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Oksi-84 [34.3K]
3 years ago
9

Calculate the area of quadrilateral ABCD. State the units of your answer.

Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

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Please help me prove this theorem thing. I'll give yuh mind kisses <3 have a good day luvlies
lesantik [10]

Answer:

∠ 1 = 20 x + 5

∠ 2 = 24 x - 1

If lines l and m are parallel:

∠ 1 + ∠ 2 = 180°

20 x + 5 + 24 x - 1 = 180

44 x + 4 = 180

44 x = 180 - 4

44 x = 176

x = 176 : 44

x = 4°

Your welcome again :)

Step-by-step explanation:

6 0
3 years ago
Find the value of each variable. X and y. 26 30
meriva

Answer:

x = 13 and y = 13√3

Step-by-step explanation:

Recall that sin Ф = opposite side / hypotenuse, and that

                   cos Ф = adjacent sice / hypotenuse.

if we recognize that the angle Ф is 30° here, then we know that:

x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.

and....

y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3

In summary, x = 13 and y = 13√3

3 0
3 years ago
HELP WITH 4,5 AND 6 PLZZ
Blababa [14]

Answer:

4) divide, 5) multiply, 5) divide

Step-by-step explanation:

4) you need to divide to determine the length each individual ribbon will be

5) you need to multiply the price of one shirt by three to find the price of three shirts

6) you need to divide the amount of dog food the dog will eat each day by the amount of dog food to see how many days the food will last.

6 0
3 years ago
Dana's phone has zero battery. After charging her phone for 1 minute, it has
zzz [600]

From the first two inference, it takes her phone 1 minute to charge 2% i.e 1 minute of charge = 2% of battery.

Therefore; charging from scratch,

1 min = 2%

x mins = 50%.

using cross multiplication,

x mins = (50% × 1 min) ÷ 2%.

x = 25 mins.

For 90%, applying the same formula,

y min = (90% × 1 min) ÷ 2%

y = 45 mins.

So from zero percent, it will take Dana's phone 25 minutes to charge to 50% and 45 minutes to charge to 90%.

7 0
2 years ago
If y is less than or equal to minus 4x and 3x minus 4 is equal to 2x plus 6. find the value of x​
MrRa [10]

Answer:

y <= -40

Step-by-step explanation:

3x-4 = 2x +6 --->

3x-2x = 6+4 ---->

x  = 10 --->

y <= -4 times  10--->

y <= 40

7 0
3 years ago
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