What must be true for lines a and b to be parallel lines? Select two options.

A) mAngle1 = (4 x minus 10) degrees
B) mAngle2 = 58Degrees
C) x = 20
D) (3 x minus 1) degrees equals = (4 x minus 10) degrees
E) Angle1 = 58Degrees

Answer:

1st and 3rd options

Step-by-step explanation:

substitute the coordinates of each point into the left side and compare answer to right side.

(0, 2 )

2(2) - 0 = 4 - 0 = 4 > 1 ← solution

(8, [tex]\frac{1}{2}[/tex] )

2([tex]\frac{1}{2}[/tex] ) - 8 = 1 - 8 = - 7 < 1 ← not a solution

(- 6, 3 )

2(3) - (- 6) = 6 + 6 = 12 > 1 ← solution

(- 7, - 3 )

2(- 3) - (- 7) = - 6 + 7 = 1 ← not a solution

Answer:

Step-by-step explanation:

hypotunes isnt involved(as the length inst given and we know it is hypotunes as it is the oppisite direction from the right angle)

so sohcahtoa

therefore ir toa

tan(x)=o/a

(tan inverse)tan^-1=34/54

oppisite= 34 as it is oppisite to teh angle your trying to find

and the adjacent is beetwen the right angle and the angle your mesuring

The angle x is 32.2° which is opposite to the side perpendicular of the length 34.

Right angled triangle:

A right angle triangle have one angle as right angle, the side opposite to the right angle is called hypotenuse and the side on which angle 90 degree is created is called base. The third side is called perpendicular.

Here we have given that

Perpendicular = CD = 34

Base = BC = 54

If we apply tan on this triangle we will find the relation between angle B, CD and BC.

we know that

tan x = [tex]\frac{perpendicular}{base}[/tex]

Using tan into our given triangle we have

[tex]tanx=\frac{CD}{BC}[/tex]

[tex]tanx=\frac{34}{54}[/tex]

[tex]tanx=0.629629[/tex]

[tex]x=tan^-1(0.629629)\\\\x=32.2[/tex]

Hence the final answer is 32.2°

Learn more about right angle triangle here -

https://brainly.com/question/1248322

#SPJ2

Step-by-step explanation:

If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.

and if it has no solutions (lines are parallel), then it is inconsistent.

I think that information can be easily found on the internet.

so, the first one on the left is consistent independent. it has a unique solution at (-2, 1). the solution is always the crossing point of the lines.

the middle system is consistent dependent. both lines are identical, and so we have infinite many "crossing points" or solutions.

the right system is inconsistent, as 2 parallel lines have no solution at all.

Short leg be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow P^2+B^2=H^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+(x+5)¥2=(2x+1)^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+x^2+10x+25=4x^2+4x+1[/tex]

[tex]\\ \rm\Rrightarrow 2x^2+10x+25=4x^2+4x+1[/tex]

[tex]\\ \rm\Rrightarrow 4x^2-2x^2+4x-10x+1-25=0[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-6x-24=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-3x-12=0[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm\sqrt{9+48}}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm \sqrt{57}}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm 7.2}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=1.5\pm 3.6[/tex]

Take positive

[tex]\\ \rm\Rrightarrow x=1.5+3.6=5.1[/tex]

6.5 meters is the answer, i know because i answered the same question on a quiz, i just guessed so i don't really have an explanation on why.

Answer:

2162 cm²

Step-by-step explanation:

the area of shaded gray = the area of the big rectangle-the area of the small rectangle

= 42×63-22×22

=2646-484

=2162 cm²

Answer:

Amelie read 30 pages of a book. She read 15 of the pages on Monday. How many pages did she read on Monday is the answer.

None of the above

Volume:-.

[tex]\\ \tt\longmapsto V=LBH[/tex]

[tex]\\ \tt\longmapsto V=8(15)(4)[/tex]

[tex]\\ \tt\longmapsto V=480yd^3[/tex]

Answer: x = 157

Step-by-step explanation:

[tex]1056=6\left(x+19\right)[/tex]

Switch sides:

[tex]6\left(x+19\right)=1056[/tex]

Divide both sides by 6:

[tex]\frac{6\left(x+19\right)}{6}=\frac{1056}{6}[/tex]

Simplify:

[tex]x+19=176[/tex]

[tex]x+19-19=176-19[/tex]

[tex]x=157[/tex]

Answer:

x < 5/2

Step-by-step explanation:

−4x + 5 > −5

4x + 5− 5 > −5 −5

−4x > −10

−4x/−4 > −10/−4

x < 5/2

Answer:

x = 7 , y = 12

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

consider left side

[tex]6^{\frac{1}{3} }[/tex] × [tex]6^{\frac{1}{4} }[/tex]

= [tex]6^{(\frac{1}{3}+\frac{1}{4}) }[/tex]

= [tex]6^{(\frac{4}{12}+\frac{3}{12}) }[/tex]

= [tex]6^{\frac{7}{12} }[/tex] = [tex]6^{\frac{x}{y} }[/tex] , comparing exponents , then

x = 7 and y = 12

Answer:

Step-by-step explanation:

Plugin j = 5  and k = 3 int he expression,

4.7j - 6.8k = 4.7*5 - 6.8*3

                 = 23.5 - 20.4

                  = 3.1

Answer:

I'd say 1/16

Step-by-step explanation:

but honestly it'd be more like 1/10,000. There's so many options. SORRY  if you get this wrong!

Answer:

First we must learn to dissect a question.

Part 1

We can list our facts first:

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

[tex]6.5 \times 1.5 = 9.75 \: teaspoons[/tex]

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

[tex]9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp[/tex]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

Answer:

y=mx+b

y=x+3

Step-by-step explanation:

m: 1 (rise over run by 1)

b: 3

The number of bats that there would be in 2021 would be 768,000.

The formula that can be used to determine the future value of bats in 2021 is:

FV = P (1 + r)^n

Where:

3000(1 + 3)^4

3000 x 4^4 = 768,000

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

Monday

Step-by-step explanation:

Sophie tells truth on Monday, Tuesday, Wednesday, and Thursday. Mary tells truth on Monday, Friday, Saturday, and Sunday. Yesterday is the Sunday so Monday is the answer.

PLEASE MARK ME AS BRAINLIEST

Answer:

there ya go if u need a clearer photo or a photo of showing tour work lmk:)

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

101

Step-by-step explanation:

The leftover weight that can be put onto the container (x)

x = 24500 - 12300

x = 12200

The amount of crates that can be hauled into the container

x = 12200 / 120

= 101.6667

We need a whole number so we round down.

= 101

:)

Answer:

i believe it would be your whole number

Answer:

-35

Step-by-step explanation:

Hope this helped! Have a nice day!

Please give brainliest when possible!

:3

Answer:

see explanation

Step-by-step explanation:

1

[tex]\frac{2}{3}[/tex] x - 4 = 20 ( multiply through by 3 to clear the fraction )

2x - 12 = 60 ( add 12 to both sides )

2x = 72 ( divide both sides by 2 )

x = 36

2

4 = [tex]\frac{-1+x}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

8 = - 1 + x ( add 1 to both sides )

9 = x

3

12(x + 9) = - 108 ( divide both sides by 12 )

x + 9 = - 9 ( subtract 9 from both sides )

x = - 18

4

5x + 14 = - 7 ( subtract 14 from both sides )

5x = - 21 ( divide both sides by 5 )

x = - [tex]\frac{21}{5}[/tex] = - 4.2

Answer:

10 units hope this helps!!!!!!!

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

because it is an equilateral triangle