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
Inessa [10]
2 years ago
12

Help me please. Find the measures of CAD and DAE

Mathematics
1 answer:
VladimirAG [237]2 years ago
8 0

well, we know the "sum" of both angles is 90°, notice the rectangle in the corner, so we can say that the angles are simply complementary angles, thus

\left( \cfrac{3}{2}x+20 \right)+2x=90\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{3}{2}x+20 + 2x \right)=2(90)} \\\\\\ 3x+40+4x=180\implies 7x+40=180\implies 7x=140\implies x=\cfrac{140}{7} \\\\\\ x = 20~\hfill \stackrel{\measuredangle CAD}{\cfrac{3}{2}20+20\implies 50}\qquad\qquad \stackrel{\measuredangle DAE}{2(20)\implies 40}

You might be interested in
I need help I don't really understand this
pantera1 [17]
The perimeters of both are equal.
The side of the square is 12.
Therefore, its area equals to : 12² = 144

The rectangle base is 19.
Because it has the same perimeter as the square's, so rectangle perimeter is : 19 + 19 + side + side = 12 + 12 + 12 + 12
= 38 + 2side = 48
= 2side = 48 - 38
= side of rectangle = 5
Therefore, its area is 19 x 5 = 95

If you subtract it from the area of the square, you will get : 144 - 95 = 49.
So the answer is : the area of the square is 49 units largee than the area of the square (C)
8 0
3 years ago
Need help ASAP pls pls!!!!!!
Jobisdone [24]

Answer:

60

Step-by-step explanation:

the total games that Sara played =

14+18+28 = 60

4 0
3 years ago
Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
cestrela7 [59]
I am not positive for the factoring of each expression but for the distributive property you do 8 TIMES x then 8 times 7 so you would get blank plus blank and so on for the next ones.
3 0
3 years ago
A shopkeeper sold a watch for Rs 810 at 10% loss. How much did he pay to buy the watch ? <br>​
Svetlanka [38]

Answer:

Rupees 891

Step-by-step explanation:

If you multiply 810 times 0.1 which is the decimal of 10%, you get 81 which you can add to 810 to get 891 which is the price the shopkeeper payed to buy the watch.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

7 0
2 years ago
Which equation represents the statement below?
Sergio [31]

The answer is option A

Step-by-step explanation:

Thirteen less than a number is written as

n - 13

Equate it to 42

We have

n - 13 = 42

Hope this helps you

3 0
3 years ago
Other questions:
  • In the last year a total of 2783 earthquakes occurred in the country. Of these, 85.8% were minor tremors w/ magnitudes of 3.9 or
    14·1 answer
  • ABCD is a parallelogram.
    6·2 answers
  • PLEASE HELP!!! you work a part-time job earning 6.80/hr with tips that average 2.30/hr you work 20 hr/wk and your deductions are
    10·1 answer
  • Pls help hw came late and i dont want a detention
    14·2 answers
  • 2x=34+36y<br> slope intercept form
    8·1 answer
  • Solve the equation. n-6/-4=6
    15·1 answer
  • While installing a sprinkler system, Ethel wants to cut a 20-foot length of plastic tubing into two pieces. The longer piece is
    10·1 answer
  • Describe fully the single transformation that maps triangle A onto triangle B. please help ASAP​
    6·1 answer
  • Help:( i’ll give brainliest
    15·1 answer
  • A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun m
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!