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il63 [147K]
3 years ago
12

If There

Mathematics
1 answer:
Andrew [12]3 years ago
5 0
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Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the
faust18 [17]

Answer:

The length of the side PC is 34 cm.

Step-by-step explanation:

We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.

Suppose BP = 16 cm and AD = 90 cm.

As, it is given that AD = 90 cm and the three sides AB = BC = CD.

From the figure it is clear that AD = AB + BC + CD

So, AB = \frac{90}{3} = 30 cm

BC = \frac{90}{3} = 30 cm

CD = \frac{90}{3} = 30 cm

Since the triangle, BPC is a right-angled triangle as \anglePBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.

Now, the Pythagoras theorem states that;

\text{Hypotenuse}^{2} = \text{Perpendicular}^{2} +\text{Base}^{2}

\text{PC}^{2} = \text{BP}^{2} +\text{BC}^{2}

\text{PC}^{2} = \text{16}^{2} +\text{30}^{2}

\text{PC}^{2} = 256+900 = 1156

\text{PC}=\sqrt{1156}

PC = 34 cm

Hence, the length of the side PC is 34 cm.

4 0
3 years ago
the dryers at Suds ‘R Us only accept quarters. Each quarter adds 8 minutes of dry time to the cycle. If Andrew knows that his to
svlad2 [7]

Answer:

it would be 2 quarters

Step-by-step explanation:

because 25cents=8minutes and 8+8 is 16 one over 15

6 0
2 years ago
Use the following problem to answer the question below:
Rom4ik [11]

Answer:

m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles

Step-by-step explanation:

∵ m∠ABE = m∠CBD

∵ m∠ABD = m∠ABD + m∠DBE

∵ m∠CBD = m∠CBE + m∠EBD

∵ ∠EBD is common angle between them

∴ m∠ABD = m∠CBE

6 0
3 years ago
Plz help me 2x+y=4 4x+2y=8
aleksklad [387]

Answer: Y= 2 X=1

Step-by-step explanation:

2x+y=4                  4x+2y=8

2x     =/2                     2y= /2

y=2                          4x=4

                               /4= /4

                               X= 1

6 0
3 years ago
Read 2 more answers
Divide and express your answer to lowest term
musickatia [10]

Step-by-step explanation:

3/4:2/5=3/4×5/2=15/8

3/8 ÷ 2/12=3/8 ×12/2=36/16=9/4

8 0
2 years ago
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