Solve the inequality. <br> -2(x-5)<4

In a triangle, two angles have measures of 45 degrees and 85 degrees. What is the measure of the third angle in this triangle?

Blizzard [7]

Answer:

50 degrees

Step-by-step explanation:

All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.

45+85=130. Then, subtract 130 from the total, or 180. 180-130=50. The measure of the third angle of the triangle is 50 degrees.

5 0

3 years ago

Inequality<br><br> Show your step by step solution to this.<br><br> 5-2x>17

bonufazy [111]

<u><em>Answer: x<-6 *The answer should be the negative sign.*</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

subtract 5 both sides of an equation.

5-2x-5>17-5

simplify.

-2x>12

multiply by -1 both sides of an equation.

(-2x)(-1)<12(-1)

simplify.

2x<-12

divide by 2 both sides of an equation.

2x/2<-12/2

-12/2=-6

12/2=6

6*2=12

12/6=2

x<-6

Hope this helps!

Thanks!

Have a great day!

3 0

3 years ago

Lorenzo ate 3.5 slices of an extra large pizza and consumed a total of 1008 calories. What is the constant of proportionality th

Lorico [155]

A3.5x+1008y

Step-by-step explanation:

8 0

3 years ago

A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much

stich3 [128]

Answer: $227.75\ ft^2$

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

$A=lw$

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

$l=20\ ft\\\\w=15\ ft$

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

$A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2$

The area of the flower garden which is an square, can be calculated with this formula:

$A=s^2$

Where "s" is the side length.

In this case you know that:

$s=8.5\ ft$

Then the area of the flower garden is:

$A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2$

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

$A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2$

4 0

3 years ago

Which of the following expressions represents 3 less than 5 times a number

alina1380 [7]

Answer:

A)

Step-by-step explanation:

4 0

3 years ago

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Solve the inequality. -2(x-5)<4