a) Expand and simplify (x + 4)(x-7)
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Answer:

1) m∠AB'C = 41°

2) m∠BAC = 49°

3) m∠B'AC = 49°

4) m∠ACB = 90° Given

5) m∠ACB' = 90°

6) [tex]\overline {AB'}[/tex] = 24

7) Isosceles triangle

8) True

Step-by-step explanation:

Given that triangle ΔABC, is the reflection of ΔAB'C, and given that a reflection is a rigid transformation, we have;

1) ΔABC ≅ ΔAB'C Given

∴ m∠AB'C ≅ m∠ABC given that Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

m∠AB'C = m∠ABC by the definition of congruency

∴ m∠AB'C = m∠ABC = 41°

2) Similarly, we have;

m∠BAC = 180° - (90° + 41°) = 49° Given the sum of interior angles of a triangle theorem

m∠BAC = 49°

3) m∠BAC = m∠B'AC by CPCTC

∴ m∠B'AC = m∠BAC = 49° by transitive property

m∠B'AC = 49°

4) m∠ACB = 90° Given

5) ∴ m∠ACB' = 90° given that the sum of angles on a straight line is 180°

6) [tex]\overline {AB}[/tex] = 24 Given

[tex]\overline {AB}[/tex] ≅ [tex]\overline {AB'}[/tex]  given that ΔABC ≅ ΔAB'C and CPCTC

[tex]\overline {AB}[/tex] = [tex]\overline {AB'}[/tex]

[tex]\overline {AB'}[/tex] = [tex]\overline {AB}[/tex] = 24

[tex]\overline {AB'}[/tex] = 24

7) In ΔABB', [tex]\overline {AB'}[/tex] = [tex]\overline {AB}[/tex] = 24 therefore, ΔABB' has two sides equal and ΔABB' Is an isosceles triangle

8) True, the angles opposite the congruent sides are the base angles of the isosceles triangle and they are therefore congruent

Answer: -5, 1

Step-by-step explanation:

Answer:

15m

Step-by-step explanation:

1cm=3m

5cm is equal to 15m

Answer:

$24750

Step-by-step explanation:

Given data

Principal= $45000

Time=5 years

Rate= 11%

Let us apply the simple interest expression

SI= PRT/100

substitute

SI= 45000*11*5/100

SI= 2475000/100

SI= $24750

Hence, Craig would have paid $24750

Answer:

i think b

Step-by-step explanation:

3 bags = 5.55, divide that and youll get 1.85 then take 1.85 times 2 for two bags of chips and you will end up with B - 3.70

Answer:

B, y=2x

Step-by-step explanation:

Because the x is doubling Every time you go up the line

Answer:

391.5 in²

Step-by-step explanation:

SA = 2(9)(10) + 9(10) + 13.5(9)

SA = 180 + 90 + 121.5

SA = 391.5

1. 50 degree angle I believe

2. 150 degree angle

3. 45 degree angle

Sorry if this doesn't help but, with no context about the answers they have given you I can't fully help. Try using a protractor like this down below.

Have a good day!

Answer:

35 / 4 = 8.75

35 - 8.75 = 26.25

I hope you a great life. Till we meet again, Farewell!

Answer:

a. -24w^6/y^7z^3

Step-by-step explanation:

i hope this helps :)

Answer: The Answer Would Be D

Answer:

Step-by-step explanation:

y is always (1/3) of x.

Thus, if x = 0, y = 0; if x = 1, y = (1/3)(1) = 1/3, and so on.  The corresponding ordered pairs are (0, 0), (1, 1/3), (-2, -2/3)

Answer:

no the solution would be (-2, -8)

Step-by-step explanation:

i graphed both of the equations and found the solution <33

Answer:

(-2,-8) is correct

Step-by-step explanation:

4x = y

5x +2 = y

4x = 5x +2

-2 = x

y = 5×-2 + 2

=-8

( x , y )

Answer: 9 months

Explaination: First subtract the total price which is $65 and subtract it by the final amount of money he had which is $38. Doing this you should get $27. To find the number of months divide it by 3 and you should get 9 months! Hope this helps! :)

Answer:

9 months

Step-by-step explanation:

$65 - $38 = $27 (the amount of money he had withdrew.)

