1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘

3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=

Answer:

d=17

Step-by-step explanation:

Negative and Negative adds up to a Positive so...

d + 2 = 19

19-2=17

d=17

[tex]y=x^2-4x+6\\y'=2x-4[/tex]

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

Answer:

D

Step-by-step explanation:

Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis.  This line crosses the y-axis of (0, 0).  This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line.  Pick two points from the line.  It doesn't matter which ones, you will get the right answer regardless.  

I picked (0, 0) and (-3, 2).  Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3  (x)

2 - 0 = 2  (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

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:

r=99

Step-by-step explanation:

Answer:

2) 76

3)  64

Step-by-step explanation:

The area of the triangle P’Q’R’ is 384 square units

The formula for calculating the area of a triangle is expressed as:

If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:

Area of the triangle P’Q’R’ = 0.5(24)(32)

Area of the triangle P’Q’R’ = 384 square units

Hence the area of the triangle P’Q’R’ is 384 square units

Learn more on area of triangles here: https://brainly.com/question/17335144

Answer:

$13.41

Step-by-step explanation:

maybe, I'm not that sure :/

btw you can, can you please mark me brainliest :)

Answer:

Yes

Step-by-step explanation:

Based on the information provided we can say that Yes, this is enough evidence to support her claim. Since the 50 students were randomly selected and the physical education criteria applies to all of the students in that grade range then these 50 students perfectly represent the total population. That being the case, the results gathered to show that with a standard deviation of 55 minutes some students are surpassing the requirement by very little but others are falling very far from that requirement. When it is a requirement for all of the students in that grade range. Therefore, it is enough to support her claim.

Answer:

Milla's account would earn $63 more that Gino's account after 1 year.

Step-by-step explanation:

Both Gino and Milla made an initial deposit of $6300.

Principal = $6300

Gino's rate = 2% = 0.02

Milla's rate = 3% = 0.03

number of years = 1

Interest = Principal x Rate x Time

So that,

for Gino;

Interest = 6300 x 0.02 x 1

            = 126

The interest on Gino's savings after a year is $126.

for Milla;

Interest = 6300 x 0.03 x 1

             = 189

The interest on Milla's savings after a year is $189.

Milla's interest - Gino's interest = 189 - 126

                                                   = 63

Milla's account would earn $63 more that Gino's account after 1 year.

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.

If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,

H² = P² + B²

Let's check the second option, then we have

(√17)² = 3² + (√8)²

17 = 9 + 8

17 = 17

Thus, the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

34 customers.

Step-by-step explanation:

57-23=34

Answer:

x < 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

3x + 1 < 10

Step 2: Solve for x

Here we see that any value x smaller than 3 would work as a solution to the inequality.

Answer:

what are the shipping costs?

Answer:

the answer is A. 4.50

Step-by-step explanation:

Answer:

1222

Step-by-step explanation:

sorry youve been waiting a minute

Answer:

1.  32  2. You got that one correct 3.  1  5/34

Step-by-step explanation:

1. 24 / 3/4

3/4 = .75

24/ .75 = 32

3. Turn into improper fraction

13/4 / 17/6

= 1  5/34

Hope this helps dude

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Answer: 9/10 of the book.

Step-by-step explanation:

1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.

1/6 = 5/30

2/5 = 12/30

1/3 = 10/30

2. Add the fractions together to find the whole amount of the book Joyce has read.

5/30 + 12/30 + 10/30 = 27/30

3. Simplify

27/30 -> 9/10

Step-by-step explanation:

1/6 + 2/5 +1/3=

nominator × with the other fraction denominator+ second fraction nominator × with first denominator / denominator ×denominator =

1/6+2/5= 1×5+2×6/6×5=5+12/30=17/30

17/30+1/3=,17×3+1×30/30×3=51+30/90=,81/90

now let's try to simplify it.

81/90 by 9=9/10

Answer: 40320

Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.

The number of ways for the children sit will be 40,320.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eight children sit together at story time.

And, Seven children sit in a circle and one child sits in the middle to tell the story.

Now,

Since, There are 8 students.

Hence, The number of ways for the children sit = 8!

                                                                          = 40,320

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

C.) -3/2

Step-by-step explanation:

To find the slope you need to use the formula: m = y2 - y1/x2 - x1

Point: (-2,1) and (2,-5)

m = y2 - y1/x2 - x1

m = -5 - 1/2 - (-2)

m = -6/2 + 2

m = -6/4

m = -3/2

Answer:

angle 1

Step-by-step explanation:

it looks the biggest of all

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

Answer:

A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question