\frac{1.2\times1.7}{2.0}=\text{ 1.02}

So, QR =1.02

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A) A club is considering changing its bylaws. In an initial straw vote on the issue, 24 of the 40 members of the club favored th
lora16 [44]

Answer:

38,38,380

Step-by-step explanation:

GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, 24 of the 40 members of the club favored the change and 16 did not. A committee of six is to be chosen from the 40 club members to devote further study to the issue.

TO FIND: How many committees of six can be formed from the club membership.

SOLUTION:

Total number of members =40

Total members to be chosen =6

To select committee of 6 members from 40 =^{40}C_6

                                                                       =\frac{40!}{34!6!}

                                                                      =38,38,380

Hence 38,38,380 different committee can be formed.

7 0
3 years ago
Solve x2 = 12x - 15 by completing the square. Which is the solution set of the equation?
Novosadov [1.4K]

Answer:

(6-√21,  6+√21)

Step-by-step explanation:

x^2 - 12x = -15

(x - 6)^2 - 36 = -15

(x - 6)^2 = 21

x - 6 = ± √21

x = 6  ± √21

8 0
3 years ago
The Graf family made two pizzas. They ate 1 and 1/8 pizza before watching a movie, and 1/2 pizza more after the movie. What is a
Lorico [155]
6/8ths are left you have to cross multiply to get the answer
5 0
3 years ago
Read 2 more answers
Consider the y-intercepts of the functions. f(x)= 1/5 [x-15] g(x)= (x-2)^2 The y-coordinate of the greatest y-intercept is..
Molodets [167]

Answer:

4

Step-by-step explanation:

I used Desmos

4 0
3 years ago
Read 2 more answers
Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will
marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

C=2\pi r

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

C=2\pi (5)=10\pi\text{ feet}

The formula for the area of a circle is:

A=\pi r^2

Substitute 5 for r:

A=\pi (5)^2

Square and simplify:

A=25\pi \text{ square feet}

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

C=2\pi (6)

Multiply:

C=12\pi\text{ feet}

Substitute 6 for r for the area formula:

A=\pi(6)^2

Square and simplify:

A=36\pi\text{ square feet}

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0
3 years ago
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