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
yuradex [85]
3 years ago
13

The following is a special trapezoid. Given AB || DC and m∠A = 113° Find the measure of ∠D.

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0
The answer is 67°.
Since the parallel sides of a trapezoid are called bases, the bases in our given trapezoid are AB and DC. We know that the corresponding pairs of base angles, such as ∠A and ∠D, or ∠B and ∠C, are supplementary, therefore, their angles add up to 180 degrees:
     ∠A + ∠D = 180°
     ∠B + ∠C = 180°
Given that m∠A = 113°, we can calculate for the measure of ∠D:
     113° + ∠D = 180°
     ∠D = 180° - 113° = 67°
You might be interested in
A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

y =4x

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

5x =10\\\\x =\frac{10}{5} = \$2 \ million

profit (in millions) made by  business A = \$2 \ million

profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0
3 years ago
If x + y= 2, x - y= 2 then x=
andriy [413]

Answer:

x374874593893

Step-by-step explanation:

eaddthemalltogethertogethtatjbifmwhumebry38578494029 aso add the m

6 0
3 years ago
Is there anybody was good at math? If so please go look at my most recent question​
Sonja [21]

Answer:

Ok

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Do you guys know how to solve with equation?
AlexFokin [52]

Answer:

{-8, 3/4}

Step-by-step explanation:

One by one, set the factors equal to zero and solve for v:

8 + v = 0 yields v = -8, and

4v - 3 = 0 yields 4v = 3 and v = 3/4

5 0
2 years ago
Read 2 more answers
Find the value to make the equation true<br><br> 1) ?/1 = 14/17
Serggg [28]

Answer:

14/17

Step-by-step explanation:

Find the value to make the equation true

1) ?/1 = 14/17

x : 1 = 14 : 17

x = 1 * 14 : 17

x = 14 : 17

x = 14/17

5 0
1 year ago
Other questions:
  • For her end of year party adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit and Brand B c
    14·1 answer
  • A student faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers. Find the
    14·1 answer
  • 56 successful students is 70​% of what number of​ students?
    9·2 answers
  • 9 3/5 times 3 1/2 equals
    11·1 answer
  • A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an u
    13·1 answer
  • What is the slope of the line that passes through the points (1,-1) and (3,-7)? Group of answer choices
    11·1 answer
  • PlEASE help so confused? <br><br> THANKS
    15·2 answers
  • Please answer this it is 25 points
    8·2 answers
  • Please help me I am stuck
    6·1 answer
  • Given right triangle def, what is the value of sin(e)? three-fifths three-fourths four-fifths four-thirds
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!