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3 years ago

A and B are vertical angles with mA= x and mB= 4x - 30.

Mathematics

2 answers:

Pie3 years ago

5 0

Answer:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

Facts About Vertical Angles- Vertical angles are always congruent that are of equal measure. Both pairs of vertical angles (four angles altogether) always sum up to 360 degrees. Angles from each pair of vertical angles are known as adjacent angles and are supplementary (the angles sum up to 180 degrees).

dezoksy [38]3 years ago

4 0

9514 1404 393

Answer:

10°

Step-by-step explanation:

Vertical angles have the same measure, so ...

∠A = ∠B

x = 4x -30

30 = 3x . . . . . . . add 30-x to both sides

10 = x = ∠A . . . . divide by 3

The measure of ∠A is 10°.

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The sum of the length, width, and height of a rectangular package is 126 inches. If the length is 2 inches longer than five tim

taurus [48]

Answer:

Step-by-step explanation:

The length and the width are based on the height.

height: h

length: 5h + 2

width: 3h - 2

If the sum of those is 126, then:

h + 5h + 2 + 3h - 2 = 126 and

9h = 126 so

h = 14

length is 5(14) + 2 which is 72

width is 3(14) - 2 which is 40

The volume is found by multiplying the length times the width times the height:

14 * 72 * 40 = 40,320 inches cubed

4 0

3 years ago

Suppose a triangle has sides a, b, and c, and that a2 + b2 < c. Let o be the

siniylev [52]

Step-by-step explanation:

if a^2 +b^2 <c^2,

then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2

8 0

3 years ago

A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t

Sati [7]

Answer:

$\frac{2}{7}$

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = $\frac{1}{7}$

Remaining fuel after driving around the city = 1 - $\frac{1}{7}$

= $\frac{7 - 1}{7} = \frac{6}{7}$

According to question:

As from the rest of the gas in the car that is $\frac{6}{7}$ , the car can complete 3 trip to Ottawa which means,

By unitary method:

The car can complete 3 trip by using = $\frac{6}{7}$ tank of gas.

The car can complete 1 trip by using = $\frac{6}{7} \div 3$

= $\frac{6}{7} \times\frac{1}{3}$

= $\frac{6}{21}$

= $\frac{2}{7}$ tank of gas

Thus, $\frac{2}{7}$ tank of gas used for each complete trip to Ottawa.

5 0

3 years ago

Choose the equations that are not linear equations. -x - y = 2 x 2 + y = 4 - y 3 = 1 x = 5

NeX [460]

X² + y = 4 and -y³ = 1x -5 are not linear equation because they contain a variable with a exponents. These types of equation are called quadratic equations.

5 0

3 years ago

2,783 and 7,283<br> The value of 2 in _ is _ times the value of 2 in _. ?

velikii [3]

<span>2,783 and 7,283
The value of 2 in 2783 is ten times the value of 2 in 7283
</span>
In 2,783 "2" is in the thousands place. It basically represents 2,000. In 7,283 "2" is in the hundreds place. It represents 200.

4 0

3 years ago