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Rufina [12.5K]
1 year ago
14

Solve for X:

Mathematics
1 answer:
defon1 year ago
5 0

Answer:

x=13

Step-by-step explanation:

Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, it divides both sides proportionally.

21/14 =1.5

6x1.5 = 9

x-4=9

x=13

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dezoksy [38]
   (4-3n-5n2)

+( -2+n-3n2)
____________________
    -2-2n-8n2

8 0
3 years ago
Read 2 more answers
Please help please please
alexgriva [62]
Two sets (or three technically)
sets {2, 4, 6, 8, 10} & {8,9,10}

The probability of one of the above numbers because it is a union of those two vars/sets so numbers from either set go

{2, 4, 6, 8, 9, 10}
Thats 6 of the 10 numbers 

6/10
.6

If i'm wrong, sorry, haven't done this kind of stuff in a while
8 0
3 years ago
Hey! Can someone check my answers?
Andrew [12]
The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}
Since x^{a}* x^{b}  =x^{a+b}, then x^{9}= x^{3}* x^{6}

Back to our expression:
4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+  5y ^{6}*1=5 y^{6} (4y ^{3} +1)
The greatest common factor is thus 5 y^{6}


Q2. The answer is <span>D. 12xy^2
</span>
12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}
We will use the rule  x^{a}* x^{b} =x^{a+b} to factorise the exponents:
12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)
The greatest common factor is thus 12xy^{2}
3 0
3 years ago
An equation is shown below:
IrinaK [193]
5(2x - 8) + 15 = -15
               -15      -15     subtract 15 from each side
5(2x - 8) = -30
  ÷5             ÷5             divide both sides by 5
2x - 8 = -6
     +8    +8                   add 8 to each side
2x=2
÷2  ÷2                          divide both sides by 3
x = 1

Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15             Correct! x=1
7 0
3 years ago
Read 2 more answers
There are 20,000 members of a zoo. The percent of
schepotkina [342]

1500 members have a contributor  membership.

64.8% of the noncontributory  memberships are individual memberships.

<u>Step-by-step explanation:</u>

There are 20,000 members of a zoo.

⇒ Total members = 20,000

From the graph shown,

7.5% of the members have a contributor  membership.

<u>To find the number of members who have contributor  membership :</u>

⇒ 7.5% of 20,000

⇒ (7.5/100) × 20,000

⇒ 7.5 × 200

⇒ 1500 members.

Therefore, 1500 members have a contributor  membership.

<u>To find the percentage of the noncontributory  memberships are individual memberships :</u>

The percentage of noncontributory  memberships = 100% - 7.5% ⇒ 92.5%

The percentage of individual memberships = 60%

∴ What percentage of the noncontributory  memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%

3 0
3 years ago
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