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3 years ago

How do you solve for x when you have this problem below please explain !!

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

Corresponding angles are congruent.

So,

Angle 6x+4° and 100° will be congruent or equal

$6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16$

Hence,

The value of x is 16

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Consider a bag containing four red marbles, three green ones, one transparent one, three yellow ones, and three orange ones.

Otrada [13]

Answer: 21

Step-by-step explanation:

Given : Number of red marbles = 4

Number of green marbles =3

Number of transparent marbles =1

Number of yellow marbles =3

Number of orange marbles =3

If we want to count the sets of five marbles are there in which none of them are red or green, the we exclude green and red marbles from the total marbles.

i.e. Total required marbles = 1+3+3=7

Now, the number of possible sets of five marbles are there:-

$^7C_5=\dfrac{7!}{5!(7-5)!}=\dfrac{7\times6\times5!}{5!2!}=21$

Hence, the number of possible sets of five marbles =21

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3 years ago

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Answer:

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3 years ago

if the first 15 sandwiches sold at a restaurant one day, 9 were club sandwiches. at the same rate, how many sandwiches would hav

MaRussiya [10]

Answer:

54 I think

Step-by-step explanation:

I just did 15 divided by 9 and got 5/3 and then did 90 divided by 5/3 and got 54

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3 years ago

Which term is correct when simplifying √128? A.) 16 B.) 12 C.) 10 D.) 8√2

alina1380 [7]

When dealing with roots, we want to factor to see if it's possible

$128 = 2 \times 64$
$= 2 \times 2 \times 32$
$= 2 \times 2 \times 2 \times 16$
$= 2 \times 2 \times 2 \times 2 \times 8$
$= 2 \times 2 \times 2 \times 2 \times 2 \times 4$
$= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$

now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..
$= (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times 2$

now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..
$= 2 \times 2 \times 2 \times \sqrt{2}$

now simply multiply
$8 \sqrt{2}$

3 0

3 years ago

4. The figure represents a ramp. Find the height of the ramp.

IgorLugansk [536]

Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem, $a^2+b^2=c^2$ . Then $15^2+b^2=17^2\implies 225+b^2=289\implies b^2=64\implies b=8$ , d. 8 m

3 0

3 years ago

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How do you solve for x when you have this problem below please explain !!​

How do you solve for x when you have this problem below please explain !!