In the diagram, the measure of angle 5 is (10x -9), and the measure of angle 7 is (9x)". What is the measure of angle 6, to
the nearest degree?
What is the measure of angle 6, to the nearest degree?
81 degrees
90 degrees
99 degrees
105 degrees

The right answer is Option C: 3 units

Step-by-step explanation:

Given coordinates are;

A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2).

For finding length of CD, we will find the distance between C and D.

C(-5,1) and D(-5,4)

Here;

[tex]x_1=-5, y_1=1\\x_2=-5, y_2=4[/tex]

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]Distance=\sqrt{(-5+5)^2+(4-1)^2}\\Distance=\sqrt{(0)^2-(3)2}\\Distance=\sqrt{(3)^2}\\Distance = 3[/tex]

Therefore;

The length of CD is  units.

The right answer is Option C: 3 units

Answer:

2

Step-by-step explanation:

You have the right equation.

p(x) = 0.586041x - 3,200,000

3200000 of course represents the deduction from the loan

0.586041 - this number represents the amount of money left after taxes (58.6041% of the total is left)

We get this by taking into account all the taxes on top of another...

35% federal tax = 65% left

35% federal tax and 8% state tax = 65% x 92% left

35% federal tax and 8% state tax and 2% local tax = 65% x 92% x 98% left = 58.6041%

To get the profit plug in the given taxable income for x.

p(6775989) = 0.586041(6775989) - 3,200,000 = $771,007.37 approx.

answer: $771,007.37 approx.

Answer:

20-8 = 12 , he waste $12 if he got 4 cans 12 divide by 4 equal 3 so the one can cost $3

Step-by-step explanation:

The number of boys in the schools is 104.

Step-by-step explanation:

Given,

The ratio of boys and girls is 8:9

Number of girls = 117

Let us take,

Number of boys = 8x

Number of girls = 9x

To find the number of boys.

According to the problem,

9x = 117

or, x = [tex]\frac{117}{9}[/tex]

= 13

Hence, the number of boys = 13×8 = 104

Answer:

18 servings

Step-by-step explanation:

Because 6 divided by 1/3 is the same as 6*3, we can just do it that way so it makes more sense.

6*3= 18

And there you have your answer!

Answer:

SU = 26 meters

Step-by-step explanation:

Based on the definition of a parallelogram, we know that the diagonals bisect each other, so we know that:

UV = VS

x + 3 = 2x - 7

10 = x

Now that we know "x", we can find the length of SU:

SU = x + 3 + 2x - 7

SU = (10) + 3 + 2(10) - 7

SU = 13 + 20 - 7

SU = 33 - 7

SU = 26 meters

Answer:♣ = Vertical angles theorem

♦ =SAS

♠ =CPCTC

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when you plug in 2,11

11 = 3*2 +5 that is correct

13 = 3*3 +5 that is not correct

only 2,11 works

Answer:

A. only (2,11)

Step-by-step explanation:

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

since [tex]\frac{5}{8}[/tex] has been completed

the remaining would be :

[tex]\frac{8}{8} -\frac{5}{8}[/tex]

since denominators are the same

= [tex]\frac{8 - 5}{8} \\\\[/tex]

= [tex]\frac{3}{8}[/tex]

the fraction of the race that is remaining is 3/8

Answer: C

it's C) 2/3

Answer:

C! X = 2/3

Step-by-step explanation:

Next part on edge is

(C) X=1

Answer:

There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.

Multiplying them you get: 13/52*13/51= 169/2652,

Then you divide both sides by 13 to get: 13/204

So, the answer is C.

I hope this helps!

The probability of drawing a club and then a diamond consecutively from the deck without replacement is 13/204.

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of cards = 52

Number of clubs = 13

Number of diamonds = 13

Now,

The probability of drawing a club.

= 13/52

And,

The probability of drawing a diamond consecutively from the deck without replacement.

= 13/51

[ There will be only 51 cards in total since we are not replacing ]

Now,

The probability of drawing a club and then a diamond consecutively from the deck without replacement.

