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
ELEN [110]
3 years ago
12

The trapezoid ABCD has angle C=70 degrees and D=50 degrees. Find the size of angle A and angle B

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Angle A = 130° and Angle B = 110°

Solution:

Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°

If ABCD is a trapezoid, then AB is parallel to CD.

AD is a transversal to AB and CD and

BC is a tranversal to AB ad CD.

Sum of the interior angles on the same side are supplementary.

∠A + ∠D = 180°

⇒ ∠A + 50° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠A = 180° – 50°

⇒ ∠A = 130°

Similary, ∠B + ∠C = 180°

⇒ ∠B + 70° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠B = 180° – 70°

⇒ ∠B = 110°

Hence, angle A = 130° and angle B = 110°.

You might be interested in
(6/7)^2 times (1/2)^2
Verizon [17]

Answer:

9/49 or 0.184

5 0
3 years ago
Read 2 more answers
Helppppppppppppppppp​
Sergeeva-Olga [200]
<h2>Answer: </h2>

15% of $49.64

=> 15/100 × 49.64

=> $7.446.

<u>After rounding to the nearest ten</u>,

=> <u>$7.5</u>

8 0
2 years ago
Resuelve las siguientes ecuaciones: -x^2 - x =0 -X^2 + 12x = 0 3X^2 - 9x = 0 X^2 - 2x - 3 = 0
vaieri [72.5K]

Responder:

<em>a) 1 </em>

<em>b) 12 </em>

<em>c) 3 </em>

<em>d) -1 y 3 </em>

Explicación paso a paso:

Dadas las siguientes ecuaciones;

a) x²-x =0

x² = 0+x

x² = x

x = 1

b) -x²+12x = 0

-x² = -12x

x² = 12x

x = 12

c) 3x² - 9x = 0

Suma 9x a ambos lados

3x²-9x+9x = 0+9x

3x² = 9x

3x = 9

x = 9/3

x = 3

d) x²-2x-3 = 0

x²-3x+x-3 = 0

x(x-3)+1(x-3) = 0

(x+1)(x-3) = 0

x+1 = 0 y x-3 = 0

x = -1 y 3

4 0
2 years ago
a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are p
xxTIMURxx [149]

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

= 325 * 2! = 650.

Total number of possible license plates

= 5040 * 650 = 3,276,000.

7 0
2 years ago
Read 2 more answers
Evaluate: f(x) = f(g(3)), where<br>f(x)= 3x-2 and g(x)= x^2-4
dimulka [17.4K]

Hello from MrBillDoesMath!

Answer:  13

Discussion:

Evaluate f(g(3)).

g(3) = 3^2 -4 = 5 so

f(g(3)) = f(5) = 3*5-2 = 15 -2 = 13


Thank you,

MrB


4 0
2 years ago
Read 2 more answers
Other questions:
  • Can I get help with these two please?
    13·1 answer
  • 1,3,5,7,9 what is the next term
    11·2 answers
  • Two different lines are parallel if their slopes are____.
    9·1 answer
  • How do you write the set notation for the graph below?
    6·1 answer
  • What is<br> radians in degrees?
    15·1 answer
  • general admission tickets to the fair cost $3 per person ride passes cost an additional $5 per person parking tickets cost 7 dol
    7·1 answer
  • Use the simple interest formula to find the unknown quantity. I = prt I = $9 p = $450 r = 4% t =
    6·1 answer
  • Determine the XNY intercepts of the graph of X+2y=-4
    12·1 answer
  • PLEASE HELP IS THIS CORRECT GUYS YES OR NO!
    9·1 answer
  • Sorry if it is blurry but can you give me the answer plsss
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!