Which statement is true about the transformation?

Answer:

a. m∠1 = 75°

b. m∠2 = 46°

c. m∠3 = 59°

d. m∠4 = 59°

e. m∠5 = 46°

f. m∠7 = 121°

g. m∠8 = 59°

h. m∠9 = 62°

i. m∠10 = 118°

j. m∠11 = 59°

k. m∠13 = 118°

i. m∠14 = 62°5

Example 5

m∠1 =78°

m∠2 = 102°

m∠3 = 59°

m∠4 = 102°

m∠5 =  38

m∠6 = 142°

m∠7 = 38°

m∠8 = 142°

m∠9 = 78°

m∠11 = 78°

m∠12 =  102°

m∠13 = 38°

m∠14 =  142°

Step-by-step explanation:

a. m∠1 ≅ m∠6 (Alternate angle theorem)

m∠1 = m∠6 = 75° (Definition of congruency)

m∠1 = 75°

b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

m∠2 ≅ m∠5 (Alternate angle theorem)

m∠2 = m∠5 = 46° (Definition of congruency)

m∠2 = 46°

c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)

m∠3 = 180 - (75 + 46) = 59°

m∠3 = 59°

d. m∠4 = 180 - (m∠1 + m∠5)

m∠4 = 180 - (75 + 46) = 59°

m∠4 = 59°

e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

f. m∠7 = m∠12 = 121° (Alternate angle theorem)

m∠7 = 121°

g. m∠8 = 180 - m∠7 = 180 - 121 = 59°

m∠8 = 59°

h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)

m∠9 = 180 - (59 + 59) = 62°

m∠9 = 62°

i. m∠10 = 180 - m∠9 = 180 - 62 = 118°

m∠10 = 118°

j. m∠11 = m∠8 = 59°

m∠11 = 59°

k. m∠13 = m∠10 = 118°

m∠13 = 118°

i. m∠14 = m∠9 = 62°

m∠14 = 62°

Example 5

m∠5 = m∠7 = 38

m∠5 =  38°

m∠6 = 180 - 38 = 142°

m∠6 = 142°

m∠8 = m∠6 = 142°

m∠8 = 142°

m∠12 = m∠10 = 102°

m∠12 =  102°

m∠11 = 180 - m∠12 = 180 - 102 = 78°

m∠11 = 78°

m∠9 = m∠11 = 78°

m∠9 = 78°

m∠1 = m∠9 = 78°

m∠1 =78°

m∠3 = 78°

m∠2 = m∠4 = m∠10 = 102°

m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°

m∠13 = 38°

m∠15 = 38°

m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°

m∠14 =  142°

m∠16 = 142°

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Sum of the interior angles of any triangle equal 180° .

Thus ;

[tex](x + 20) + 3x + 60 = 180[/tex]

[tex]4x + 80 = 180[/tex]

Subtract sides 80

[tex]4x + 80 - 80 = 180 - 80[/tex]

[tex]4x = 100[/tex]

Divide sides by 4

[tex] \frac{4}{4} x = \frac{100}{4} \\ [/tex]

[tex]x = 25[/tex]

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Answer: definitely x=25

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

4567

Answer100-80= 2x2x2x4:

Step-by-step explanation:

Answer:

Position = -5

Step-by-step explanation:

The number line is not shown, however the question can still be answered.

Given

Start Point: +2

Left Movement: 3.5cm and 7.9cm

Right Movement: 4.8cm

Required

Determine the Ant's position

To do this, we treat all left movements as negative and all right movements as positive.

So, we have:

Position = 2 - 3.5 - 7.9 + 4.8

Position = -4.6

Since the number line is spaced by 1cm, we have to approximate to the nearest integer.

Position = -5

Answer:

it would be b

Step-by-step explanation:

Answer:

h'(x)= [tex]e^{x^{9}+In(x) } (9x^{8} +\frac{1}{x} )[/tex]

Step-by-step explanation:

h(x)=[tex]e^{x^{9} +In(x)}[/tex]

first, we will use the chain rule

step1: we divide the function into two parts So,

f(x)=[tex]e^{x^{9} +In(x)}[/tex]   and  g(x)=[tex]x^{9} +In(x)[/tex]

step2: rewrite [tex]x^{9} +In(x)[/tex] as u.

f(x)=[tex]e^{u}[/tex]    and   g(x)=u

step3: differentiate f(x) first.

f'(x)=[tex]e^{u}[/tex]   (the formula is y=[tex]e^{x}[/tex] and y'=[tex]e^{x}[/tex] - the same)

step4: write the value of u for each function but now sub it in the differentiable form of f(x).

f'(x)=[tex]e^{x^{9}+In(x) }[/tex]  and g(x)=[tex]x^{9}+In(x)[/tex]

step5: differentiate the function g(x).

g'(x)=[tex]9x^{8} +\frac{1}{x}[/tex]

(for [tex]x^{9}[/tex] the formula is y=[tex]x^{n}[/tex] and y'=[tex]nx^{n-1}[/tex] ) (for In(x) the formula is y=In(x)  and y'=[tex]\frac{1}{x}[/tex] )

step6: use the chain rule to finish out So,

h'(x)=f'(x) × g'(x)