= 13/52 x 13/51

= 13/4 x 1/51

= 13/204

Thus,

13/204 is the probability of drawing a club and then a diamond consecutively from the deck without replacement.

Learn more about probability here:

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Answer:

42

Step-by-step explanation:

I think it's 42 because 42/-6 is -7

Answer:

z = 42

Step-by-step explanation:

Given -7 = z/-6

Cross multiply

-7 x -6 = z

Negative times negative gives you positive.

42 = z

z = 42

Answer:

300

Step-by-step explanation:

Let the number be X

62/100 × X = 186

X = 186 × 100/62

X = 300

Answer: 62% of 300 is 186

Step-by-step explanation:

62% of x = 186

62/100 x = 186

0.62x=186

×=300

The answers to the blanks are

1. 600,

2. 120,

3. 120,

4. 180.

Explanation:

Answer:

a=5 and b=3

Step-by-step explanation:

a+b=8

okay, so the numbers that can make 8 are 4+4, 5+3, 6+2, and 7+1

Try 5+3

so plug them in

5+3=8

5*5=25

3*3=9

25-9=16

that's your answer

Answer: _(32)(16)=(4)/(5)

Step-by-step explanation:

Answer:y= -5

Step-by-step explanation:

-3(3)+4= -5

-3(3)= -9

-9 + 4= -5

Answer:

-5

Step-by-step explanation:

y = -3x + 4

If x = 3

Plug the value into the expression

We have

y = -3(3) + 4

= -9 + 4

= -5

Answer:

Step-by-step explanation:

Let the number be n.

Then:

99 + n > 199

if you wish to solve this, subtract 99 from both sides, obtaining n > 100

Answer:

12

Step-by-step explanation:

42+6=48

48/4=12

Answer:

Option B, i

Step-by-step explanation:

sqrt(-1) is i

Answer:  Option B, i

Answer: i got this square root(negative 1) =

i

Step-by-step explanation:

Answer: w= -9

Step-by-step explanation:

Set up an equation, 5 times a number is 5w, and 35 more, means plus 35. All of this is equal to -10, so the equation will be:

5w+35=-10

Subtract 35 from both sides

5w=-45

Divide by 5 on both sides

w= -9

Hope this helped!

Answer:

0.3333

Step-by-step explanation:

To convert 33.33% to decimal, simply divide 33.33 by 100.

Answer: 0.3333

Step-by-step explanation:

33.33% = 33.33 / 100 = 0.3333.

Since 100 has 2 zeros, you count the decimal point in 33.33 forward twice.

Answer:

The answer is 19

Step-by-step explanation:

Answer:so easy its 19 it's right i promise you

Answer:

f(4) = 11

Step-by-step explanation:

To evaluate f(4) substitute x = 4 into f(x)

f(4) = 3(4) - 1 = 12 - 1 = 11

Answer: multiplies

Explain: this is because exponentially is multiplication.

The table of exponential multiplies by the same amount each time to get to the next number.

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

In another meaning, an exponential function is that function above which a variable x has imposed.

For example [tex]3^{x}[/tex] , [tex]7^{x}[/tex] like that.

Let a general exponential function [tex]a^{x}[/tex] where a is constant.

Let x = 1,2,3,4,5....

At x = 1 ⇒ a¹ = a

At x = 2 ⇒ a² = a × a = previous numebr ×  (a)

At x = 3 ⇒ a³ = a² × a = previous number × (a)

So,

It is clear that in exponential function each term multiplies the same amount each time to get to the next number.

