Mathematics Middle School

Two lines meet at a point that is also the vertex of an angle; the measurement of ∠

Answers

Answer 1

Answer:

x = 30°, and y = 46°

Step-by-step explanation:

If we take a look at the attachment below, we will find x = 30°, and y = 46°;

Related Questions

For acute triangle XYZ below, can you find the tangent ratio of angle r°?

Answers

Answer:

Tan r = z/y

Step-by-step explanation:

Tangent = opposite / adjacent

Line XY, which is z, is opposite of angle r.

Line XZ, which is y, is adjacent to angle r.

The equation would be Tan r = z/y.

Answer: No, you can't find the tangent ratio of angle rº because the tangent ratio applies to any right triangle, and it applies to right triangles ONLY.

If Paul answer six questions out of 15 test questions correctly what percent of his test questions did he answercorrectly

Answers

So the right answer is 40%

look at the attached picture

Hope it will help you

Good luck on your assignment

Find the 4th term of the expansion of (a - sqrt(2)) ^ 8

Answers

Answer:

Applying the binomial theorem

[tex]{\displaystyle (x+a)^{n}=\sum _{k=0}^{n}{n \choose k}x^{n-k}a^{k}}[/tex]

Here we have x = -[tex]\sqrt{2}[/tex], n = 8,

=> 4th term (k = 3) would be:

[tex]{8 \choose 3}x^{8-3}a^{3}} = {8 \choose 3}(-\sqrt{2})^{5}a^{3}} = -224a^{3}\sqrt{2}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Situation:
You invest $3,700 in an account that pays an interest rate of 8.25%, compounded continuously.

Calculate the balance of your account after 19
years. Round your answer to the nearest
hundredth.

Enter the correct answer.

Answers

Answer:

$17,740.19

Step-by-step explanation:

A = P x e^rt

= 3,700 x e^(0.0825 x 19)

= $17,740.19

The sum of two positive integers is 40. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers.

Answers

Answer:

13 and 27

Step-by-step explanation:

x+y=40

x- smaller

2y-x=41

x=2y-41

Now to plug it into our first equation:

3y-41=40

3y=81

y=27

x=13

In Lukas’s math class, there are 12 boys and 15 girls. Which of the following is the ratio of boys to girls in Lukas’s math class?

Answers

Answer: 4:5

Step-by-step explanation: First find a number 12 and 15 can both be divided by. I found 3, and did the following:

12/3=4

15/3=5

The ratio of boys to girls in Luka's math class is 4:5

Answer:

4:5

Step-by-step explanation:

12:15 simplifies to 4:5

The sum of two consecutive integers is 77. Find the integers.

Answers

Answer:

38 and 39

Step-by-step explanation:

Since the two integers are consecutive, then one is one larger than the other. Therefore, lets call them x and x+1. We can now set up the following equation:

x+(x+1)=77

2x+1=77

2x=76

x=38

x+1=39

Hope this helps!

Answer:I believe it is 39 and 38

Step-by-step explanation:

x + (x+1) = 77

2x = 76

x = 38 (1st number)

x+1 = 39 (2nd number)

Rectangle Q has an area of 2 square units. Thea draw a scaled version of rectangle Q and labeled it Rectangle R. What scaled factor did these use to go from Rectangle Q to Rectangle R? Please help me

Answers

Answer:

square root of area of Q : square root of area of R

Step-by-step explanation:

Area of rectangle= L×B

Area of redrawn rectangle= l×b

ratio of area of two rectangles= (L×B)/(l×b)

ratio of sides of two rectangles=√((L×B)/(l×b))

The scatterplot shows the number of days a student is absent and his or her
grade in class.
Grade in class
Days absent
What conclusion can you make about the relationship between the variables?

Answers

Choice b is the answer, increase in absent is bad grade

Answer:

Step-by-step explanation:

Xepa i took the test got it right

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 50 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?

