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tigry1 [53]
3 years ago
6

Which fraction is less than 1/2? Is it A:3/8 B:5/8 C:5/7 or D:9/16

Mathematics
1 answer:
Yanka [14]3 years ago
5 0
The answer is A because it is less than 1-2
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Find the value of x. Give reasons to justify your solution. C ∈ AE
saw5 [17]

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

  • 2x + 33 = 5x (C.L.T or <u>C</u>ombine <u>L</u>ike <u>T</u>erms)
  • 3x = 33 (inverse operations; divide by 3)
  • x = 11º (remember to apply units)
7 0
3 years ago
Gary has twice as many m&amp;ms as larry. Jerry has three times as many m&amp;ms as larry. Together the tree men have 108 m&amp;
Igoryamba

Answer:

36

Step-by-step explanation:

Let number of m&ms Garry has be g

number of m&ms Larry has be l

Number of m&ms Jerry has be j

Since Gary has TWICE as Larry, we can write:

g = 2l

Also, Jerry has THRICE as Larry, we can write:

j = 3l

Together, they have 108, thus, we can write:

g + l + j = 108

Putting 1st and 2nd equation in 3rd, we can solve for Larry first. Shown below:

g + l + j = 108\\2l+l+3l=108\\6l=108\\l=\frac{108}{6}\\l=18

Larry has 18. To find Gary's number, we can use the fact g = 2l, so

g = 2 * 18 = 36

Gary has 36 m&ms

5 0
3 years ago
6x^2 + 66x + 60 factor completely
kiruha [24]

Hi! Let me help you!

  • Remember, factoring looks like so:
  • ab+ac=a(b+c)
  • So, we need to find the greatest common factor (G.C.F.) of the polynomial.
  • In this case, 6 is the GCF, so we factor it out:
  • 6x²+66x+60
  • Divide 6, 66 and 60 by 6:
  • x²+11x+10

<u>Answer:</u>

x²+11x+10

Hope you find it helpful.

\rm{Stargazing{\bold{WithJoy}

3 0
2 years ago
The value of x is and the value of y is
storchak [24]
Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3. 

The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times. 
So subtract 2 from -2 to get -4. 
The x-value is -4. 

The answer for the y-value is given earlier: 
the original point of (-2,5). 
The y-value is 5. 

Hope this helps!
6 0
3 years ago
Given that f=cd3, f=450 and d =10 what is c?
Brut [27]

Answer:

15

Step-by-step explanation:

450=c*10*3 divide by 10

45=c*3 divide by 3

c=15

4 0
3 years ago
Read 2 more answers
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