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aksik [14]
3 years ago
13

A triangle is inscribed in a rectangle as shown below what is the area of the shaped region

Mathematics
1 answer:
alekssr [168]3 years ago
6 0

Answer:

Step-by-step explanation:

area of rectangle=11×5=55 cm²

area of triangle=1/2×5×3=15/2=7.5 cm²

area of shaded region=55-7.5=47.5 cm²

You might be interested in
Write an algebraic expression for each of the statements below.
4vir4ik [10]

Answer:

i) 3x + 7

ii) x/3 = 9

iii) y = 2x +4

iv) y = 6x

5 0
3 years ago
17. Classify Each Angle Pair then find the value of X
IRISSAK [1]

<u>Given</u> -

  • If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,

<u>To find</u> -

  • m∠2.

<u>Concept</u> -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

<u>Solution</u> -

\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}

\rightarrow\sf{13x+5x+24-6=180}

\rightarrow\sf{18x+18=180}

\rightarrow\sf{18x+18=180}

\rightarrow\sf{18(x+1)=180}

\rightarrow\sf{x+1=\frac{180}{18}}

\rightarrow\sf{x+1=10}

\rightarrow\sf{x=10-1}

\rightarrow\boxed{\bf{x=9}}

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

4 0
2 years ago
Please help thanks and show work
My name is Ann [436]

First find the area of the triangle at the end.

Area of a triangle is 1/2 x base x height.

The triangle is a right triangle with a base of 4 and height of 3


area = 1/2 x 4 x 3 = 6 square cm


Now to find the volume multiply the area of the triangle by the length of the prism.


volume = 6 square cm x 11 cm = 66 cubic cm.


answer: 66 cm^3

6 0
2 years ago
SHOW YOUR WORK! Solve : <br> 4(x + 7) + 3(2x − 5) = −7x + 64
HACTEHA [7]
4x+28 +6x -15=-7x +64
10x+13=-7x +64
10x-7x=64-13
3x=51
x=17

I hope I helped you=)
7 0
3 years ago
Adelia drove from her house to Townsville one evening. Her distance was 180 miles. She left home at 6:27 and was at townsville a
Andre45 [30]

Answer: 720 mph or 12 miles a minute

Step-by-step explanation:

7 0
4 years ago
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