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sveta [45]
3 years ago
7

Question 9 The triangles shown are

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0

Answer:

The triangles shown are<u> proportional</u>

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

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Can someone please help me with this
UNO [17]
Ok so we know that student tickets cost $5, and adult tickets cost $8. We also know that the total no. of tickets sold was 150.

Let's make the amount of student tickets sold be S, and the no. of adult tickets sold be A.

We know that tickets sales amounted to $1,020, so:
8A + 5S = 1020
And:
A + S = 150. Multiply this by 5;
5A + 5S = 750

When you subtract the two equations;
(8A+5S) - (5A+5S) = 1020-750
So 3A = 270
A = 90
So 90 adult tickets were sold.
S = 150 - 90
= 60
So 60 student tickets were sold (although you don't need this as part of your answer)

Hope this helped
4 0
3 years ago
Find the degree of the polynomial<br> 5x^3+7x^2-9
Fantom [35]

Answer:

The degree of the polynomial is 3.

6 0
3 years ago
Express 8.21 point as a mixed number
JulsSmile [24]
8 21/100 is the mixed number for8.21
7 0
3 years ago
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
AlladinOne [14]

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

8 0
3 years ago
Which of the following best describes the solution to the system of equations below? -6x + y = -3 7x - y = 3
rusak2 [61]

Answer:

<em>y= -3</em>

<em>x= 0</em>

Step-by-step explanation:

I will give the explanation in picture, hope you can understand it.

7 0
3 years ago
Read 2 more answers
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