1) In the figure below, m_2 = 60°. Find the measure of each angle. Write which postulate(s) or
theorem(s) you used.
a ) angle 1
b) angle 2
c) angle 8 ​

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60

Answer:

13 cm

Step-by-step explanation:

just took the test

Answer:

Interior angles are congruent.

Step-by-step explanation:

We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.

Angles 3,6 are opposite and do not share the same vertex.

Similarly angles 4 and 5 do not share the same vertex.

They are congruent.

If we look closely we see that angles 3 &4  and angles 5&6 are supplementary angles.

i.e they together make up the 180 degrees on the straight line.

On  the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles

which also make supplementary angles on the parallel lines.

From the diagram we see that

∠ 5= ∠7  

and

∠6 = ∠ 8

as the corresponding angles are equal

∠8=∠3

∠7=∠4

As they are opposite angles

Similarly

∠1=∠6

∠2=∠5  ( opposite angles)

From above

∠5=∠7

but ∠7= ∠4

therefore

∠ 5= ∠4-----------------A

Also

∠6 = ∠ 8

but ∠8=∠3

therefore

∠6=∠8----------------------B

From An and B we conclude  interior angles are congruent

Answer:

The probability of rolling the die once to get a four is 1/6

Step-by-step explanation:

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Brainliest?

Answer:

-1=x-2

-1+2=x

x=1

Step-by-step explanation:

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Answer:

yeah i gotta see the others

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

Answer:

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

Answer:

1. y = 6x + 8

2. 4 hours.

Step-by-step explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.

Answer:

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = [tex]\sqrt{12}[/tex]

As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.

By this formula , we can get,

[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]

[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

This is the answer.

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

Answer:

y^7

Step-by-step explanation:

y^3 . y^5 . y^-2 . y

= y^3 . y^5 . y^-2 . y^1

= y^( 3 + 5 - 2 + 1 )

= y^( 3 + 5 + 1 - 2 )

= y^( 9 - 2 )

= y^7

Answer:

70/2

Step-by-step explanation:

We have a population of 200 people

Growth rate = 2%

How long it will take for the population to double

Double the population = 2× 200 = 400

The formula for Exponential growth =

y = a(1 + r)^t

y = Value at time t = 400

a = Initial value = 200

r = 2% = 0.02

t = ?

Hence:

400 = 200 ( 1 + 0.02)^t

Divide both sides by 200

400/200 = 200 ( 1 + 0.02)^t/200

2 = (1.02)^t

Take logarithm of both sides

log 2 = log(1.02)^t

log 2 = t log 1.02

t = log 2/log 1.02

t = 35.003417942

Approximately t = 35

We have so many formula to calculate doubling time

t = 70/Growth rate

From the above question

Growth rate = 70/2%

= 35

Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2

Answer:

See attached

Step-by-step explanation:

See reflected image in the attached picture

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]

Calculate the sum or difference=  [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]

Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]

                                                     = [tex]\frac{81}{18 * (14 + 4)}[/tex]

                                                     =[tex]\frac{81}{18 * 18}[/tex]

Calculate the product or quotient = [tex]\frac{81}{324}[/tex]

Cross out the common factor = [tex]\frac{1}{4}[/tex]

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Learn more about probability  brainly.com/question/743546

#SPJ2

Answer:

1) $15 more

2) Formula: 1/2 (2+5) 10

Area: 35

Step-by-step explanation:

1) 30-15=15

2) 1/2 (2+5) 10 = 35

Answer:

75%

Step-by-step explanation:

We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.

To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.

[tex]\frac{9}{12}[/tex]

Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :

[tex]\frac{9/3}{12/3}[/tex]

[tex]\frac{3}{4}[/tex]

Divide 3 by 4 :

[tex]3/4 = 0.75[/tex]

Multiply 0.75 by 100 to get our percentage :

[tex]0.75 * 100 = 75[/tex]%

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

Answer:

$2350

Step-by-step explanation:

Let Jade's total income be X

Therefore,the tax deducted was 24%x

Forming an equation:

X= 24%x + 1786

X = 0.24x + 1786

Collecting like terms

x - 0.24x = 1786

0.76x =1786

x= 1786 ÷0.76

X= $2350

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

Answer:

sorry I can only answer no.3

[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]

Answer: 30 meters

Step-by-step explanation:

Volume of a cylinder = πr^2h

2,827.43 = πr^2(4)

2,827.43 = 3.14(4)r^2

2,827.43 = 12.56*r^2

2,827.43/12.56 = (12.56*r^2)/12.56

225.11 = r^2, find square root of both sides

r = 15

diameter = 30

Answer:

a

Step-by-step explanation:

.

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

When the hour hand is on (1), then the time is "after"

When the hour hand is on (2), then the time is "before"

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

There are 5 significant figures.

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome