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IRISSAK [1]
3 years ago
9

©

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

4:25:6

Step-by-step explanation:

apple juice : coconut milk : orange juice

8 : 50 : 12

= 4 : 25 : 6

^ the original ratio was divided by 2 to the simplest form.

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HELP PLEASE!!! 10 PTS!!
allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

\angle ADC\cong \angle ACD

m\angle ADC=m\angle ACD

According to the angle sum property, the sum of interior angles of a triangle is 180°.

m\angle ADC+m\angle ACD+m\angle DAC=180

m\angle ACD+m\angle ACD+44=180

2m\angle ACD=180-44

2m\angle ACD=136

Divide both sides by 2.

m\angle ACD=68

CE bisects ∠ACD.

m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}

m\angle ACE=m\angle DCE=\dfrac{68}{2}

m\angle ACE=m\angle DCE=34

Use angle sum property in triangle CDE,

m\angle CDE+m\angle DCE+m\angle DEC=180

68+34+m\angle DEC=180

68+34+m\angle DEC=180

102+m\angle DEC=180

Subtract 102 from both sides.

m\angle DEC=180-102

m\angle DEC=78

Therefore, the measure of angle DEC is 78°.

6 0
2 years ago
Assume that 6 people, including. the husband and wife pair, apply for 5 sales positions. People are hired at random. What is the
Dvinal [7]
Probability that one is hired ans one not:
P ( A ) = (2 C 1 * 4 C 4) / 6 C 5 =
= ( 2 * 1 ) / 6 = 2/9 = 1 / 3
Answer: 1/3  or  33.33% 
7 0
3 years ago
Write two multiplication problems that have the same product 3 × 2/6
Ulleksa [173]
4×2/8
5×2/10
6×2/12
7×2/14
8×2/16
9×2/18
10×2/20
There are a lot more problems but here are a couple to help you for now.
8 0
2 years ago
Need help solving this
DedPeter [7]

Answer:

  x = (√21)/2

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.

  x = (√3)/2·√7

  \boxed{x=\dfrac{\sqrt{21}}{2}}

8 0
2 years ago
if there are 450 campers and 2/3 decides to come back next year how many campers will be coming back next year
DedPeter [7]

Answer:

So 452.3 campers will be coming back next year

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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