For more about exponential function,

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Answer:

x = [tex]\frac{ln(16)}{ln(2)}[/tex]

Step-by-step explanation:

[tex]4^{2x-1} =8^{x+2}[/tex]

ln both sides like you would add the same number to both sides to keep the equation equivalent

[tex]ln4^{2x-1} = ln 8^{x+2}[/tex]

using log rules, exponents can be brought down as a constant multiplying ln

[tex](2x-1)ln(4) =(x+2)ln(8)[/tex]

use distributive property to remove parentheses

2xln(4) - ln(4) = xln(8) + 2ln(8)

isolate x

2xln(4) - xln(8) = 2ln(8) + ln(4)

rewrite the logs using log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex]) and the exponent rule stated above

xln([tex]4^{2}[/tex])-xln(8) = ln([tex]\frac{8^{2} }{4}[/tex])

factor out x

x(ln[tex]4^{2}[/tex]-ln8) = ln([tex]\frac{8^{2} }{4}[/tex])

again use log rules:  ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex])

x* [tex]ln(\frac{4^{2} }{8}[/tex][tex])[/tex]=  ln([tex]\frac{8^{2} }{4}[/tex])

now simplify the stuff inside the ln parentheses

x*ln(2) = ln(16)

x = [tex]\frac{ln(16)}{ln(2)}[/tex]

Answer:

Perimeter = 63.9 cm.

Area = 166.96 cm^2 to the nearest hundredth.

Step-by-step explanation:

The perimeter = 16+20.9+27 = 63.9 cm.

To find the area you can use Heron's Formula.

Area = √ [ s(s-a)(s-b)(s-c)]  where  s = the semi-perimeter and a, b and c are the lengths of the 3 sides.

s = 63.9 / 2 =  31.95.

Area of the triangle = √ (31.95(31.95-16)(31.95-20.9)(31.95-27)]

 = 166.96 cm^2.

Answer:

40 passes

Step-by-step explanation:

we know that

Bobby catches 8 passes in 3 football games

so

using proportion

Find out how many passes does he  catch in 15 games

[tex]\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes[/tex]

Answer: 40 passes

Step-by-step explanation:

Hi, to answer this we have to use proportions:

Proportion = Passes catched/ football games

Bobby catches 8 passes in 3 football games: 8/3

For 15 games: x/15

8 /3 = x/15

Solving for x

(8/3)15 =x

40 = x

He catches 40 passes in 15 games.

Feel free to ask for more if needed or if you did not understand something.

Answer:

15

Step-by-step explanation:

2:3

X2 4:6

X5 10:15

Answer:

15 miles

Step-by-step explanation:

Divide 10 by 2, which equals 5. This gives you the amount of times she walks. Thus, if you multiply 3 miles times 5 (the amount of times she walks) it equals 15.

Two numbers multiply into (-24) and adds up to (-10) are 2 & -12

Step-by-step explanation:

Here we need to find two numbers , with the following info:

Let us assume that two numbers are x & y .

two numbers multiply into (-24):

Two numbers are x and y , and there multiply is -24 i.e.

⇒ [tex]x(y) = -24[/tex]

two numbers adds up to (-10):

Two numbers are x and y , and there addition is -10 i.e.

⇒ [tex]x+y = -10[/tex] . .............. (1)

Let's solve this :

We know that , [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]

⇒ [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]

⇒ [tex](-10)^2 = x^2 +y^2 +2(-24)[/tex]

⇒ [tex]100 = x^2 +y^2 -48[/tex]

⇒ [tex]x^2 +y^2 =148[/tex]

Now,

⇒ [tex](x-y)^2 = x^2 +y^2 -2xy[/tex]

⇒ [tex](x-y)^2 = (148) -2(-24)[/tex]

⇒ [tex](x-y)^2 = (148) +48=196 = 14^2[/tex]

⇒ [tex]x-y = 14[/tex]     .......... (2)

Let's solve equation 1 & 2 by adding (1)+(2):

⇒ [tex](x+y)+(x-y) = -10 +14[/tex]

⇒ [tex]2x=4[/tex]

⇒ [tex]x=2[/tex]

Putting value of [tex]x=2[/tex] in [tex]x-y = 14[/tex] :

⇒ [tex]2-y = 14[/tex]

⇒ [tex]y = -12[/tex]

Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.