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Dvinal [7]
2 years ago
7

I'm confused, this says the triangle shown below has an area of 50 units2 find the missing side. One side is the length witch is

11 and width is 11 and height is missing.
Mathematics
1 answer:
frutty [35]2 years ago
8 0

Answer:

The height of the given triangle is 9.091 units.

Step-by-step explanation:

Area of a triangle = \frac{1}{2} x base x height

From the given question,

area of the triangle = 50 units^{2}

length = 11 units

width = 11 units

So that,

50 = \frac{1}{2} x 11 x height

100 = 11 x height

height = \frac{100}{11}

           = 9.091

The height of the given triangle is 9.091 units.

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(a) Are triangles the congruent? Write the congruency statement.
Maru [420]

Answer:

Part A) Yes , the triangles are congruent

Part B) The side-angle-side (SAS) theorem

Part C) The perimeter of  ∆PQR is 17\ ft

Step-by-step explanation:

Step 1

we know that

The side-angle-side (SAS) theorem, states that: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

so in this problem

Traingle PQR and Triangle STU are congruent by the SAS Theorem

because

m<PQR=m<STU -------> included angle

PQ=TS

QR=TU

Step 2

<u>Find the value of y</u>

we know that

If the triangles are congruent

then

The corresponding sides are equal

so

PR=SU

substitute

(3y-2)=(y+4)

(3y-y)=(2+4)

(2y)=(6)

y=3\ ft

PR=3y-2=3(3)-2=7\ ft

SU=y+4=(3)+4=7\ ft

so

PR=SU

Step 3

Find the perimeter  ∆PQR

Remember that

The perimeter of  ∆PQR is equal to the perimeter  ∆STU

The perimeter is equal to

P=PQ+QR+PR

substitute the values

P=4+6+7=17\ ft

6 0
3 years ago
A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of
Mice21 [21]

Answer:

137 boxes

Step-by-step explanation:

1096 boxes * 0.125(12.5% of boxes weighing less than a pound) = 137 boxes

8 0
2 years ago
0.00000007 as a fraction
wariber [46]

Answer:

7/100000000

Step-by-step explanation:

to find this out we can start by saying that 0.7 is 7/10

every 0 in front of 7 after that is adding another 0 to 10

so

0.07 is 7/100

0.00000007 is 7/100000000

5 0
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Mazyrski [523]

7 gallons of pure acid and 14 gallons of 10% acid

3 0
3 years ago
Solve y + 8 &lt; 13 <br> try y ? 7
Rudik [331]

Answer:

y<5

Step-by-step explanation:

y+8 < 13

   y < 13-8

   y < 5

8 0
2 years ago
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