Find the value of x. Round to the nearest degree.

Answer/Step-by-step explanation:

Part A:

(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)

Solve for x

6x + 2 + 8x + 6 + 7x + 4 = 180

Add like terms

21x + 12 = 180

21x + 12 - 12 = 180 - 12

21x = 168

21x/21 = 168/21

x = 8

Part B:

Method 1:

m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)

m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)

Plug in the value of x

m<CFD + 6(8) + 2 + 8(8) + 6 = 180

m<CFD + 48 + 2 + 64 + 6 = 180

m<CFD + 120 = 180

m<CFD + 120 - 120 = 180 - 120

m<CFD = 60°

Method 2:

m<CFD = m<AFE (vertical angles are congruent)

m<CFD = (7x + 4)° (substitution)

Plug in the value of x

m<CFD = 7(8) + 4

m<CFD = 60°

Answer : 169

Step-by-step explanation:

4(x+19) = 752

4x +76 = 752

4x = 752 - 76

x = 676/4

x=169

Hope this helps ;)

Please mark me the BRAINLIEST

Answer:

B

Step-by-step explanation:

The volume of a prism is the area of the cross section x length

The area of the cross section:

Area of a triangle = [tex]\frac{base * height}{2}[/tex]  so [tex]\frac{6*4}{2} = 12[/tex]

12 x 16 = 192 so B

Answer:

Step-by-step explanation:

Answer:

The figure is a triangular prism

Step-by-step explanation:

it's bc the bases are triangles

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. A right triangular prism has rectangular sides and is oblique otherwise.

A triangular prism is a three-sided prism consisting of a triangular base, a translated duplicate, and three faces connecting similar sides. The given net will form a triangular prism.

Learn more about Triangular Prism:

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Answer:

1/64 for each type f flowe

Step-by-step explanation:

The probability of drawing a white ball from box B is 7/8 or approximately 0.875 (87.5%).

Let's calculate the probability of drawing a white ball from box B after transferring 3 balls from box A to box B.

Given:

Box A contains 5 white balls and 4 black balls.

Box B contains 3 white balls and 5 black balls.

After transferring 3 balls from box A to box B, we need to consider two scenarios:

The ball drawn from box B comes from the 3 transferred balls.

The ball drawn from box B comes from the original balls in box B.

Let's calculate the probability for each scenario and then sum them to obtain the total probability.

After transferring 3 balls from box A to box B, box B will contain 6 balls (3 white and 3 black), while box A will contain 2 white balls and 4 black balls.

The probability of drawing a white ball in this scenario is 3/6, as there are 3 white balls out of a total of 6 balls in box B after the transfer.

In this scenario, we consider that the ball drawn from box B comes from the original balls in box B, meaning it was not transferred from box A.

The probability of drawing a white ball in this scenario is 3/8, as there are 3 white balls out of a total of 8 balls in box B before the transfer.

Now let's sum the probabilities of both scenarios to obtain the total probability:

Total Probability = (Probability of Scenario 1) + (Probability of Scenario 2)

= (3/6) + (3/8)

= 1/2 + 3/8

= 4/8 + 3/8

= 7/8

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Answer:

17 units is the answer

Step-by-step explanation:

Points are (1,9) and (9,-6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]

∴ d = 17 units is the distance between 2 points.

Answer:

the correct answer is C

Step-by-step explanation:

Answer:

B. 75%

Step-by-step explanation:

multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.

Answer:

75%

Step-by-step explanation:

Start by converting the fraction 3/4 into decimal

Divide the numerator by the denominator: 3 ÷ 4 = 0.75

Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.

your awnser is, 3/4 = 75%

(sorry if this doesnt

make sence)

Answer:

n(A) = 5

Step-by-step explanation:

The cardinality of a set is the total number of elements in the set

Given the set

A = {a,e,i,o,u}

The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)

Answer:

D) 4(x - 6)(x + 1)

Step-by-step explanation:

(2x - 5)(2x - 5) = 4x² - 20x + 25

7(7) = 49

4x² - 20x + 25 - 49

4x² - 20x - 24

4(x² - 5x - 6)

4(x - 6)(x + 1)

Answer:    14.4

30*48=14.4%

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:

Answer:

2.83

Step-by-step explanation:

Please give brainliest

Answer:

2.83

Step-by-step explanation:

Answer:

The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.

Step-by-step explanation:

The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:

2(base area)+2(back area)+2(side area)

=2((base area)+(back area)+(side area))

Area of blue prism = 2((base area)+(back area)+(side area))

=2((4*2)+(4*10)+(2*10))

=2(8+40+20)

=2(68)

=136 cm²

Area of green prism = 2((base area)+(back area)+(side area))

=2((10*5)+(25*10)+(25*5))

=2(50+250+125)

=2(425)

=850 cm²

850cm² is 6.25 times greater than 136cm² (850/136=6.25), so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.

Answer:

2 is the answer I think sorry if am wrong

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

Answer: 24km^2

Step-by-step explanation: The area of the middle rectangle of the trapezoid is 3×4=12. The two triangles on the sides are both 3-4-5 right triangles and have a combined area of 12 units^2. 12+12=24!

Answer:

I can't find the missing parallelogram, let alone the base.

Step-by-step explanation:

Answer: First 12/8, then 3/2

Step-by-step explanation: 3/2.

If you want the mixed fraction, it would be 1 1/2.

4 times 3 is 12... 12/8

1 whole box (8/8)

So 12/8-8/8=4/8 left

1 whole and 1/2

Answer:

x[tex]\leq[/tex]1

Step-by-step explanation:

Answer:

C.8n=56

Step-by-step explanation: