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3 years ago

Question #19- Use the answer bank below to fill in missing parts of the proof.

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

Answer:

∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)

∠PQR ≅∠PRQ: Reason; CPCTC

Step-by-step explanation:

$\overline{PQ}\cong \overline{PR}$ : Reason; Given

Draw $\overline{PM}$ so that M is the midpoint of $\overline{QR}$ : Reason; Two points determine a line

$\overline{QM}\cong \overline{RM}$ : Reason; Definition of midpoint

$\overline{PM}\cong \overline{PM}$ : Reason; Reflexive property

ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency

∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC

∠PQR ≅∠PRQ: CPCTC

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4x-9 , 3x-8 Add cause i'm too tired

Dovator [93]

Answer:

if your adding them together it would be -70

Step-by-step explanation:

4× -9 =-36

3×-8=-24

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3 years ago

Read 2 more answers

Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H

ikadub [295]

Answer:

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = $\frac{1}{2}$ yard

Length of ribbon the rest of ribbon is to be divided = $\frac{1}{4}$ yard

To find:

The number of ribbons of length $\frac{1}{4}$ yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = $1-\frac{1}{2} =\frac{1}{2}$ yard

Now, number of ribbon of length $\frac{1}{4}$ yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

$\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2$

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2 years ago

EVALUATE 8+3⋅4 OVER 2 THE ANSWERS ARE 8 10 16 22

slavikrds [6]

PEMDAS so you do 3*4 which equals 12, then you add 8=20 20/2=10

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3 years ago

Lara is a 50% partner. She is guaranteed payment of no less than 20,000. The partnership's income before deducting guaranteed pa

enyata [817]

Answer:

Lara's share = 25000

Step-by-step explanation:

Partnership's income = 50,000

Lara's guaranteed payment = 20,000

As the Income 50,000 is larger than Lara's guaranteed payment i.e 20,000. Since Lara is 50% partner so she will receive half the amount of the partnership's income.

Partnership's Income = 50,000

Half of Partnership's income = 50,000/2

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Therefore, Lara's distributive share is 25,000.

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3 years ago

Mathematics challenge

kari74 [83]

Get the equation of the line containing PQ using the point-slope formula:

y - (-2) = 3/2 (x - (-6))

Solve for y to get it in slope-intercept form:

y = 3/2 x + 7

so the y-intercept is (0, 7).

The line containing QR is then

y - 7 = -3/4 (x - 0)

y = -3/4 x + 7

The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

3/4 x = 7

x = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

6 0

2 years ago