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3 years ago

What is the measure of BC?

Mathematics

1 answer:

CaHeK987 [17]3 years ago

3 0

Answer:

Measure of BC = 10.

Step-by-step explanation:

This is an isosceles triangle because the 2 base angles are both 50 degrees.

So the 2 sloping sides AB and BC are also equal.

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Given: AP=AQ, BP=BQ, CP=CQ <br><br>Prove: A, B and C are collinear.

meriva

Solution:

Given: In the given figure, where there are pair of Quadrilateral, in which AP=A Q, BP=B Q, C P=C Q .

To Prove : A, B and C are collinear.

Construction: Join AC , the point where it intersects P Q is M.

Proof:

AP=A Q, C P=C Q,

So, the quadrilateral A P C Q is a kite.→→If in a quadrilateral One pair of adjacent sides are equal, then the quadrilateral is a kite.

As we know in a kite Diagonals bisect each other at right angles.

∠AMP=∠A M Q=∠CM P=∠C M Q=90°

Also, BP=B Q, C P=C Q.

So, the quadrilateral B P C Q is a kite.

∠B MP=∠B M Q=∠CM P=∠C M Q=90°

As you can see that , 1. ∠AMP +∠CM P=90°+90°=180°→→Shows Point A and C are in line.------------(1)

2. ∠B MP +∠CM P=90°+90°=180°→→→Shows Point B and C are in line.------------------(2)

Combining (1) and (2),

Shows that point A, B,C lie in a line.

It means Points A, B,C are Collinear.

3 0

3 years ago

Math

lozanna [386]

Answer:

1. x=6

2. C <-26

3. p<6

4. -5x-44

Step-by-step explanation:

1. 2x = 3(x-2) - 3(x-6)

Distribute

2x= 3x-6 -3x+18

Combine like terms

2x =12

Divide by 2

2x/2 =12/2

x=6

2. C+6<-20

Subtract 6 from each side

C+6-6 < -20-6

C <-26

3. -5p > -30

Divide by -5. Remember to flip the inequality when dividing by a negative

-5p/-5 < -30/-5

p<6

4. -4 - 5(X+8)

Distribute

-4 -5x-40

Combine like terms

-5x-44

6 0

4 years ago

The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of

34kurt

Answer:

$t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15$

6 0

3 years ago

Write 3 ½% as a fraction

jeka57 [31]

Answer:

7/200

Step-by-step explanation:

3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200

_____

The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

3 0

4 years ago

The angle of elevation from a ship to a

GREYUIT [131]

Answer:

Step-by-step explanation:

The angle we are given is 2° and we are given the opposite leg, 135 ft. We are trying to find the hypotenuse length- the diagonal distance from the ship to the lighthouse.

So, we use SOHCAHTOA with sine:

$sin(2)=\frac{opp}{hyp}= \frac{135}{x}$

$x = \frac{135}{sin(2)} = 3868.251 ft$

Keep in mind that the angle is in degrees. Also, the number is large because of the extremely short angle.

7 0

3 years ago