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omeli [17]
3 years ago
11

Please help ♡♡♡♡♡♡♡​

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Step-by-step explanation:

\angle AOB and \angle BOC are linear pair angles.

\therefore m\angle AOB + m\angle BOC = 180° \\  \therefore  \: 3x + 124 \degree + 6x + 29 \degree  = 180° \\  \therefore  \: 9x  + 153 \degree  = 180°  \\ \therefore  \: 9x  = 180°  - 153 \degree   \\ \therefore  \: 9x  = 27 \degree   \\ \therefore  \:x =  \frac{27 \degree }{9}  \\  \huge \pink{ \boxed{\therefore  \:x =3 \degree }} \\  \\  \because \: m\angle BOC =6x + 29 \degree   \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree   \\ \therefore \: m\angle BOC = 18\degree + 29 \degree    \\ \\   \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree   }}

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(2 Fruit juice A is composed of 2 parts apple juice and 1 part grape juice.
Elenna [48]

The amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

<h3>How to Solve Algebra Word Problems?</h3>

The concentrations of apple and grape juice in the two different juice types are given as;

Juice A:

(2/3) apple

(1/3) grape

Juice B:

(1/3) apple

(2/3) grape

Let a be how much juice A is in the mixture;

Let b be how much juice B is in the mix.

Thus;

²/₃a + ¹/₃b = 10     ------(eq 1)

¹/₃a + ²/₃b = 8       ------(eq 2)

Solving both equations simultaneously gives us;

a = 12 and b = 6

Thus, the amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

Read more about Algebra Word Problems at; brainly.com/question/13818690

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5 0
10 months ago
A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it
natima [27]

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, h_o=5\ ft

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

h=-16t^2+vt+h_0

Putting all the values,

h=-16t^2+60t+5 .....(1)

For maximum height, put

\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s

Put t = 1.875 in equation (1)

h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m

So, the maximum height reached by the ball is 61.25 m.

8 0
3 years ago
Help giving brainliest
wolverine [178]

Answer:

Q1: 12.5

Q3: 16

IQR: 3.5

Step-by-step explanation:

Mean : 14.25

Median : 13.5

Mode : 13, 12

Range: 6

Minimum :12

Maximum: 18

Count n: 8

Sum: 114

Quartiles Quartiles:

Q1 --> 12.5

Q2 --> 13.5

Q3 --> 16

Interquartile

Range IQR: 3.5

Outliers: none

8 0
2 years ago
Help! how would i work this out??
Alina [70]

Answer:

i can see it

Step-by-step explanation:

6 0
3 years ago
For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water
LuckyWell [14K]

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

7 0
3 years ago
Read 2 more answers
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