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2 years ago

Prove that it is congruent

Mathematics

1 answer:

pav-90 [236]2 years ago

5 0

Answer:

The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP

The triangles share one side PS

The figure also states that m∠QPS = m∠RPS

Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.

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12. If DH = HE, MBG = (9x – 20) and <br> MGC = (5x + 28), find mAB.

svetoff [14.1K]

Answer:

176degrees

Step-by-step explanation:

Find the diagram attached. From the diagram;

arcGC = = arc BG

5x + 28 = 9x - 20

5x - 9x = -20 28

-4x = -48

x = -48/-4

x = 12

Get <AB

Since <AB = <BC

<BC = arcGC +arc BG

<AB = arcGC+ arc BG

<AB = 5x + 28 + 9x - 20

<AB = 14x + 8

<AB = 14(12) + 8

<AB = 168 + 8

<AB = 176degrees

Hence the arc AB is 176degrees

5 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the given points. (-16,8), (-4,5)

sergey [27]

Answer:

y=-1/4x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-8)/(-4-(-16))

m=-3/(-4+16)

m=-3/12

m=-1/4

y-y1=m(x-x1)

y-8=-1/4(x-(-16))

y-8=-1/4(x+16)

y-8=-1/4x-16/4

y-8=-1/4x-4

y=-1/4x-4+8

y=-1/4x+4

7 0

3 years ago

My car gets 27 miles per gallon, and gasoline costs $2.50 per gallon. If we consider only the cost of gasoline, how much does it

Andrew [12]

Answer:

$71.50

Step-by-step explanation:
27 times 2.50 equals 71.50

5 0

4 years ago

How to translate f(x)=ln(8-x) into g(x)=lnx

Andreyy89

Step-by-step explanation:

f (x) + n → shifts the function n units upward.

f (x) – n → shifts the function n units downward.

f (x + n) → shifts the function n units to the left.

f (x – n) → shifts the function n units to the right.

–f (x) → reflects the function in the x-axis.

f (–x) → reflects the function in the y-axis.

$f(x)=\ln(8-x)=\ln\bigg(-(x-8)\bigg)\\\\h(x)=f(x+8)=\ln\bigg(-(x-8+8)\bigg)=\ln(-x)\\\\g(x)=h(-x)=\ln\bigg(-(-x)\bigg)=\ln(x)$

STEP 1:

shift the graph 8 units to the left

STEP 2

reflect the graph in the y-axis

8 0

3 years ago

MATCHING TYPE: Match column A with column B. Write the letter of

malfutka [58]

Step-by-step explanation:

hello , you have a picture to post it will be easier to help you since the question asking to matches the column A to B .

8 0

3 years ago

Prove that it is congruent​

Prove that it is congruent