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crimeas [40]
3 years ago
9

there are 1176 students in central high school. there are 50 more girls than boys. how many boys are there.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
563 boys and 613 girls
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Factorise or simplify<br><br>4a² - 8ab²​
Alex73 [517]

Answer: I think it would be 4a(a−2b squared)

7 0
2 years ago
I need help indicating the exterior angle
levacccp [35]

Check the picture below.

7 0
3 years ago
A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
Virginia drew the figure at the right on the board. The steps below are used to solve for the unknown angle, x, in the figure bu
vichka [17]

Answer:

Option B 3412

Step-by-step explanation:

we know that

step 1

75°+x=90° -----> by complementary angles

step 2

Solve for x

Subtract 75 both sides

75°-75°+x=90°-75°

step 3

x=15°

step 4

Verify

Substitute the value of x in the equation of the step 1

75°+15°=90°

90°=90° ----> is correct

therefore

The correct order is

3-4-1-2

7 0
3 years ago
​Simplify. ​13(−32.48−14.02)​ Enter your answer, as a decimal to tenths, in the box.
Artyom0805 [142]

If you mean 1/3 the answer is -15.5

1/3(-32.48-14.02) = 1/3(-46.5) = (-15.5)

3 0
3 years ago
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