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3 years ago

The sum of measures of alternate interior angles of two parallel lines is 210°. What are the measures of these angles?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

5 0

Answer:

105 degrees

Step-by-step explanation:

since alternate interior angles are equal they have to be the same, so you just divide by two to get 105.

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-2x <-12<br><br> solve the inequality

Scorpion4ik [409]

Answer:

x > 6

Step-by-step explanation:

-2x < -12

divide by -2

switch signs because you're dividing by a negative number

-2x/-2 < -12/-2

x > 6

Hope this helps :)

3 0

3 years ago

Read 2 more answers

A gallon of gas costs g dollars. paul puts 12.5 gallons of gasoline in his car and 0.75 gallon of gasoline in a portable tank. w

Oduvanchick [21]

The answer is A because 12.5 plus 0.75 is 13.25. Then muiltiply it with g to find total cost.

6 0

3 years ago

Write the slope intercept form of the equation of the line through the given point with the given slope

aleksandrvk [35]

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

$3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6$

The equation is :

$y=\dfrac{-3}{5}x+6$

Hence, the required equation is $y=\dfrac{-3}{5}x+6$ .

5 0

3 years ago

How to convert 43 cm into a fraction?<br><br> .

Alex787 [66]

Since a cm is 1/100th of a meter, 43 cm would simply be 43/100. Hope that helps!

5 0

3 years ago

Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who

yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

$\dfrac{1}{2}x+\dfrac{3}{4}y=765.$

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

$\dfrac{1}{4}x+y=745.$

3. Multiply each equation by 4 and get a system of two equations:

$\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.$

From the second equation $x=2980-4y$ , then

$2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.$

Then

$x=2980-4\cdot 580=2980-2320=660.$

6 0

3 years ago