MATHEMATICS HIGH SCHOOL

Find the measure of angle ABC

Answers

Answer 1

Answer:

In every triangle, the sum of the interior angles is 180°. The sum of the angles of this triangle is

$32+(2x-15)+(x-5) = 2x+x+32-15-5 = 3x+12$

and we want this sum to be 180, so we can write the following equation:

$3x+12 = 180$

subtract 12 from both sides:

$3x = 168$

divide both sides by 3:

$x = \cfrac{168}{3} = 56$

Now we can plug this value for x in the expressions for the two unknown angle to get their value:

$B = x-5 = 56-5 = 51,\quad C = 2x-15 = 2\cdot 56-15 = 112-15 = 97$

Answer 2

Answer: you will get x as 56 and angle ABC as 51°

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When y = x^2, which of the following expressions is equivalent to –y ?

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?y = 2x – 5

2y – 4x =

Answers

For a system of equations to have infinitely many solutions it must describe identical lines.
If you multiply the first equation by 2, then move the x term to the left side, you would get 2y-4x=-10
Final Answer:
-10
Hope I helped :)

Answer:

-10

Step-by-step explanation:

Simplify open parentheses x to the 4 fifths power close parentheses to the 3 sevenths power . x to the 7 twelfths power x to the 12 over 35 power x to the 13 over 35 power x to the 43 over 35 power

Answers

Answer:

x to the 12 over 35

Step-by-step explanation:

Given expression,

Open parentheses x to the 4 fifths power close parentheses,

$\implies (x^(4)/(5))^(3)/(7)$

By using the property of exponent $(a^m)^n=a^(mn)$

We get,

$=x^{(4)/(5)* (3)/(7)}$

$=x^(12)/(35)$

= x to the 12 over 35,

Second option is correct.

i only know the answer to the first one and i think its (x^4)3^7= 2187x^4 im not sure. It might be wrong.

Give two different ratios with the description of a ratio relationship using the following information there are 15 male teachers in the school that 35 female teachers in the school

Answers

Two different ratio are;

Male teacher : Female teacher = 3 : 7

Male teacher : Teacher = 3 : 10

Here,

Number of male teachers = 15

Number of female teacher = 35

We have to find the two different ratio.

What is Ratio?

A ratio is a comparison of two similar quantities obtained by dividing one quantity by the other.

Now,

Number of male teachers = 15

Number of female teacher = 35

Hence, Number of total teacher = 15 + 35 = 50

So, Ratio of Male teacher to Female teacher = 15 : 35 = 3 : 7

And, Ratio of Male teacher to Teacher = 15 : 50 = 3 : 10

Therefore, Two different ratio are;

1. Male teacher : Female teacher = 3 : 7

2. Male teacher : Teacher = 3 : 10

Learn more about the ratio visit:

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Male teachers: female teachers
15:35
Simplifying
3: 7

The ground temperature at an airport is 13 °C. The temperature decreases by 7 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?The temperature outside a plane flying at an altitude of 5 kilometers is ____ c*?

Answers

I’m guessing it’s -22

Would any one please help me with this? My mom made a review thing for me to prepare for my midterm and I can't figure this one problem out. If someone could walk me through this I would be eternally grateful!

Answers

I ran into this same problem here on Brainly a couple of
weeks ago. Only the drawing was posted, without asking
a question. This one has some words with it, but it's not much
better than the other one was.

When you read it carefully, you can see blanks where there's
supposed to be something more written:

WHAT is equal to 3x + 9 ?

WHAT is equal to 8x + 11 ?

WHAT is equal to 5x - 8 ?

Find the measures of WHAT, WHAT, and WHAT ?

You can't do a thing with this as it is. It doesn't tell you
anything that you can work with.

Which of the following statements contain a variable? Check all that apply.A. The number of different colors on the page.
B. They scored 27 points.
C. Eighty miles per hour.
D. Half the speed of the car.

Answers

A. The number of different colors on the page.

D. Half the speed of the car.

These statements contain variables representing unknown quantities or values.

Variables in mathematics and science are symbols that represent unknown values or quantities. Let's analyze each statement to identify the ones containing variables:

A. "The number of different colors on the page."

This statement contains a variable because it represents an unknown quantity, the number of colors.

B. "They scored 27 points."

This statement does not contain a variable as it explicitly states a specific value (27 points).

C. "Eighty miles per hour."

This statement does not contain a variable as it provides a specific constant value (80 miles per hour).

D. "Half the speed of the car."

This statement contains a variable because it represents an unknown value, which would depend on the actual speed of the car.

In summary, the statements containing variables are:

A. The number of different colors on the page.

D. Half the speed of the car.

These statements represent quantities that can vary, making them suitable for mathematical or scientific analysis where variables are used to express relationships and solve equations.

For more such questions on speed

brainly.com/question/553636

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The correct answers are:

A) the number of different colors on the page; and
D) half the speed of the car.

Explanation:

A variable represents an unknown amount.

For A, we do not know how many colors are on the page; this means we would use a variable to represent it.

For D, while we know we want half of the speed of the car, we do not know what the speed of the car actually is; therefore we would use a variable to represent it.

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2. When a person is selected at random from a very large population, the probability that the selected person is righthanded is 0.82. If three people are selected at random, what is the probability thata. They are all right-handed?b. None of them is right-handed?

20 divided by 3 , worked out