at a high school, there are 3,510 students. the ratio of seniors to juniors to sophomores to freshmen is 4:6:5:3. How many students are in each class

Hello!

This is a question relating the interior angle sum of a triangle.

The interior angle sum of a triangle will be 180 degrees.

Since we are given two angle measures, we can set up an equation to find the unknown angle measure.

[tex]35+73+x=180[/tex]

[tex]x=180-35-73[/tex]

[tex]x=72[/tex]

The third angle's measure is 72 degrees.

Hope this helps!

Answer:

(A) P E X

Step-by-step explanation:

Answer:

I just know

Step-by-step explanation:

X= 9 square root of 3

Y = 18

The values of {x} and {y} in the given right angled triangle is -

x = 9√3 and y = 18.

Pythagoras theorem  states that the square of the hypotenuse is equivalent to the square of the base and perpendicular. We can write the formula for Pythagoras theorem as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is a right angled triangle as shown in the image.

We can write the tangent function as -

tan(30) = 9/x

x = 9/tan(30)

x = 9√3

Similarly, we can write the sine function as -

sin(30) = 9/y

1/2 = 9/y

y = 18

Therefore, the values of {x} and {y} in the given right angled triangle is -

x = 9√3 and y = 18.

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Answer:

-3(x - 738)

Step-by-step explanation:

-3x+2214

-3x+3 . 738

-3(x-738)

Answer:

its c bc it starts at 30

Step-by-step explanation:

Answer:

Equation: 15x-2=11x+34

x=9

Angle: 133

Step-by-step explanation:

15x-2=11x+34

add 2 to both sides

15x=11x+36

-11x to both sides

4x=36

x=9

Answer:

15x-2=11x+34

exaplan

the two-line is parallel

Answer:

Pls mark me branliest

Answer:

4.8 km is the answer.

Step-by-step explanation:

a = ?

b = 5 km

c = 7 km

According to the Pythagorean theorem,

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 49 - 25

a² = 24

a = 4.8989

Round to the nearest tenth,

a = 4.8 km

Answer:

i think it is 3

Step-by-step explanation:

Answer:

The answer is "40 second".

Step-by-step explanation:

Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.

[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]

Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.

Answer:

C

Step-by-step explanation:

Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!

Answer:

No. (work in the step by step explanation)

Step-by-step explanation:

Find out how many degrees it will drop in 16 mins.

1 minute = 6°C

16 mins = 6 x 16 = 96°

97 - 96 = 1°C

Answer:

The slope of the line is 1.

Step-by-step explanation:

The triangles don’t have a slope.  They help you find the slope of the line.

slope = rise over run

2/2=1

3/3=1

Whichever triangle you use, the slope of the line is 1.

Answer:

There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B

Step-by-step explanation:

F(x)=3/2 x2-4+C

I looked it up

Answer:

4 times

Step-by-step explanation:

Note,

Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.

Hence, we have;

120/30 = 4

Answer:

a. False. A constant is a number on it's own, and 5 would be the coefficient of x. 8 would be the constant.

b. False. -6.5 would be the constant, since it's on its own. But actually, x would be carrying on a coefficient of 1. Letters are variables, not constants.

c. True.

Answer:

Sorry I don't really now about this questions

(its difficult for me sorry)

Answer:

[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Step-by-step explanation:

[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]

Answer:

2.

Step-by-step explanation.

Answer:

74.5

Step-by-step explanation:

13.5 * 4.5 = 60.75

5.5 * 2.5 = 13.75

60.75 + 13.75 = 74.5

9514 1404 393

Answer:

  46

Step-by-step explanation:

The number of servings is ...

  (35 cups)/(3/4 cup/serving) = (4/3)(35) servings = 46 2/3 servings

There are 46 full servings of Vegetables in 35 cups.

Answer: 7

Step-by-step explanation:

9514 1404 393

Answer:

  b = 90°

Step-by-step explanation:

Angles a, b, c form a linear angle, so their sum is 180°. This means ...

  a + b + c = 180°

  b = 180° -(a +c)

Angles 'a' and 'c' are complementary, so their sum is 90°.

  b = 180° -90°

  b = 90°

__

We can also find the measures of the other angles in this geometry.

  a = 90° -c = 90° -56° = 34°

  e = c = 56° . . . . . . . . . vertical angles

In summary, ...

  a = 34°, b = 90°, c = 56°, d = 124°, e = 56°

Answer:

B

Step-by-step explanation:

They have to be the same shape and size so the most probability is B

Answer: b and d

Step-by-step explanation:it IS

Answer:

1 and 4

or say it as

More seventh graders prefer art class to music class as an elective

There is no association between a student's grade level and the electives they prefer

Answer:

Solution given:

38°=x°+10°[vertically opposite angle]

x°=38°-10°=28°

is your answer

Answer:

0.5

50%

1/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

5+7=12

5 have 7-14

7 have 15-22

The final answer is 12

Answer:

x + 2y < 8 and - 4x -y = 10

Step-by-step explanation:

make x the subject of the formula then collect like terms then subtract and make them cross the equally sign

The given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.

Gvien that,
To determine the system of inequality and equation where point (-4, 6) lies.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
= x + 2y
where x = -4 and y = 6
= -4 + 12
= 8
So it matches with the equation given in option C

Now,
=-4x - y
Substitute the point
= -4 × -4 - 6
= 16 - 6
= 10
So it matches with the equation given in option C

Thus, the given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.

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