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marusya05 [52]
3 years ago
8

Use the figure below to complete the following problem. Given: H = 2x + 60 T = x + 30 HALT is a ∠H = 90 120 150

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

∠H = 120

Step-by-step explanation:

See the attached figure

HALT is a parallelogram

So, angles H and T are supplementary.

∠H = 2x + 60  and ∠T = x + 30

∠H + ∠T = 180

∴ 2x + 60 + x + 30 = 180

∴ 3x + 90 = 180

∴ 3x = 180 - 90 = 90

∴ x = 90/3 = 30

So, ∠H = 2x + 60 = 2 * 30 + 60 = 60 + 60 = 120

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What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?
sineoko [7]

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest =  $137.50

Principal= $500

time = 5 years

We want to find the rate  R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

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3 years ago
The difference of a and b is?
Yakvenalex [24]
A-b
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Which fraction is equal to a whole number 9/3, 2/3, 1/3, 5/3
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9/3

Step-by-step explanation:

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Alexus [3.1K]

Answer:

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6 0
2 years ago
Copy the problems onto your paper, mark the givens and prove the statements asked.
natulia [17]

The statements and reasons for the proof are:

  1. CN ≅ WN [given]
  2. ∠C ≅ ∠W [given]
  3. m∠CNR ≅ ∠WNO [vertical angles theorem]
  4. ΔCNR ≅ ΔWNO [ASA theorem]
  5. RN = ON [CPCTC]

<h3>What is the CPCTC and ASA Congruence Theorem?</h3>

When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.

The statement for the proof along with the reasons in bracket are:

  1. CN ≅ WN [given]
  2. ∠C ≅ ∠W [given]
  3. m∠CNR ≅ ∠WNO [vertical angles theorem]
  4. ΔCNR ≅ ΔWNO [ASA theorem]
  5. RN = ON [CPCTC]

Learn more about the CPCTC theorem on:

brainly.com/question/14706064

#SPJ1

8 0
2 years ago
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