MATHEMATICS HIGH SCHOOL

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.What is the value of x?
A. 34°
B. 56.5°
C. 22°
D. 68°
In the figure, mAB = 45° and mCD = 23°. - 1

Answers

Answer 1
Answer:

Answer:

Option A. x=34\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

x=(1)/(2)(arc\ CD+arc\ AB)

substitute the values

x=(1)/(2)(23\°+45\°)

x=34\°

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Quadrilateral A’B’C’D’ is the image of quadrilateral ABCD under a translation.A translation by ____ units to the _right/left_ and ____ units _up/down_.

Answers

A translation by 2 units to the right and 5 units down

Johnathon can jog 3 2/5 miles in 7/8 hour. Find his average speed in miles per hour

Answers

We have to calculate the average speed if we know the distance and time that Johnatan can jog. The distanece: d = 3 2/5 miles = 3.4 miles. t = 7/8 hour = 0.875 h. Then we will use the formula for the average speed ( velocity ): v = d / t. v = 3.4 m / 0.875 h = 3.866 mph. Answer: The average speed is 3.866 mph.

5/6 x 2 2/5 = ??? i'm confused...

Answers

Answer:

2

Step-by-step explanation:

Answer: (5 / 6) * 2 2/5 = 2

Step-by-step explanation:

The rule (x,y)→(−x,y) maps △ABC to △A′B′C′.Which statement correctly describes the relationship between △ABC and △A′B′C′ ?

The triangles are congruent because △A′B′C′ is a rotation of △ABC, and a rotation is a rigid motion.

The triangles are congruent because △A′B′C′
is a reflection of △ABC, and a reflection is a rigid motion.

The triangles are not congruent because △A′B′C′
is a translation of △ABC, and a translation is not a rigid motion.

The triangles are not congruent because △A′B′C′
is a reflection of △ABC, and a reflection is not a rigid motion.

Answers

Going from (x,y) to (-x,y) is telling us we have a reflection going on. For example, (1,2) will map to (-1,2). This is a reflection over the y axis (the vertical axis). A reflection will keep two points the same distance apart. So it preserves distances and side lengths. Therefore, if ABC is reflected over the y axis then A'B'C' is congruent to ABC. 

The final answer is choice B.

The correct option is :

(B)The triangle are congruent because the triangle A'B'C' is a reflection of triangle ABC and a reflection is a rigid motion.

Step-by-step explanation:

Given information:

The rule (x,y) going to (-x,y) maps triangle ABC to Triangle A'B'C'

Now,

The reflection is going on if we are going from (x,y) to (-x,y)

For example the point (1,3) will map (-1,3) , this is a reflection over y axis.

A reflection will keep the two points the same distance apart so we can say it will preserve the side length and distance.

Hence, if triangle ABC is reflected over y axis then A'B'C' is congruent to ABC.

So, The correct option is :

(B)The triangle are congruent because the triangle A'B'C' is a reflection of triangle ABC and a reflection is a rigid motion.

For more information visit:

brainly.com/question/25063327?referrer=searchResults

You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?. a. using a paid membership card to buy it at a 10 percent discount. b. buying it online at a 10 percent discount with a $5 shipping charge. c. buying it at a 10 percent discount without sales tax.

Answers

Answer

c. buying it at a 10 percent discount without sales tax.


Explanation

We are going to compare the 3 choices and then determine the most cost effective.

a. using a paid membership card to buy it at a 10 percent discount.

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cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card.

b. buying it online at a 10 percent discount with a $5 shipping charge.

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95

c. buying it at a 10 percent discount without sales tax.

100% - 10% = 90%

90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.


the one that is the most cost-effective choice for buying the item would be : C. buying it a percent discount without sales tax

With this option, you can get a clear $ 10 cut which is higher compared to the other options

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What is the value of x in the equation x-2/3 + 1/6 =5/6 ?

Answers

x is a negative one (-1). The negative one makes it so that the -2/3 is a positive when they multiply.
So in this problem we can see that 2 out of 3 of the fractions have a denominator of 6. One of the fractions (2/3) has a denominator of 3. But we can make the denominator 6 by multiplying it by 2!

Now the equation is:

x - 4/6 + 1/6 = 5/6

So now let's solve for x!

x - 4/6 + 1/6 = 5/6

x + 1/6 = 9/6        (Addition property of equality)

x = 8/6                 (Subtraction property of equality) 

Now we divide...

8 divided by 6 equals 1.33

Now if we plug that into the equation as 1 and 1/3...

1 and 1/3 - 2/3 + 1/6

2/3 + 1/6

4/6 + 1/6 = 5/6

So that means your answer is decimal 1.33 or mixed fraction 1 and 1/3
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