MATHEMATICS HIGH SCHOOL

Using the following image, if you EG = 59, what are x, EF, and FG.

Answers

Answer 1

Answer:

Answer:

$x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units$

Step-by-step explanation:

Given: $EG =59 \,\,units$

To find: $x,EF,FG$

Solution:

From the image, $EG=EF+FG$

Put $EF=8x-14\,,\,FG=4x+1\,,\,EG=59$

$8x-14+4x+1=59\n12x-13=59\n12x=59+13\n\n12x=72\nx=(72)/(12)=6$

$EF=8x-14=8(6)-14=48-14=34\nFG=4x+1=4(6)+1=24+1=25$

Therefore,

$x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units$

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What’s the triangle congruence shortcut

Answers

Answer:

Side-Side-Side [SSS]

Step-by-step explanation:

You know this since the little bars sticking outside of the triangle show that those 2 lines are congruent. Then you know of one line being the same for both, so you then know all of the sides. And since all of the side lengths are equal, this triangle is congruent by Side-Side-Side.

Find the maximum value of x+y given thatx>=-3
y>=5x-9
3x+y<=15

Answers

x ≥ -3
y ≥ 5x - 9
3x + y ≤ 15

3(-3) + (5x - 9) ≤ 15
    -9 + (5x - 9) ≤ 15
    (-9 - 9) + 5x ≤ 15
   -18 + 5x ≤ 15
   + 18    + 18
   5x ≤ 33
      5 5
   x ≤ 6.6
     y ≤ 5(6.6) - 9
   y ≤ 33 - 9
   y ≤ 24
   (x, y) ≤ (6.6, 24)

Corresponding angles form when a transversal intersects with two parallel lines.True
False

Please help

Answers

Answer: True

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.

Cosine, tangent, and sine (topic) how do you solve this (work shown please)

Answers

Sine θ = $(opposite)/(hypotenuse)$
Cosine θ = $(adjacent)/(hypotenuse)$
Tangent θ = $(opposite)/(adjacent)$

∴ $Sin x = (e)/(f)$
$Cos x = (d)/(f)$
$Tan x = (e)/(d)$

What is 12x4.6 explained and evaluated

Answers

Sure, let's break it down:

1. Take the whole number part (12) and multiply it by 4.6, which equals 55.2.
2. Next, take the decimal part (0.6) and multiply it by 12. 0.6 multiplied by 12 equals 7.2.
3. Add the results from step 1 and step 2 to get the final answer.

So, 12 multiplied by 4.6 is evaluated as 55.2 + 7.2, which equals 62.4.

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which of the statements below best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete? A. The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount. B. The graph will be continuous because we are not told a maximum value for the amount of gas. C. The graph will be discrete because there are already exactly 4 gallons of gas in the tank.

Answers

A. The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

"The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount" is the statement that best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete. The correct option is option "A".

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