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3 years ago

Find the measure of angle Z.

Mathematics

1 answer:

Keith_Richards [23]3 years ago

5 0

Answer:

Angle Z = 117°

Step-by-step explanation:

We are given a figure with a triangle with two known angles and one unknown angle. That unknown angle further extends to form a straight line and we are to find that exterior angle z.

We know that the sum of all three angles of a triangle is 180°. So the third unknown angle of the given triangle will be = 180 - (45 + 72) = 63°.

We also know that angles on one side of a straight line always add to 180°.

Therefore, angle z = 180 - 63 = 117°.

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Jake has 12 liters of water. Name four different ways he can divide the water into buckets so each bicket has the same number of

sammy [17]

1 liter per 12 buckets, 3 liters per 4 buckets, 6 liters per 2 buckets, and 4 per 3.

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2 years ago

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Write a linear function with the values f(-1)=8 and f(5)=6

lukranit [14]

(-1,8) and (5,6) are points on the line.
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3 years ago

Sarawong's school is selling tickets to the annual talent show. On the first day of ticket sales the

SIZIF [17.4K]

Answer:

Price of the adult ticket is $13

Price of the child ticket is $3

Step-by-step explanation:

Lets x be the adult ticket and y be the child ticket.

Given:

School sold 14 adult tickets and 14 child tickets for a total of $224, so the first equation is.

$14x+14y=224$ -------------(1)

And the school took in $44 on the second day by selling 2 adult tickets and 6 child tickets, so the second equation is.

$2x+6y=44$ ---------------(2)

We find the price of an adult ticket and the price of a child ticket by solving above system of equation.

Now, equation 2 multiplied by 7.

$7(2x+6y=44)$

$14x+42y=308$ ---------(3)

Now, equation 1 subtracted by equation 3.

$14x+42y=308$

$14x+14y=224$

-______________

14x is cancelled in both equations, so we get the equation.

$28y=84$

$y=\frac{84}{28}$

y = 3

Now, we substitute y = 3 in equation 2.

$2x+6(3)=44$

$2x+18=44$

$2x=44-18$

$2x=26$

$x=\frac{26}{2}$

x = 13

Therefore, the price of the adult ticket is $13 and the price of the child ticket is $3.

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3 years ago

Express this number in standard form. 3.868×10 9=?

Phantasy [73]

3,868,000,000 is your answer. Move the decimal to the right 9 times. That gives you 6 extra 0’s.

6 0

2 years ago

5(x+y)-3(y/x) plz help me

Contact [7]

Answer:

$\large\boxed{5(x+y)-3\left(\dfrac{y}{x}\right)=5x+5y-\dfrac{3y}{x}}$

Step-by-step explanation:

$5(x+y)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=5x+5x\\\\3\left(\dfrac{y}{x}\right)=\dfrac{3y}{x}\\\\5(x+y)-3\left(\dfrac{y}{x}\right)=5x+5y-\dfrac{3y}{x}$

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3 years ago