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NNADVOKAT [17]
3 years ago
12

Help me please please

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

a)

  • EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}

b)

  • EG² = GH*GF
  • EG² = 4*12
  • EG² = 48
  • EG = √48 = 4√3
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At a high school movie night, the refreshments stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 6
Olenka [21]

Answer:

47% and 62%

Step-by-step explanation:

1. Drink

The probability that a student buys a drink is 0.47

Step-by-step explanation:

The probability that a student buys a drink will be given by;

( the number of students who bought a drink)/(the total number of students)

We are told that;

Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. Therefore, the required probability is;

47/100= 0.47

0.47 = 47%

2. Popcorn

For popcorn probability, it's basically the same.

The probabilty that a student buys popcorn is 0.62

The probability that a student buys popcorn will be given by;

( the number of students who bought popcorn)/(the total number of students)

So therefore,

62/100 = 0.62

0.62 = 62%

3 0
4 years ago
I'm confused on simplifying square roots and rationalizing the denominator
sweet [91]
5) \ \  \sqrt{175} =  \sqrt{25*7}= \sqrt{25} \sqrt{7}=   5 \sqrt{7}  \\  \\  \\ 7) \ \   \cfrac{2}{ \sqrt{3} }= \cfrac{2* \sqrt{3} }{ \sqrt{3}* \sqrt{3}  }= \cfrac{2 \sqrt{3} }{ 3}
6 0
3 years ago
Which equation represents the line that passes through the points (6,3) and is parallel to y=1/2x+8
Dima020 [189]

Answer:

y = \frac{1}{2} x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{2} x + 8 ← is in slope- intercept form

with slope m = \frac{1}{2}, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (6, 3) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = \frac{1}{2} x ← equation of parallel line

5 0
3 years ago
In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two tr
Deffense [45]

XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.

Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.

Condition to be determined that proves triangles to be congruent by HL.

<h3>What is HL of triangle?</h3>

HL implies the hypotenuse and leg pair of the right-angle triangle.

Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.

Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.

Learn more about HL here:

brainly.com/question/3914939

#SPJ1

In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?

A.

XZ ≅ EG and ∠X ≅ ∠E

B.

XZ ≅ EG and YZ ≅ FG

C.

XZ ≅ FG and ∠X ≅ ∠E

D.

XY ≅ EF and YZ ≅ FG

8 0
2 years ago
Helpp me please
ad-work [718]

Answer:

  • 1) d
  • 3) a

Step-by-step explanation:

<h3>#1</h3>
  • a) equation
  • b) one variable
  • c) one variable
  • d) linear inequality in 2 variables, t and r
<h3>#2</h3>
  • No graph is displayed
<h3>#3</h3>
  • a) <   less than
  • b) >   more than
  • c) ≤   less than or equal
  • d) ≥   more than or equal
3 0
3 years ago
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