Answers

Answer:

30 ounces of solution A

20 ounces of solution B

Step-by-step explanation:

x ounces of solution A

y ounces of solution B

x + y = 50

0.7x ounces of salt in the solution A

0.95y ounces of salt in the solution B

0.8*50 = 40 ounces of salt in 50 ounces of 80% solution

0.7x + 0.95y = 40

x + y = 50

0.7x + 0.95y = 40

x= 50 - y

0.7(50 - y) + 0.95y = 40

35 - 0.7y + 0.95y = 40

0.25y = 5

y = 20 ounces of solution B

x = 50 - y = 50 - 20 = 30 ounces of solution A

Solve the given equation for x. 8−65x=10

Answers

Answer:

Exact form is [tex]x=-\frac{2}{65}[/tex]

And the decimal form is x = −0.0307692

Answer:

The value of x is -2/65

Step-by-step explanation:

The given equation is

8 - 65x = 10

We are asked to find the value of x.

Step 1: Subtract 8 from both sides

-8 + 8 - 65x = 10 - 8

-65x = 2

Step 2: Divide both sides by -65

-65x/-65 = 2/-65

x = -2/65

Therefore, the value of x is -2/65

What is the quotient of 91.5 ÷ 2.44?

Answers

Answer:

37.5

Step-by-step explanation:

(5ab-4a-8) - (9ab-5)

Answers

Answer:

Step-by-step explanation:

-4a-4ab-3

Answer:

-4ab+-4a+-3

Step-by-step explanation:

(5ab-4a-8)-(9ab-5)

distribute the negative sign

=5ab-4a-8+-1(9ab)+(-1)(-5)

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

Solution; Difference ⇒ $ 63.24

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

Solution; 4 children

when x increases from a to a +2, y increases by a factor of 1/4

Answers

Answer:

y=7* (0.5)^x

Step-by-step explanation:

We are given that when x increases from 'a' to 'a+2' then y must increase by a factor of 1/4=0.25.

i.e. when x=a and x'=a+2.

then y/y=0.25 where y' is the function after putting x' to the old function.

How can you use ratios using fractions?

Answers

Answer & Explanation-

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number. For example, the fraction 1/6 can be written as the ratio 1:6. Another example, the fraction 2/3 can be written as the ratio of 2:3.

I hope this helps you!!!!!

When the pennies are put in groups of 2 there is one penny left over. When they are put in groups of three, five, and six there is also one penny left over. But when they are put in groups of seven there are no pennies left over. How many pennies could there be?

Answers

Answer: 7

you cant put seven in groups of 2 , 3 , 5 ,or 6 so theres 7 pennies

Triangle ABC is the pre-image and Triangle ADE is the image. What transformation took place?

a. Reflection
b. Translation
c. Dilation
d. Rotation

Answers

Answer:

translation...........

Answer:

Dilation

Step-by-step explanation:

A dilation is a type of transformation that changes the size of the image. The scale factor measures how much larger or smaller the image is.

In this example, ΔABC is dilated as seen in the picture because it the picture itself got bigger.

The image, ΔADE is now a dilated version of the pre-image ΔABC

There is an attachment provided to support this answer.

Two fair dice are rolled.
What is the probability that the first lands on a 6 and the second lands on a oddnumber? Write your answer in simplified fraction form.

Answers

Answer:

1/12

Step-by-step explanation:

1/6 times 1/2 is 1/12

1/6 because if the first number is 6 then it is 1/6 since there are only 6 of them

1/2 because there are 3 odd numbers and 3/6 is simplify to 1/2

Answer:

1 1/2

Step-by-step explanation:

1/6*1/2

help please! 40 points :)

Answers

hi hi hi hi hi hi hi hi hi

Here b = 5 and h = 6, thus

A = 0.5 × 5 × 6 = 15 cm²

Thus the area of the rectangle is 15 cm²

A = lw ( l is the length and w the width )

Here l = 6 and w is to be found

6w = 15 ( divide both sides by 6 )

w = 2.5 cm

What value(s) of x make the following expression undefined? x^2+ 1
2x − 4
Type only value(s) that should be excluded from the solution set.

Answers

Answer:x=2

Step-by-step explanation: 2x-4=0

2x-4=0

+4 +4

2x=4

2x/2=4/2

X=2

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