Is AABC AXYZ? If so, identify the similarity postulate or theorem that
applies

Answer:

The answer is A. 10

Step-by-step explanation:

The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.

5x - 25 = 3x - 5

subtract 3x from each side

2x - 25 = -5

add 25 to each side

2x = 20

divide 2 from each side

x = 10

Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.

The relation between the given angles is given by the alternate interior

angles theorem.

If lines p and q are parallel then the value of x is A. 10°

Reason:

The given parameters are;

Condition; Line p, and line q, are parallel.

The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.

According to alternate interior angles theorem, we have the alternate

angles are congruent, where line p, and line q are parallel.

Therefore;

(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles

(3·x - 5)° = (5·x - 25)° By definition of congruency

Solving, we get;

(3·x - 5)° + 25° = (5·x - 25)° + 25°

3·x + 20° - 3·x = 5·x - 3·x = 2·x

20° = 2·x

[tex]x = \dfrac{20^{\circ}}{2} = 10^{\circ}[/tex]

The correct option is A. 10°

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Answer:

-1 and 21

Step-by-step explanation:

Let the numbers be x and y.

x + y = 20

xy = -21

Solve the first equation for x and substitute in the second equation.

x = 20 - y

(20 - y)y = -21

20y - y^2 = -21

y^2 - 20y - 21 = 0

(y - 21)(y + 1) = 0

y - 21 = 0 or y + 1 = 0

y = 21 or y = -1

For y = 21:

x = 20 - y

x = 20 - 21

x = -1

For y = -1:

x = 20 - y

x = 20 - (-1)

x = 21

Solutions: (-1, 21) and (21, -1)

Answer: the numbers are -1 and 21

Answer:Oscar D

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

when x= 0

f(0)= 3*(0)² + 2*0 - 2

= 0 + 0-2

= -2

Answer:

    x = ± √2 = ± 1.4142

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the answer is a why do not ask

Answer:

x>-3

Step-by-step explanation:

Answer:

x > -3

Step-by-step explanation: First you have to  distribute the 10 to  3x +2 and 7 to 2x -4 . 10 times 3x + 2 is 30x + 20. 7 times 2x -4 is 14 x -28 .  Subtract 20 from both sides, which is  30x = 14x-48 , because -28 minus 20 is -48.  Subtract 14 x from both sides which is gonna be  16x >-48 , divide both sides by 16 which is x > -3.

Answer: £186.89

Step-by-step explanation:

-We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99:

Hence, it will cost £186.89 to buy all the paint

Answer:

=£186.89

Step-by-step explanation:

A=1/2(a+b)h

a||b dimensions

A=1/2(16+10)×7.6

=98.8m²

Given that 1 litre of paint covers an area of 1.9 sq m, we divide the area of the trapezium by this and multiply by the price per liter to get total cost:

paint used= Area/paint m²

98.8/1.9

=52 litres

We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99

52/2

=10.4

11tins

cost=11×16.99

=£186.89

Answer:

Let's solve this with 3 calculations

1) Volume of the lower section (highlighted in blue)

3 cm hgt 16 cm long 3 cm wide

Volume = 3 * 3 * 16 = 144 cubic cm

2) Volume of left "block"

Volume = 4 cm hgt * 4 cm long * 3 cm wide =

4 * 4 * 3 = 48 cubic cm

3) Volume of right "block"

length = 16cm - 3 - 4 - 3 = 6 cm  

Volume = 4 cm hgt * 6 cm long * 3 cm wide =

4 * 6 * 3 = 72 cubic cm

TOTAL VOLUME = 144 + 48 + 72 = 264 cubic cm

Step-by-step explanation:

Answer:

- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 8, 2 ] , thus

f(b) = f(2) = - 4 ← read from graph

f(a) = f(- 8) = 1 ← read from graph, thus

average rate of change = [tex]\frac{-4-1}{2-(-8)}[/tex] = [tex]\frac{-5}{10}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

False

Step-by-step explanation:

Answer:

Option 1 earns more interest by $2396.13

Step-by-step explanation:

Step 1: Determine the prices

50000(1 + 0.05)^3 = 57881.30

50000(1 + 0.0035/12)^36 = 55527

Step 2: Determine which pays higher

Step 3: Find difference

57881.30 - 55527 = 2396.13

And we have our final answer!

Answer:

0.985

Step-by-step explanation:

Given: 35% of the fish caught in a local lake had high levels of mercury.

To find: probability that at least 6 of the 10 fish caught did not contain high levels of mercury

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/Total number of outcomes

Let A denotes the event that the fish caught in a local lake had high levels of mercury.

As 35% of the fish caught in a local lake had high levels of mercury,

[tex]P(A)=0.35[/tex]

Probability that at least 6 of the 10 fish caught did not contain high levels of mercury = 1 - probability that 4 of the 10 fish caught contain high levels of mercury = [tex]1-(0.35)^4=1-0.015=0.985[/tex]

Answer:

Step-by-step explanation:

x intercept it means y=0 (3,0)

y intercept means x=0 (0,4)

find the slope : y2-y1/x2-x1

y2-y1= 4-0=4

x2-x1= 0-3=-3

m=4/-3

y=mx+b       b=4 since x=0

y=-4/3 x+4

Answer:

1. I,P,M,P

2. P,I,P,M

3. M,P,P,I

4. P,I,M,P

4500 increase it by 15%=675

4500+675=5175

Decrease 4% from 5175

4% of 5175=207

5175-207=4868

Answer=I think it’s b

Answer:

y = -2/13

Step-by-step explanation:

-5 + 13y = -7

Add 5 to each side

-5+5 + 13y = -7+5

13y = -2

Divide by 13

13y/13 = -2/13

y = -2/13

Answer:

x = 9

Step-by-step explanation:

→Distribute the [tex]\frac{1}{3}[/tex] to (5x - 9), and the 2 to [tex](\frac{1}{3} x + 6)[/tex]:

[tex]\frac{1}{3}[/tex](5x - 9) = 2( [tex]\frac{1}{3}x[/tex] + 6)

[tex]\frac{5}{3}x[/tex] + 3 = [tex]\frac{2}{3}x[/tex]+ 12

→Subtract [tex]\frac{2}{3}x[/tex] from both sides:

x + 3 = 12

→Subtract 3 from both sides:

x = 9

The value of x from the given equation is 6.

The given equation is 1/3 (5x - 9) = 2(1/3 x + 6).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 5x/3 - 9/3 = 2x/3 +6/2

5x/3 -3 = 2x/3 +3

5x/3 -2x/3 =3+3

(5x-2x)/3 = 6

3x/3 = 6

x = 6

Therefore, the value of x from the given equation is 6.

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#SPJ6

Answer:

Um where is the question

Step-by-step explanation:

Answer:

b. -1/3,1/2

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

x+7=21

x=14

Answer:

The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.

The correct answer is D: 10x = 1000, which simplifies to x = 100

Answer:

True

Step-by-step explanation:

True, because a polygon have all angles that are equal and all lengths are the same length.

Answer:

75 Flapjacks

Step-by-step explanation:

You must divide 120 by 600 in order to get your answer. As it says 120 margirine to make 15 flapjacks which is equal to one batch, you must then divide 600 by 120 and then multiply 5 by 15 to get 75. I hope this helped.

(brainliest?)

Answer:

Yes.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

yes he is correct

Step-by-step explanation:

(12x+4)-(-3x+5)

take out parenthesis,

12x+4--3x-5

simplify,

12x+4+3x-5

do the math,

15x-1

Answer:

3. Reflexive property of congruence

(since the statement states that a segment is congruent to itself)

4. SSS

(since 3 sides of one triangle are congruent to three sides of the other triangle)

Answer: (x + 12)(x + 18)

Step-by-step explanation: x² + 30x + 216​

                                              12 + 18 = 30

                                              12 x 18 = 216

                                              (x + 12)(x + 18)

Answer:

answer would be (x + 12)(x + 18).

Step-by-step explanation:

Let's factor x^2 + 30x + 216

x^2 + 30x + 216

Answer:

(x + 12) (x + 18)

Answer:

x≥ -1 or (-1, ∞)

Step-by-step explanation:

g is decreasing where the slope is negative so after max at -1 so x≥ -1

Answer:

Step-by-step explanation:

θ lies in 4th quadrant.

cos θ and sec θ are positive all other trigonometric ratios are negative.

sin θ/cos θ=-9/4

sin θ=-9/4 cos θ

we know sin² θ +cos ² θ =1

(-9/4 cos θ)²+cos ² θ =1

cos ²  θ (81/16+1)=1

cos ²θ((81+16)/16)=1

cos² θ=16/97

cos θ=4/√97

sin θ=-9/4*4/√97=-9/√97

sec θ=1/cos θ=√97/4

cosec θ=1/sin θ=-√97/9

cot θ=1/tan θ=-4/9

[tex]\ theta=tan^{-1}(-9/4) \approx 294 ^\circ[/tex]

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

Step-by-step explanation: