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anastassius [24]
3 years ago
5

HELP I WILL MARK BRAINLIEST AND GIVE 58 PTS

Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0
This is just a guess, but I’m very confident.
APO is equal to about DQO. The reasoning is because that if AO = DO, then A is the same distance from O as D is to O. Basically, the sides are symmetrical, therefore APO would equal DQO.
Sholpan [36]3 years ago
3 0

Answer:

\triangle APO \cong \triangle DQO by AAS congruence.

Step-by-step explanation:

Answer, along with complete proof of answer and the proof that AO=DO.

We first note that \angle POA=\angle DOQ by the Vertical Angle Theorem.

We are given that \angle APO=\angle DQO, and that PO=QO so \triangle APO \cong \triangle DQO by AAS congruence.

Because the two triangles are congruent, we also have that \boxed{AO=DO}, as desired.

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Oduvanchick [21]

Answer:

1. cost per chair: $86.40

2. selling price per chair: $146.88

Step-by-step explanation:

1. The total cost per chair will be the sum of the cost of materials and the overhead cost (equipment, energy, labor, marketing). The cost of materials is ...

$500/(16 chairs) = $31.25/chair

So, the total cost is ...

cost of each chair = material cost + overhead cost

= $31.25 +55.15

cost of each chair = $86.40

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2. We assume the markup is 70% of the cost, so will be ...

0.70 · $86.40 = $60.48

Then the selling price of the chair will be ...

selling price = cost + markup

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selling price = $146.88

3 0
3 years ago
janelle and Jacob are considering a $130,000 mortgage for 30 years at 4.8%. With this information, their monthly payment would b
Gala2k [10]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Can someone help answer this question Ive tried a lot and couldnt do it.
aleksklad [387]

Answer:

1222

Step-by-step explanation:

You have a triangular prism on top of a rectangular prism.  The surface area is the sum of the areas of the exposed faces.

Starting with the triangular prism, the surface area is the area of the two triangular bases plus the area of the two rectangular sides (the bottom rectangular face is ignored).

A = ½ (10) (12) + ½ (10) (12) + (13) (9) + (13) (9)

A = 60 + 60 + 117 + 117

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The surface area of the rectangular prism is the area of the two rectangular bases (front and back), plus the two walls (left and right), plus the bottom, plus the top (minus the intersection with the top prism).

A = (19) (11) + (19) (11) + (9) (11) + (9) (11) + (19) (9) + (19) (9) − (10) (9)

A = 209 + 209 + 99 + 99 + 171 + 171 − 90

A = 868

So the total surface area is:

354 + 868

1222

5 0
3 years ago
nicholas has $5000 to invest for retirement. his goal is to have at least $40000 in 30 years. if he finds an account with contin
MakcuM [25]
40000=5000e^30r
40000/5000=e^30r
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R=6.93%
4 0
4 years ago
What is the answer for both of these questions? I really need help
joja [24]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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