MATHEMATICS HIGH SCHOOL

Triangle ABC is congruent to TriangleA'BC' by the HL theorem. Triangles A B C and A prime B C prime are connected at point B. Angles A prime C prime B and A C B are right angles. The lengths of C prime A prime and C A are congruent. The lengths of A prime B and B A are congruent. What single rigid transformation maps TriangleABC onto TriangleA'BC'? answer options: Triangle ABC is congruent to TriangleA'BC' by the HL theorem. Triangles A B C and A prime B C prime are connected at point B. Angles A prime C prime B and A C B are right angles. The lengths of C prime A prime and C A are congruent. The lengths of A prime B and B A are congruent. What single rigid transformation maps TriangleABC onto TriangleA'BC'? dilation reflection rotation translation

Answers

Answer 1

Answer:

Congruent triangles have equal measure of corresponding sides and angles.

The single transformation that maps triangle ABC and triangle A'B'C is (b) reflection

From the question, we understand that the triangles are congruent by HL.

HL means hypotenuse legs.

This implies that

The two triangles are right-angled triangle
The length of the hypotenuse of both triangles are equal.

Reflecting either of the triangles would map both triangles.

Hence, the single transformation is reflection

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Mr. Wong wants to purchase 12 new smoke detectors for his house. Store A sells each smoke detector for $17 and Store B sells each smoke detector for $24. If Mr. Wong purchases all his smoke detectors at Store A, how much less will he spend than if he purchased all the smoke detectors at Store B?
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The equation of a line is y = 3x + 8 what is the gradient of the line

Four light bulbs cost $3.20.how much does it cost to buy 14 light bulbs ?

Answers

3.20 ÷ 4 = .80

SO

1 bulb costs $.80.

14 × .80 = 11.2 or 11.20 (its the same thing)

SO 14 light Bulbs cost $11.2 or $11.20.

Hope I helped ya!!

3.20= 4 light bulbs
3.20/4= .80cent per light bulb
.80*14=$11.20

Simplify for a lot of points
(1-sin^2x)(1-tan^2x)

Answers

1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x

=1
this simplifies to 1.

A 4-digit pin number is to be created using the digits 0 through 9. The first digit must be a 5 or an 8, and the last digit cannot be 0. How many pin numbers can be created?A.
5,040
B.
6,561
C.
1,458
D.
1,800

Answers

First digit:5 or 8 so 2 possible numbers
Second:Any of 0 to 9 so 10 possible numbers
Third:Any of 0 to 9 so 10 possible numbers
Last:Any of 1 to 9 so 9 possible numbers
So Answer is,
2*10*10*9=1800

Adam has £500 Beth has £130 Adam gives some money to Beth. He now has twice as much money as Beth. What percentage of his money did he give away?

Answers

Adam = £500
Beth = £130.

Let the money Adam gives Beth be x.

So Adam would have 500 -x.
Beth would then have 130 + x.

Adam now has twice as much as Beth.

   500 - x = 2*(130 + x)
   500 - x = 2*130 + 2*x
   500 - x = 260 + 2x
   - x - 2x = 260 - 500
-3x = - 240

   x = -240/-3
   x    = 80

So Adam gave £80 to Beth.

To find the %: (80 / 500) * 100%. Use your calculator.

= 16 %.

So Adam gave away 16% of his money to Beth.

Don randomly draws two cards from a standard deck of 52 cards. He does not replace the first card. What is the probability that both cards are aces?

Answers

easy
so remember
4 aces in a deck
probability =(desired outcomes)/(total possible)

total possible=52

4/52=1st card
then since he picked 1 out the total possible is and assuming he drwe an ace 3/51
so the answer is 4/52 times 3/51=1/221

Answer: 1/221

Step-by-step explanation:

A P E X

How to ask someone out ?

Answers

maybe tell them your feelings first then proceed to ask them out i would ask if they like you back first

Answer:

There are so many ways! Do want me to help?

Step-by-step explanation:

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9) There are six girls and 12 boys in Ms. Jeffry's environmental club. She wants to divide the students into groupS with the same number of boys and the same number of girls in each group. What is the maximum number of groups she can make? *

Give an example of a relation that is NOT a function and explain why it is not a function.I do not understand how to do this...please help its algebra.

Need help with all!!! Please help