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Vladimir [108]
3 years ago
5

Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle

measure of 180 degrees, what is the measure (in degrees) of Angle M?
Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

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Harish
Artist 52 [7]

Answer:

Step-by-step explanation:

Distance traveled in 1\frac{4}{5} hours = \frac{3}{10}

Distance traveled in 1 hour = \frac{3}{10} ÷ 1\frac{4}{5}

          =\frac{3}{10} ÷ \frac{9}{5}

          = \frac{3}{10}*\frac{5}{9}\\\\=\frac{1}{2}*\frac{1}{3}\\\\=\frac{1}{6}

distance traveled in 3 1/5 hours = \frac{1}{6}*3\frac{1}{5}

 ==\frac{1}{6}*\frac{8}{5}\\\\=\frac{1}{3}*\frac{4}{5}\\\\=\frac{4}{15}

5 0
3 years ago
If m angle B=m angle D=41, find m angle C so that quadrilateral ABCD is a parallelogram
Charra [1.4K]

ANSWER

139°

EXPLANATION

One of the interior angle properties of a parallelogram is that adjacent interior angles are supplementary.

This means that, the adjacent interior angles add up to 180°.

If

m \angle \: B = m \angle \: D = 41

Then

m \angle \: C +  m \angle \: D = 180 \degree

OR

m \angle \: B +  m \angle \:C= 180 \degree

\implies41 \degree +  m \angle \:C= 180 \degree

\implies m\angle \:C= 180 \degree - 41 \degree  = 139 \degree

8 0
3 years ago
Read 2 more answers
At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes
RoseWind [281]

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

8 0
3 years ago
For ΔABC, ∠A = 2x - 2, ∠B = 2x + 2, and ∠C = 5x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A
Zolol [24]
<h3>Answer:</h3>

A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

<h3>Explanation:</h3>

The sum of angles in ∆ABC is 180°, so ...

... (2x -2) + (2x +2) + (5x) = 180

... 9x = 180

... x = 20

and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.

___

The sum of angles of ∆A'B'C' is 180°, so ...

... (58 -x) +(3x -18) +(120 -x) = 180

... x +160 = 180

... x = 20

and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.

_____

The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...

... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

8 0
3 years ago
Jimmy wants to serve iced tea at his birthday party. He purchases 14 containers filled with 1.5 liters of tea. Approximately how
jenyasd209 [6]

Answer:

5.5 gallons

Step-by-step explanation:

set up a proportion; Liters in numerator and Gallons in denominator

let x = approx number of gallons

<u> 21 </u> = <u> 3.8 </u>

x           1

3.8x = 21

x = 21 ÷ 3.8

x ≈ 5.5

4 0
3 years ago
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