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Snowcat [4.5K]
2 years ago
5

The measure of an angle is 54º. What is the measure of its complementary angle?​

Mathematics
2 answers:
goldenfox [79]2 years ago
5 0

Answer:

Hello! answer: 36

Step-by-step explanation:

Complementary angles are 90 degrees

90 - 54 = 36 therefore 36 is the missing angle HOPE THAT HELPS!

Alona [7]2 years ago
4 0

Answer:

36 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.

90 - 54 = 36

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A company manufactured a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in we
Katena32 [7]
15.85 oz to 16.15 since .15 ounces less than 16 is 15.85 and .15 ounces more than 16.15
3 0
3 years ago
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parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair. On Saturday, there
V125BC [204]

Answer:

89

Step-by-step explanation:

Given that,

During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair.

No of people attending the fair on Saturday is 8,633 amd No of people attending the fair on Sunday is 7,400.

We need to find the no of people that received a free admission over the two days.

Dividing 8,633 by 179 gives 48 as quotient and 41 as remainder. It means on Saturday 48 people entered for free.

Dividing 7,400 by 179 gives 41 as quotient and 61 as remainder. It means on Sunday 41 people entered for free.

Total no of people,

T = 48 + 41

T = 89

Hence, there are 89 people for free entries.

6 0
3 years ago
Felicia is a manager at the All You Can Eat Buffet. She earns $38,550 annually. If she pays 6.2% of her annual income toward Soc
castortr0y [4]
Answer: 6.2 + 1.45 is 7.65% which as a decimal is 0.0765 so multiply that by 38550.
4 0
3 years ago
I need help ASAP THANK YOU
Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To prove that BC ≅ AD, that is that BC = AD

You would need to prove the lengths are the same.

4 0
3 years ago
Read 2 more answers
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