All categories

2 years ago

PLS HELP FAST!!!

Mathematics

1 answer:

expeople1 [14]2 years ago

3 0

Answer:

The answer to your question is:

Step-by-step explanation:

Q1. They are vertical angles, so they measure the same

[2(x + 10)] = (3x - 30)

2x + 20 = 3x -30

2x - 3x = -30 - 20

- x = - 50

x = 50

Q2. They are also vertical angles, so they measure the same.

[6(x - 2)] = 3x + 30

6x - 12 = 3x + 30

6x - 3x = 30 + 12

3x = 42

x = 42/3

x = 14

∠DHG = 6(14 - 2)

∠DHG = 6(12)

∠DHG = 72

You might be interested in

What is a division problem that has the answer 6?? 8th grade

nika2105 [10]

18/3=6
12/2=6
24/4=6
30/5=6
36/6=6

3 0

2 years ago

Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =

Arte-miy333 [17]

Answer:

x = 12

(2x + 1)° = 25°

(5x + 5)° = 65°

Step-by-step explanation:

By the property of a triangle,

Sum of all angles of a triangle is 180°

In the given right triangle,

(2x + 1)° + 90° + (5x + 5)°= 180°

7x + 96 = 180

7x = 180 - 96

x = $\frac{84}{7}$

x = 12

Angle (2x + 1)° = 2(12) + 1 = 25°

Angle (5x + 5)° = 5(12) + 5 = 65°

Therefore, all three angles of the right triangle are 25°, 90° and 65°.

4 0

2 years ago

There are two balance beams at the gym.one is 15 feet long ,theother is 162 inches long.which beam is longer?

Oduvanchick [21]

12 inches = 1 foot

Let x=length of 2nd balance beam in feet

by ratio and proportion

1/12 = x/162

multiply noth sides by 162 to isolate x

(1/12)(162) = (x/162)(162)

162/12 = x

13.5 = x

Source -->https://socratic.org/questions/at-the-gym-one-balance-beam-is-15-feet-long-while-the-other-is-162-in...<--

can you help me? brainly.com/question/3131429

7 0

2 years ago

Read 2 more answers

Which of the following equations names the same line as -2x – 3y = 5?

qaws [65]

Answer:

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

7 0

2 years ago

Read 2 more answers

In each part that follows, you are given an equation of a line and a point. Find the equation of the line through the given poi

Semmy [17]

Answer:

a) $y=-\frac{1}{9}x$

b) $y-2=-\frac{1}{3} (x-1)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope: $y-y_1=m(x-x_1)$

a) $m\neq 9$ in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=-\frac{1}{9}$ .

We will substitute $m=-\frac{1}{9}$ and $x_1=0\\y_1=0$ .

$y-0=-\frac{1}{9} (x-0)$

This simplifies to:

$y=-\frac{1}{9}x$

b) The equation y=3x+4 follows y=mx+b. For the perpendicular line, $m\neq 3$ . We will need to change it into its negative reciprocal which is $m=-\frac{1}{3}$ .

We will substitute $m=-\frac{1}{3}$ and $x_1=1\\y_1=2$ .

$y-2=-\frac{1}{3} (x-1)$

4 0

2 years ago