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
kotegsom [21]
3 years ago
13

The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.

Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:

m\angle A= 30^{\circ}

Step-by-step explanation:

In the question, we're given \angle A\cong \angle D. Therefore, the measure of these two angles must be equal.

To find the value of x, set these two angles equal to each other:

4x-26=x+16

Add 26 and subtract x from both sides:

3x=42

Divide both sides by 3:

x=\frac{42}{3}=14

Since \angle A was labelled as 4x-26, substitute x=14 to find its measure:

\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}

You can also substitute x=14 into the label of angle D as angle A is congruent to angle D for easier calculations (14+16=\boxed{30^{\circ}}).

You might be interested in
What is the measure of <7?
mash [69]

Answer:

120

Step-by-step explanation:

<2 = 120 degrees

<3 = <2  vertical angles

Assuming b is parallel to c

<3 = <6  alternate interior angles

<6 = <7 vertical angles

<2 = <7 =120

5 0
3 years ago
How to use exponents
Ira Lisetskai [31]


5
2 = 32


Exponents are like a simplified or easier version of multiplying
2*2*2*2*2

People use exponents in real life. For an example, they use it for finding cubic feet ,square feet, or area of something or an object.

Sorry if I am bad at explaining this or if I confused you

7 0
3 years ago
Kevin drove for 4 hours and then stopped to eat dinner. The total distance he had driven at different time intervals is shown on
natta225 [31]

Answer:

If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.  

So firstly you have to calculate the speed of the first point, which is:  

20 miles/0.5 hour

That means: 40 miles/hour

That would be your first "speed"

Then you calculate all of them :speed1+speed2+speed3 = something.  

As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr

Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.

It is my first answer, and I hope I could help you a bit!

Sorry for the awkward English, as it is not my mother tongue.

Step-by-step explanation:

8 0
3 years ago
Subtract<br><br>40(-32-40-25)<br>please show how you will do that (step by step)​
sergeinik [125]

Answer:

-3880

Step-by-step explanation:

40(-32-40-25)\\40(-72-25)\\40(-97)\\-3880

Please give brainliest if this answer satisfies your question.

4 0
3 years ago
Stanley is having wood flooring installed in his living room. The installer has used boxes of flooring on of the room. How many
Ray Of Light [21]
<h3>Total approximately 16 boxes of flooring will be needed in Stanley's living room. </h3>

Step-by-step explanation:

Here the given question is <u>incomplete</u>.

Stanley is having wood flooring installed in his living room. The installer has used 10 1/2 boxes of flooring on 2/3 of the room. How many total boxes of flooring will be needed for Stanley's living room?

The number of boxes used in the two third of room = 10 (\frac{1}{2} )   = 10.5 boxes

So, (\frac{2}{3} ) room  =   10. 5 boxes

So, 1 room  = 10.5 \times (\frac{3}{2} )  = 15.75 \approx 16

So, total approximately 16 boxes of flooring will be needed in Stanley's living room.

6 0
3 years ago
Other questions:
  • Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to
    8·2 answers
  • If f(x) = x² + 7, what is the value of f(4)? Enter the answer in the box. PLEASE HELP .
    13·1 answer
  • A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
    7·1 answer
  • Can you help me with this question please? I will reward 20 points for best answer.
    9·1 answer
  • Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him t
    12·2 answers
  • Which statement correctly compares the parking rates for each lot?
    13·1 answer
  • 10 Tom created the floor plan below for the pre-k section of a school playground. It is made up
    14·1 answer
  • Determine the domain on which the following function is decreasing.
    6·1 answer
  • Solve for x<br><br> x/4=4/10<br><br> Give your answer as an improper fraction in its simplest form.
    14·2 answers
  • Pregunta de área sobre un lago xd​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!