=[tex]e^{x^{9}+In(x) }[/tex] × [tex]9x^{8}+\frac{1}{x}[/tex]

step7: simplify.

h'(x)= [tex]e^{x^{9} +In(x)}(9x^{8}+\frac{1}{x})[/tex]

Answer:

D.  45/8

Step-by-step explanation:

The value of function g (7) is,

⇒ g(7) = 45/8

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

⇒ g(x) = 7/8x - 1/2

Now, Plug x = 7 in above equation,

⇒ g(x) = 7/8x - 1/2

⇒ g(7) = 7/8 (7) - 1/2

⇒ g(7) = 49/8 - 1/2

⇒ g(7) = 49/8 - 4/8

⇒ g(7) = 45/8

Thus, The value of function g (7) is,

⇒ g(7) = 45/8

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

If you multiply four negative numbers, what is the sign of the product? positive

If you multiply five negative numbers, what is the sign of the product? negative

Based on the answers to these questions and the product rules, write a general rule for the sign of the product based on the number of negative numbers in the expression.

even numbers of negative= positive

odd number equals= negative

Step-by-step explanation:

hope this helps

Answer:

if you multiply 4 negative numbers, sign of product is positive

if you multiple 5 negative numbers, sign of product is negative

Step-by-step explanation:

a negative times a negative is positive. to figure out the sign of a product, we can use -1 as an easy example.

[tex]-1*-1*-1*-1=1\\-1*-1*-1*-1*-1=-1[/tex]

Answer: -9

Step-by-step explanation:

When you plug in the numbers you get the equation 4* (-6) + 5*3

When you solve it out you get -24 + 15. This equals -9.

No, if you square an odd number and add one the result would be even but if you square an even number and add one, the result would be odd.

Answer:

no, let's say we're squaring 2.

Step-by-step explanation:

2^2 = 2 x 2.

2 x 2 = 4

4 + 1 = 5

5 isn't even.

Basically, squaring a number that is already even and adding one will equal and odd number.

Step-by-step explanation:

Please write complete question

Answer:

lol u gotta put the thing first bro

Step-by-step explanation:

Answer: I hope you understand, just mutiply whatever x is by 11 to get Y

Step-by-step explanation:

x = unknown number

9x+2x= 11x

Y=11x

Answer:

0.2143

Step-by-step explanation:

Let A be the event denote that getting into a car accident and B be the event denote being a texter-and-driver.

Thus, P(A)=0.04, P(B)=0.14.

P(A or B)=0.15.

We have to find P(A/B).

P(A/B)=P(A and B)/P(B)

P(A and B)= P(A)+P(B)-P(A or B)

P(A and B)=0.04+0.14-0.15

P(A and B)=0.03.

Thus, P(A/B)=0.03/0.14

P(A/B)=0.2143 (rounded to four decimal places)

Thus, the probability a person was in a car accident given that they are a texter-and-driver is 0.2143. This probability is higher than the probability among the general population because texting while driving is fatal.

Answer:

Answer is C

Step-by-step explanation:

have a nice day!!

~ jassy

Answer:

The answer would be c

Step-by-step explanation:

Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

Answer:

i believe its D

Step-by-step explanation:

Answer:

Have a Spoopy Halloween lol its 9x-3

Step-by-step explanation:

(6x+1/2)+(3x-3 1/2)

= 6x+3x-3 1/2+1/2

= 9x-3

Answer:

[tex]9x - \frac{6}{2} [/tex]

Step-by-step explanation:

[tex](6x+1/2)+(3x-3 \: 1/2) \to \\ ( 6x + \frac{1}{2} ) +( 3x - 3 \frac{1}{2} ) \to \\ 9x + \frac{1}{2} - \frac{7}{2} \to \\ 9x - \frac{6}{2} [/tex]

♨Rage♨

Answer:

6x+y=13

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Both 0.684 and 0.1222 are rational

Answer:

B.

Step-by-step explanation:

Because 0.12222222.... and 0.684 are rational numbers.

Pls consider marking my answer as Brainliest! It would mean a lot!

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

  Slope of the line  =  1

  Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

         y  =  mx + c

where y and x are the coordinates

          m is the slope

          c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

        5 = 1(18) + c

      5 = 18 + c

       c = -13;

 The equation of the line is;

       y  = 1(x) + (-13)

       y = x - 13

Answer:

1. x= 17

2. x= 31

3. x= 4

4. x= 40

Step-by-step explanation:

first one:

you pass the 10 dividing

x-7 = 100/10  ----> x-7 =10

Pass the 7 adding

x = 10+7 ---> x= 17

second one:

Pass the 7 multiplying

x+11= 6*7 ---> x+11= 42

Pass the 11 in substraction

x = 42-11  ----> x =31

third one:

Add the 3+8 = 11

Pass the 11 dividing

x*11 = 44 -----> x= 44/11 ---> x= 4

fourth one:

Rest the 8-4 = 4

Pass the 4 multiplying

x/ 4 = 10 -----> x = 4*10 ---> x= 40

Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

Answer:

the standard form of y=5x+0.5 is B=-5x+y=0.5

Answer:

the answer is 5x - y= -0.5