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
otez555 [7]
3 years ago
6

The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang

les is 135°. Find the area of the trapezoid.

Mathematics
1 answer:
siniylev [52]3 years ago
5 0
The sum of angles in any quadrilateral, including trapezoid, is 360⁰. 
Because we have <span>an isosceles trapezoid, we have 2 angles with measure 135⁰,
and we have 2 equal acute angles with measure x⁰.
So, we can find value of acute angle,
135*2 +2x =360⁰
270+2x=360
2x=360-270
2x=90
x=45⁰

So, acute angles in trapezoid = 45⁰.
From triangle ABC,
angle ACB =90⁰
angle A=45⁰,
so angle ABC= 180-(90-45)=45⁰
Triangle ABC is isosceles triangle,so |AC| = |CB|= 5 in.

So, longer base AA' = 5+4+5= 14 in

Now, we can find area of trapezoid.
shorter base = 4 in
longer base = 14 in
altitude =h = 5 in
Area of trapezoid =(1/2)(base1+base2)*h
Area of trapezoid = (1/2)(4+14)*5= 9*5=45 in²
Answer is 45 in².
</span>

You might be interested in
What is COP in mathematics
cluponka [151]

Answer:

Coefficient of Performance

5 0
2 years ago
Candice is taking a group nature hike in a park. There is a $12.00 fee just to enter the park. In addition, the tour group charg
Mariana [72]

.23(m)-12=35.

Think this is right. Haven't done these in a while

8 0
3 years ago
Read 2 more answers
Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).
Furkat [3]
The x intercept in this mathmatical equation is 1

4 0
3 years ago
Can someone please help me with these questions thank you
saul85 [17]

Answer:A) What are the side lengths of the original triangle, ABC?

B) What are the side lengths of the enlarged, A’B’C?

C) Calculate the area and the perimeter of A’B’C.

7 0
2 years ago
Match each expression to another expression with the same value. 24 ÷ 3 53 × 7 56 − 21 4 − 3 40 × 2 8 × 50 8 × (5 × 12 − 10) (8
FrozenT [24]

Answer:

a. 24 ÷ 3  = 8                       ⇒              i. 8 × 3 ÷ (6 − 3)  = 8

b. 53 × 7 = 371                     ⇒             h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400    ⇒             f. 8 × 50 = 400

Step-by-step explanation:

Given:

We have to match the equivalent expressions:

a. 24 ÷ 3                 f. 8 × 50

b. 53 × 7                 g. 8 × (5 × 12 − 10)

c. 56 − 21               h. (8 × 7 − 3) × 7

d. 4 − 3                   i. 8 × 3 ÷ (6 − 3)

                e. 40 × 2          

             

Solution:

a. 24 ÷ 3 = 8                

b. 53 × 7 = 371            

c. 56 − 21 = 35            

d. 4 − 3 = 1  

e. 40 × 2 =80                            

f. 8 × 50 = 400                      

g. 8 × (5 × 12 − 10)  <em>Using PEMDAS rule.</em>

⇒ 8\times (60-10)

⇒ 8\times 50

⇒ 400

h. (8 × 7 − 3) × 7

⇒ (56-3)\times 7

⇒ (53)\times 7

⇒ 371

i. 8 × 3 ÷ (6 − 3) = 8

⇒ \frac{8\times 3}{3}

⇒ \frac{24}{3}

⇒ 8

Answers:

a. 24 ÷ 3  = 8                       ⇒              i. 8 × 3 ÷ (6 − 3)  = 8

b. 53 × 7 = 371                     ⇒             h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400    ⇒             f. 8 × 50 = 400

c,d and e didn't have any match    

a is equivalent to i,b equivalent to h and g is equivalent to f.

6 0
3 years ago
Other questions:
  • What is the solution set for 3x&gt;6?
    7·2 answers
  • Which of following is the graph of y = -(x + 1)2 -3?
    7·2 answers
  • Evan is thinking of a 3-digit odd number that uses digit 7 twice. The digit in the tens place is less than 1. What is the number
    6·2 answers
  • How many cups of raisins will Gina need to make 32 servings of trail mix
    10·1 answer
  • Solve: 2x+1-14x=-71<br> This is for 7th grade mathematics. Please help! I need this now!
    10·1 answer
  • Mai received a $70 gift card for a coffee store. She used it in buying coffee that cost $8.48 per pound. After buying the coffee
    9·2 answers
  • The polynomial P is graphed.
    13·1 answer
  • Help ;-; Im almost overdue and I'n only on Q.13/24
    14·2 answers
  • At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time
    11·2 answers
  • Translate this phrase into an algebraic expression.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!