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3 years ago

What is the answer to number 5. Given BD=24 and PC=13, find PB

Mathematics

2 answers:

irakobra [83]3 years ago

7 0

The second one because of the points and it would need to be pc=13

Umnica [9.8K]3 years ago

5 0

Well first, we know BD which is equal to 24 is bisected by QC. Thus BC is 12 units long. Now that we know 2 sides of the triangle PBC, we can find the third missing side, PB, using the Pythagorean Theorem:

BC^2 + PB^2 = PC^2

12^2 + PB^2 = 13^2

144 + PB^2 = 169

PB^2 = 25

PB = 5

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Please help me with this problems.Thanks.

almond37 [142]

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3 years ago

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Use the zero product property to find the solutions to the equation 2x2 + x-1 = 2

algol [13]

Answer:

see explanation

Step-by-step explanation:

Given

2x² + x - 1 = 2 ( subtract 2 from both sides )

2x² + x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x + 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - $\frac{3}{2}$

3 0

3 years ago

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Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana th

AlekseyPX

2x+4=y

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3 years ago

Can three go into 5 in division

m_a_m_a [10]

Yes but it would result in a decimal.

4 0

4 years ago

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R , S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. mR = 60, mS = 80, mF = 60, mD =

Mumz [18]

Answer:

Yes, the two triangles are congruent, by ASA.

Step-by-step explanation:

In order to find if two triangles are congruent, you need the information of at least three out of the six incongnits of a triangle (the incognits are the three sides and the three angles)

Some of the ways to know if they're congruents are:

-ASA (Angle, side, angle): Two angles and the included side are equal for both triangles.

-AAS(Angle, angle, side): Two angles and a non-incuded side are equal for both triangles

-SAS(Side, angle, side): Two sides and the included angle are equal for both triangles.

In this case, two angles and one side of each triangle are known.

For the triangle RST, you know two angles and the included side.

For the triangle EFD, you know two angles and the non-included side. But is also known that the sum of the angles of a triangle is 180°, therefore you can obtain the third angle of EFD:

180=m∡F+m∡D+m∡E

m∡E= 180 - 60 -40

m∡E= 80°

Therefore:

m∡E=m∡S

m∡F=m∡R

RS=EF

Hence, two angles and the included side for RST and EFD are equal and the triangles are congruent by ASA.

8 0

3 years ago