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WITCHER [35]
3 years ago
6

What is the GCF of 12x^2 and 18x

Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer: 6x

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

Factor each term and see what they have in common.

12x²:   2 · 2 · 3 · x · x

18x:     2 · 3 · 3 · x

The common factors are:      2 · 3 · x   = 6x

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How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

3 0
9 months ago
6/2 (1 + 2) ? What is the answer to this the answer choices are: 1, 6, 9, and 3
timama [110]

Answer:

6/2(1+2)

the 2 will divide 6 or go into 6 ,how many times, 3 times because 2*3=6

next 1+2=3

therefore 3(3) =9

5 0
3 years ago
The u.s. dairy industry wants to estimate the mean yearly milk consumption. a sample of 16 people reveals the mean yearly consum
lidiya [134]
1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.

3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75

4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)

5. Since the interval include 63, it is reasonable.
3 0
2 years ago
Please hurry
Studentka2010 [4]

Answer:

D 45.6 Square centimetres

Step-by-step explanation:

8 cm time 5.7 cm

8 0
2 years ago
Denise bought a box of 560 pieces of candy.4/5 of the pieces of the candy were fruity and 1/4 of the remaining pieces of candy w
Liula [17]

Answer:

<em>Number of Other flavor candy is 84.</em>

Step-by-step explanation:

Given that

A total of 560 pieces of candy are there in the box.

\frac{4}{5} of the pieces are fruity.

Number of Fruity pieces:

\dfrac{4}{5} \times 560\\\Rightarrow 4 \times 112 =448

Now, remaining pieces = Total pieces - Fruity pieces

remaining pieces = 560 - 448 = 112

Also given that \frac{1}4 of the remaining pieces are mind.

Number of mint pieces:

\dfrac{1}{4}\times 112 = 28

Other flavors remaining = Total pieces - Fruity pieces - Mint pieces

Other flavors remaining = 560 - 448 - 28

Other flavors remaining = 112 - 28 = <em>84</em>

<em>Number of Other flavor candy is 84.</em>

8 0
2 years ago
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