What is the measurement of Angle x. please explain​

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.

From the diagram, it is shown that CA is congruent to RM.

From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

This shows that the first option is correct.

From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.

Thus the second option in not correct.

From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.

Thus the third option is not correct.

From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.

Thus the fourth option is not correct.

From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.

Thus, the fifth option is not correct.

Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm

The additional information could be used to prove ABC≅MQR using SAS will be m∠R = 60° and AB≅MQ. Option D is correct.

Triangles that are equivalent in terms of size and form are known as congruent triangles.

The conditions for ABC≅MQR are;

m∠R = 60°

AB≅MQ

Using the new data, it is possible to demonstrate that m∠R = 60° and AB is equal to the MQ will result in ABC≅MQR using SAS.

Hence option D is correct.

To learn more about the congruent triangle refer;

https://brainly.com/question/12413243

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Answer:

Step-by-step explanation:

Coordinate points: (18, -7) and (18,2)

m= rise / run      or    [tex]\frac{ y_2 - y_1} {x_2 - x_1}[/tex]

m = slope

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

So your rise is...

2 - (-7)

and you run is...

18 -18

Rise = 9

Run = 0

Now, do you see the issue...

You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)

The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0)  is ERROR in the calculator which means the slope of these points are undefined

The line is vertical when this happens

*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line

0 divide by 9 is zero

Answer:

x=0

Step-by-step explanation:

3*9+x=27-x [9^1=9]

27+x=27-x

27-27= x+x

2x=0

x=0

Answer:

C.

Step-by-step explanation:

11 is a prime number, meaning that its only factors are 1 and itself.

Answer:

c

Step-by-step explanation:

 9        10      11        12  

1,9       1,10    1,11     1,12

3,3      2,5               2,6

                              3,4

16 cause 24 divided by 1 1/2= 16

-1

We are given:

a₁ = -17    

a₁₃ = -29

Solving for the Common Difference (d):

We know that the formula for an AP is:

aₙ = a₁ + (n-1)d

The formula for the third term will be:

a₁₃ = a₁ + (13 - 1)d

replacing the given values:

-29 = -17 + (12)d

-12 = 12d                            [adding 17 on both sides]

d = -1                                 [dividing both sides by 12]

Hence, the common difference is -1

Answer:

9. 66°

10. 44°

11. [tex]2\sqrt{7}[/tex]

12. [tex]2\sqrt{3}[/tex]

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = [tex]\sqrt{28}[/tex]

a = [tex]2\sqrt{7}[/tex]

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = [tex]\sqrt{12}[/tex]

a = [tex]2\sqrt{3}[/tex]

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = [tex]\frac{20}{x}[/tex]

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = [tex]\frac{x}{18}[/tex]

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

Answer:

D the 4th one that starts with-13.

Answer:

To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

it would take 22 gallons of gas

Step-by-step explanation:

3 divided by 60

that’s the amount of gas per single mile

then that number times 440 (number of miles you wish to go).

Answer:

with what

Step-by-step explanation:

I can't really see the question

Answer:

V = 200.96 units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

The radius is  4 and the height is 12

V = 1/3 ( 3.14 ) ( 4)^2 * 12

V = 200.96 units ^3

ANSWER:  200.96 units

Answer:

y=x+5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3x+1 = 7

3x+1-1 = 7-1

3x = 6

Answer:

Step-by-step explanation:

Asafa's speed:

Jemaine's speed:

Asafa ran at faster rate as 125 m/min > 100 m/min

Answer:

there is no solution that simultaneously satisfies all the constraints.

Step-by-step explanation:

An infeasible problem is one for which there is no solution that simultaneously satisfies all the constraints.

In linear programming, when a linear problem or program has no solution that simultaneously satisfies all the constraints i.e no feasible solution can be generated or gotten, then, the problem is said to be an infeasible problem. This ultimately implies that, an infeasible problem is one that does not have an optimal solution for all of its constraints (linear and non-linear constraints).

For example, when the demand requirement in a manufacturing plant or industry is much greater than its available capacity this will result into an infeasible problem. Also, when various functional managers in different departments in an organization have varying degree of requirements because there won't be an optimal solution.

Answer:

m = -1

Step-by-step explanation:

18 - 4m = 6 - 16m

18 - 6 = 4m - 16m

12 = -12m

m = 12 / -12

m = -1

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

Answer:

-34, -27, -13, 12, 36, 64.

Step-by-step explanation:

The further left you go on a number line the less the number is the further right you go the greater the number is. Hope this helped!! Give brainliest.

Answer: 1) $0.76 per serving of pumpkin pie

2) 64 people

3)

1 1/3 cup sweet potatos

2 tablespoons + 2 teaspoons of white sugar

1 egg

1/4 teaspoon of salt

2 tablespoons of butter

2 tablespoons + 2 teaspoons of milk

1/4 teaspoon of vanillia

2 tablespoons + 2 teaspoons of brown sugar

1 tablespoon + 2 1/3 teaspoons flour

2 tablespoons + 2 teaspoons of peacans

Step-by-step explanation:

1) the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie/number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

2) 1lb=16oz

24/6=4

4x16=64

Answer:

0.76 per serving of pumpkin pie

2) 64 people

Step-by-step explanation:

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

Answer:

Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?

Step-by-step explanation: