Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees

Answer:

∠ c = 29°

Step-by-step explanation:

∠ b = 97° ( vertical angles are congruent )

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

∠ c + 54° + 97° = 180°

∠ c + 151° = 180° ( subtract 151° from both sides )

∠ c = 29°

Answer:

$962.0

Step-by-step explanation:

The formula for amount is ;

[tex]A=P(1+\frac{r}n} )^{nt}[/tex]

where

A= amount at the end of the period= $2000

P=minimum amount necessary to fund the payments

r= annual interest rate = 5% = 0.05

n= number of compounding per year , 1

t= time period = 15 years

Applying the values to the formula as;

[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]

Answer:

Around 300 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

x2 - 49

Both are squares so

Square root (x2) - Square root (49)

= x - 7

The other two answers are x - 3 and x - 4

Answer:

Use the formula (x-a)(x+a)=x^2 - a^2

so what is the square root of 49, 9, and 16? By finding the square root you get a, and you can just plug it into the formula. For example the first one, 7 is the square root of 49. So, (x-7)(x+7)

Answer:

C is the answer

Hope I helped

Answer:

53 seats per row

Step-by-step explanation:

Given that:

Capacity = 1855

Let number of rows = x

Hence, Number of seats per row = x + 18

The Area of auditorium = capacity

Area of rectangle = Length * width

1855 = x * (x + 18)

1855 = x² + 18x

x² + 18x - 1855 = 0

x² + 53x - 35x - 1855 = 0

x(x + 53) - 35(x + 53) = 0

(x - 35) = 0 or (x +53) = 0

x = 35 or x = - 53

Hence x = 35 ; (x can't be negative)

Number of seats per row = 35 + 18 = 53

Using a quadratic equation cal

Answer:

C those who vote for the ballot tend to be from district 2

Answer:

$

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 9 - 6n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = - 6 , thus

[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n

Answer:

A is correct

Step-by-step explanation:

2 ^-3 is equal to 0.125

A is also equal to 0.125

Noooooo wayssssssss

I wontttttttt

2= 15x-35+20y

3= 4(4x-3)

4= 6(6x-1)

5= 24x-109

6= 7.5x+20y

Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

Answer:

You keep the inequality sign.

Step-by-step explanation:

Please mark brainliest.

Answer: you would keep the sign

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ6

Answer:

What type of math is this

Step-by-step explanation:

algebra?

Answer: 4 feet

Step-by-step explanation:

Answer:

A. -1/5

B. 8 gallons

C. 75 miles driven

Step-by-step explanation:

Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.

Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.

Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.

Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

Answer:

Subtract 7 from 12.

Step-by-step explanation:

Answer:

subtract 7 from both sides.

5x = 5

x = 1

Answer:

Step-by-step explanation:

5x + 40x + 40x + 31 = x + 7

85x + 31 = x + 7

Bringing like terms on one side

85x - x = 7 - 31

84x = - 24

x = - 24/84 = 2/7

Answer:

= .00963

Step-by-step explanation:

Move the decimal 3 places to the left.

= .00963

Answer:

y = 1/3x + 4

Step-by-step explanation:

Make it into slope intercept form

3y = x + 6

y = 1/3x + 2

parallel = same slope

y = 1/3x + b, plug in (3,5)

5 = 1/3(3) + b, b = 4

y = 1/3x + 4

Answer:

21

Step-by-step explanation:

First we do the problem inside the (), 3 x p = 9, 6 x r = 12, 9 - 12 = -3.

Now we do the problem outside of the (), -3 x -3 equals 9 because 2 negatives make a positive. Then we add 9 to 12 to get 21 :D

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

Answer:

its b my guys :)

Step-by-step explanation:

Answer:

It's b

Step-by-step explanation:

hop it help