27 ÷ 3 = 9

(since every month Paul withdrew $3.)

So, Paul withdrew $27 from his original balance of $65 to get his ending balance of $38. That means, if Paul withdrew $3 each month, he withdrew money for 9 months.

I would appreciate brainliest, if not that's ok!

Answer:

-1/7

Step-by-step explanation:

11x-1 = 1+25x

x= -1/7

what you need to do is plug in the X-imput into the exponential slot that has the tiny X.

your answer is "C"

thanks! :)

Answer:

D.

Step-by-step explanation:

Answer: x< 2

Step-by-step explanation: -2x +6 < -3x +8

-2x +3x < 8-6

Answer:

$3572

Step-by-step explanation:

Answer:

C.) 3572

Step-by-step explanation:

I Just took the test

Answer: The answer is 81

Step-by-step explanation:

because 9x9=81 so u don't multiply the whole square like this

9x9x9x9=36 thats wrong and that was my mistake but yeah it would be 81.

Answer:

second one

Step-by-step explanation:

Answer:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Answer:

car b has a steeper slope tho... so it's car b

Answer:

A: M= 100 - w=20 = M-0

 ( if he has 100 dollars n he buys a 5 dollar coffee every week then he will have 0 dollars left over in 20 weeks )

B.  6 weeks

Answer:

A. m = 100 - 5w

B. 17 weeks

Step-by-step explanation:

Answer:

A

Hope it helps and i don't know how to explain

Answer:

Step-by-step explanation:

You may invent a value for x, substitute that value into the given equation and thereby calculate y:

If 7x - 4y = -5 and x = 0, then -4y = -5 and y = 5/4.  The corresponding ordered pair is (0, 5/4).  Other x values may be chosen at random and the same operations performed so as to find other possible ordered pairs corresponding to 7x -4y = 5.

Answer:

The = sign

Step-by-step explanation:

[tex]\frac{7}{8} -\frac{9}{12} =\frac{1}{8}[/tex]

1/8 = 1/8

Answer: =

Step-by-step explanation:

[tex]\frac{7}{8}-\frac{9}{12} ?\frac{1}{8}[/tex]

We need to find a common denominator for the two

which will be 24

But we need to multiply the numerators as well to change them.

[tex]\frac{7}{8}(\frac{3}{3})-\frac{9}{12} (\frac{2}{2} )?\frac{1}{8}\\\frac{21}{24}-\frac{18}{24}? \frac{1}{8}\\\frac{3}{24} ?\frac{1}{8}\\Simplify\\\frac{1}{8} =\frac{1}{8}[/tex]

Answer:

Hoping someone else can answer with more confidence, but here's what I have:

on the left hand side:

upper is partial/penumbral lunar eclipse

lower is total solar eclipse

on the right hand side:

on the top: it's impossible for the moon to be behind the sun, so I'm not sure what they want there

middle is total solar eclipse

bottom is partial/penumbral lunar eclipse

Hope I helped at least a little

Answer: B

Step-by-step explanation:

x = van

y = bus

12x + 9y = 456

1x + 2y = 83

(Simplify equations)

9y = -12x + 456

y = -1.3x + 456/9

2y = -x + 83

y = -1/2x + 41.5

(Find x)

-1.3x + (456/9) = -.5x + 41.5

0.8x = 9.16

(Round)

x = 11

(Find y by plugging x in)

y = -1/2(11) + 41.5

y = -5.5 + 41.5

y = 36

(Check)

12(11) + 9(36) = 456

132 + 324 = 456

1(11) + 2(36) = 83

11 + 72 = 83

Answer:

Its D

Step-by-step explanation: