1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ziro4ka [17]
3 years ago
6

What is the value of m?

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

\huge \underline \mathcal{Answer}

The given angles forms linear pair, and we know the angles forming linear pair are supplementary,

Therefore,

Angle MHJ + Angle MHL = 180°

Let's solve :

  • (5m + 100) \degree + (2 m + 10) \degree = 180 \degree

  • 7m + 110 \degree = 180 \degree

  • 7m = 70 \degree

  • m = 10 \degree

Value of variable m = 10°

\mathrm{✌TeeNForeveR✌}

You might be interested in
Samantha bought 10 identical shirts for $25. If she bought 25 of those same shirts, how much will she pay?
tatiyna

Answer:

72.50

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Polynomials are written with the exponents of the terms in ___ order
exis [7]

Answer:

numeric maybe?

7 0
3 years ago
In a triathlon , Jenny swam for 1 hour , biked for 1.75 hours , and ran for 1 hour. Her average biking speed was 2 times her ave
Naddika [18.5K]

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

<h3>Speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the average swimming speed, b the average biking speed and c the average running speed.

Her average biking speed was 2 times her average running speed, hence:

  • b = 2c  (1)

Her average running speed was 8 times her average swimming speed. Hence:

  • c = 8a   (2)

Total distance of the triathlon was 55.5 kilometers. Hence:

a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5   (3)

From equation 1, 2 and 3:

a = 2.5, b = 24, c = 12

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

Find out more on speed at: brainly.com/question/6504879

3 0
3 years ago
HELP QUICK PLSSSSS ILL GIVE LOTS OF POINTS
mariarad [96]

Answer:

B - $41,500

Step-by-step explanation:

After Subtracting his liabilities this is what I got.

Hope this Helps!

:D

6 0
3 years ago
If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.
nydimaria [60]

Answer:

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}

Step-by-step explanation:

Given

\cos(\theta) = -\frac{2}{3}

\theta \to Quadrant III

Required

Determine \tan(\theta) \cdot \cot(\theta) + \csc(\theta)

We have:

\cos(\theta) = -\frac{2}{3}

We know that:

\sin^2(\theta) + \cos^2(\theta) = 1

This gives:

\sin^2(\theta) + (-\frac{2}{3})^2 = 1

\sin^2(\theta) + (\frac{4}{9}) = 1

Collect like terms

\sin^2(\theta)  = 1 - \frac{4}{9}

Take LCM and solve

\sin^2(\theta)  = \frac{9 -4}{9}

\sin^2(\theta)  = \frac{5}{9}

Take the square roots of both sides

\sin(\theta)  = \±\frac{\sqrt 5}{3}

Sin is negative in quadrant III. So:

\sin(\theta)  = -\frac{\sqrt 5}{3}

Calculate \csc(\theta)

\csc(\theta) = \frac{1}{\sin(\theta)}

We have: \sin(\theta)  = -\frac{\sqrt 5}{3}

So:

\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}

\csc(\theta) = \frac{-3}{\sqrt 5}

Rationalize

\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}

\csc(\theta) = \frac{-3\sqrt 5}{5}

So, we have:

\tan(\theta) \cdot \cot(\theta) + \csc(\theta)

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)

Substitute: \csc(\theta) = \frac{-3\sqrt 5}{5}

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}

Take LCM

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}

6 0
3 years ago
Other questions:
  • Yessir help a girl out!
    14·1 answer
  • I am getting ready for my GED test. What is 3 is 0.2 percent of what number?
    6·1 answer
  • Last year a large trucking company delivered 9.0 × 105 tons of goods with an average value of $17,000 per ton. What was the tota
    8·1 answer
  • Beth is taking the train to see her boyfriend on Valentine's Day! The train is hundred m long and it takes 30 seconds to cross a
    9·1 answer
  • Which statement defines an annuity? A. a retirement plan offered by employers B. a group of investments that many individual inv
    14·2 answers
  • What does the expression m2p ÷ 3 equal if m = 3 and p = 6.
    14·1 answer
  • What is the median??
    6·2 answers
  • Cost to store: $45 markup: 35% what would be the selling price?
    11·1 answer
  • Help please..<br><br> find the area of the region that lies inside both curves
    9·1 answer
  • Express each rational number as a fraction or<br> mixed number in simplest form.<br> 25
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!