Solve for the variable! 4 questions! Need to turn it in soon so ASAP!
Please show your steps! Thank you!

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

Answer:

it has infinitely many solutions

Step-by-step explanation:

hope it help bro

Answer:

d

Step-by-step explanation:

Let the number of questions on the test equal X which would be 100%

They answered 86 which equaled 98

Set up a ratio:

X/86 = 100/98

Cross multiply:

98X = 8600

Divide both sides by 98:

X = 87.75

Round to 87 questions

Answer:

1) the baseball will take approx 0.514 seconds to move 18 meters.

35/1 = 18/x

x = 0.514s

2)  the car's average speed is 60 km per hour.

870/14.5 = x/1

x = 60h

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

-3+-3+2= -4

-3x + -4

Answer:

y=3

Step-by-step explanation:

1/4 = 3/12

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 s in order to win.

Step-by-step explanation:

Hopes this helps

Answer:

less than or equal to 9.74.

Answer:

D.

Step-by-step explanation:

Answer:1.07

Step-by-step explanation:

Answer:

its 6,7 just make it right if im wrong

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

Answer:

1.9444444 is the answer or 35/18

Step-by-step explanation:

Answer:

10/3 or 3 (1/3)

Step-by-step explanation:

I used a calculator sorry i don't know how to explain it

Answer:

82

Step By Step Explanation:

I would have choose 86 but there is no 86 since 82 is closer I choose it.

A full angle equals 180 so 180-94=86.

Hopes This Helps

Answer:

Step-by-step explanation:

48 times for the green fabric

32 for blue

Answer:

Step-by-step explanation:

Let the required distance be x.

We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.

Use trigonometry:

Answer:

40 + 12i

Step-by-step explanation:

note that i² = - 1

2i(4.5 - 20i) + 3i ← distribute parenthesis by 2i

= 9i - 40i² + 3i

= 9i - 40(- 1) + 3i

= 9i + 40 + 3i

= 40 + 12i

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph

Answer:

The area is 27

Step-by-step explanation:

Area =1/2 [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Area =1/2 [2(-6 - 8) + 3(8 - 4) + 7(4 + 6)]

=1/2 [2(-14) + 3(4) + 7(10)]

=1/2 (-28 + 12 + 70)

=1/2 (54)

Area = 27

Answer:

You don't subtract 2x from each side, you add 2x to each side

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!

Answer:

d option

Step-by-step explanation:

(d) option is true, as 0.969 is greater than 0.967.

Rest all options are false.

Hope it helps :)

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945

Answer:

[tex]x=\frac{5}{3}[/tex]

Step-by-step explanation:

Brainliest pls?