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4 years ago

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.

Mathematics

2 answers:

Hitman42 [59]4 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

We need to remember that vertical angles are opposite to each other when two lines cross. The vertical angles that result from two lines crossing have the same measure.

In this problem we have angle E which measures 8x + 8 and angle F which measure 2x + 38.

Since they are vertical angles, we know that they have the same measure and therefore we can equal them both and solve for x:

$8x+8=2x+38\\8x-2x=38-8\\6x=30\\x=5$

Therefore, x = 5 (and ∠E = ∠F = 48)

konstantin123 [22]4 years ago

4 0

Set the two measures equal to each other. Subtract 2x from both sides and subtract 8 from both sides. Leaving you with 6x=30. Then divide 30/6 and you get X=5

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3 years ago

Say you're playing three-card poker; that is, you're dealt three cards in a row at random from a standard deck of 52 cards. What

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Answer:

Step-by-step explanation:

Given

There are 52 cards in total

there are total of 13 pairs of same cards with each pair containing 4 cards

Probability of getting a pair or three of kind card=1-Probability of all three cards being different

Probability of selecting all three different cards can be find out by selecting a card from first 13 pairs and remaining 2 cards from remaining 12 pairs i.e.

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For second card we have to select from remaining 12 pairs i.e. 48 cards and so on for third card.

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3 years ago

Simplify the following leave the answer in radical notation:

Nataliya [291]

Answer:

1- 5xy³√5y

2- 2xy²∛3y²

Step-by-step explanation:

√125x²y^7=

√25*5x²y^6y

5xy³√5y

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3 years ago

Someone help please!!!

Sati [7]

Answer:

y intercept = -5 

slope= 4 

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

 

SO THATS HOW WE ARRIVED AT -5 AND 4.

 WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

4 0

3 years ago