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N76 [4]
3 years ago
8

Two similar triangles are shown below:

Mathematics
2 answers:
lana [24]3 years ago
3 0
The answer is b. angles p and s; angles q and r

iVinArrow [24]3 years ago
3 0

Answer:

B) ∠p and ∠s; ∠q and ∠r

Step-by-step explanation:

We are given two similar triangles.

If the two triangles are similar, then the corresponding angles must be equal and sides are in proportion.

Therefore, the following set of angles are equal (from the given figures).

∠p ≅∠s

∠q ≅∠r

Therefore, the answer is B) ∠p and ∠s; ∠q and ∠r

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Choose what the expressions below best represent within the context of the word problem.
grin007 [14]

Answer:

The given expression "The sum of two consecutive odd integers equals 12." is written as 2x + 1 + 2x + 3 = 12  and numbers are 5 and 7

Step-by-step explanation:

 Given expression : The sum of two consecutive odd integers equals 12.

We have to write the given expression mathematically and solve.

Consider the given expression "The sum of two consecutive odd integers equals 12."

Consecutive odd integers are the odd integers having difference of two in between like 3, 5, 7 etc,

we know odd numbers are of the form of (2m+1)

Thus, let two consecutive odd integers be 2x+1 and 2x+3

Then given sum of  two consecutive odd integers  is 12

mathematically written as,

2x + 1 + 2x + 3 = 12

4x+ 4 = 12

x + 1 = 3

x = 2

Thus, consecutive odd integers are 2(2)+1 = 5

and 2(2) + 3 = 7

Thus, the given expression "The sum of two consecutive odd integers equals 12." is written as 2x + 1 + 2x + 3 = 12  and numbers are 5 and 7

8 0
4 years ago
Read 2 more answers
Jan buys packages of pens for $5 each. Identify the independent and dependent variables in the situation
AVprozaik [17]
Independent:
Amount of packages bought
Pens per package
$ per package

Dependent:
Total amount of $
4 0
3 years ago
Chris is working on a stained-glass project and needs to form a triangle with sides of 8, 12, and 15 inches out of lead cane to
Slav-nsk [51]

Answer:

The largest angle needed is 95.1^{o}.

Step-by-step explanation:

To determine the larges angle as required, let us apply the cosine rule.

c^{2} = a^{2} + b^{2} - 2ab Cos C

Since in triangles, the longest side is opposite to the largest angle, then;

15^{2} = 8^{2} + 12^{2} - 2(8 x 12) Cos θ

225 = 64 + 144 - 192 Cos θ

225 = 208 - 192 Cos θ

192 Cos θ = 208 -225

192 Cos θ = -17

Cos θ = \frac{-17}{192}

Cos θ = -0.08854

θ = Cos^{-1} -0.08854

  = 95.07962

θ = 95.1^{o}

The largest angle needed is 95.1^{o}.

3 0
3 years ago
Very important question please solve it;(​
matrenka [14]

Answer:

we know that 120 liked both places and 200 liked Pokhara. To find the number of students that only liked Pokhara 200-120=80 students

we know that 120 liked both places and 220 liked Chitwan. To find the number of students that only liked Chitwan 220-120=100 students

to find number of students that liked neither of places:

add

80+120+100=300. Subtract by total number of students.

350-300=50 students

6 0
3 years ago
At Fridays football game, 1,294 tickets were sold for a total amount of $8,816.00. if each student ticket cost $5.00, and each a
e-lub [12.9K]

Answer:

512 student tickets were purchased.

Step-by-step explanation:

Represenation of the unknowns:  Let s be the number of student tickets and a the number of adult tickets.  Then s + a = 1294.

The dollar amounts are thus ($5/ticket)s + (8/ticket)a = $8816.

Goal: Find s; to do this, eliminate a.

Since s + a = 1294, a = 1294 - s

Then:  5s + 8(1294 - s) = 8816, or

5s - 8s + 8(1294) = 8816, or

-3s + 10352 = 8816

Isolating the 3s term, we get

-3s - 1536 = 0, or

3s = 1536, which yields s = 512

512 student tickets were purchased.

7 0
3 years ago
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