All categories

3 years ago

Angle 1 and angle 2 are supplementary. Angle 2 is vertical to a

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

<h2>Answer:</h2>

Vertical angles are congruent, so Angle 2 = 75 degrees. Supplementary angles add up to 180 degrees so Angle 1 is 105 degrees.

You might be interested in

Two integers have a sum of -44 and a difference of 22. The greater of the two integers is

Leni [432]

Answer:

-11

Step-by-step explanation:

The generic solution to ...

a + b = sum
a - b = difference

Can be found by adding the two equations:

(a+b) + (a-b) = (sum) + (difference)

2a = (sum + difference)

a = (sum + difference)/2

___

Our particular solution is ...

a = (-44 +22)/2 = -11

The greater of the two numbers is -11.

___

The other number is -33.

5 0

3 years ago

The perimeter of a rectangular field is 328 yards. If the length of the field is 89 yards, what is its width?

miv72 [106K]

<u>Set up an equation based on the information given</u>

$89 + 89 + x + x = 328$

<u>Combine like terms</u>

$89 + 89 = 178$

$x + x = 2x$

$2x + 178 = 328$

<u>Solve</u>

$2x + 178 = 328$

$328 - 178 = 150$

$2x = 150$

$x = 75$

Answer

The width of the rectangular field is 75 yards.

7 0

3 years ago

Is 33, 56, and 66 and right triangle

GenaCL600 [577]

Answer:

Step-by-step explanation:

If you mean they are the sides lengths,

33^2+ 56^2 != 66^2

3136 != 4356

7 0

3 years ago

Train a travel 175 miles in a four hours. for train b y=43.5x represents its rate of speed over the same 4 hours which train tra

stepan [7]

Answer:

Train A is faster by a factor of 1.01

Step-by-step explanation:

Given:

Train A:

Distance = 175 Miles

Time = 4 Hours

Train B:

y=43.5x

To Find:

which train travels at a faster rate in by what factor =?

Solution:

The speed of the train A = $\frac{Distance}{time}$

The speed of train A = $\frac{175}{4}$

The speed of train A = 43.75 miles per hour

Speed of the train B is the slope of the given line

The standard equation of the slope of the line is

y = mx+b

where m is the slope

and we are given with

y = 43.5x

So comparing with the standard equation

m = 43.5

Hence the speed of train B is 43.5 miles per hours

Train A travels faster

$Rate =\frac{\text{speed of train A}}{\text {Speed of train B}}$

$rate = \frac{43.75}{43.5}$

rate =1.01

7 0

3 years ago

Solve the following proportion Start Fraction x over 2 End Fraction equals Start Fraction 8 over 9 End Fraction (1 point) 144 0.

daser333 [38]

Answer:

1.78

Step-by-step explanation:

$\frac{x}{2} = \frac{8}{9}$

To solve for x we need to cross multiply it

We have = sign inbetween the fractions so we cross multiply it

9*x = 2* 8

9x = 16

Now we divide by 9 on both sides

$x= \frac{16}{9}$

so x= 1.7777777778

When we round to two decimal places then

x= 1.78

3 0

4 years ago