Mathematics High School

14. Find m (9x + 2)
(15x -52)

14. Find M(9x + 2)(15x -52)

Answers

Answer 1

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

Answer 2

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

What are similar triangles?

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

To learn more about the similar triangles;

https://brainly.com/question/14926756

#SPJ2

Related Questions

what is halfway between 140,000 and 150,000​

Answers

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

                                =5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.

Draw the normal curve

What range of hours constitutes 96% of light bulb hours of life?

Between 300 and 700 hours

Less than 600 hours

Answers

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

solve the equation please
142=10+4x+7x
x= what

Answers

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

What is the value of x?
Y
672
45
6V2
O 6
12
3

Answers

Answer:  12

Step-by-step explanation:

A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45.  Two 45 degree angles in a right triangle means that the two sides will be equal.  So we can find the hypotenuse, x, by:

(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²

(6[tex]\sqrt{2}[/tex])² = 36*2 or 72

72 + 72 = x²

x² = 144

x = 12

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

Work out the shaded area of this shape.

Answers

Answer:

73

Step-by-step explanation:

A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters ​

Answers

Answer:

The answer to the is 28 and 40! hope this helps love

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

I'd say the answer is cube of a binomial, because when something is specifically raised to the 3rd power, that number is being cubed. (When you square a number it has an exponent of 2, whereas when you cube a number it has an exponent of 3.)

Step-by-step explanation:

Hope this helps :)

Simplify. 54+4(3/4−1/2)2

Answers

Answer:

56

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.

what is the slope of the line?




Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

Simplify (5p+1.49)-(2p+6.49)
Thank you!

Answers

5p+1.49-2p-6.49
Combine like terms
3p+1.49-6.49
=3p-5



When deriving the Quadratic Formula, we start with the general equation for a quadratic:

Answers

Answer:

Step-by-step explanation:

c sss

evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =

Answers

Answer:

h(4) = -1 ;   h(-5) = 1        h(0) = -9

Step-by-step explanation:

a)    h(x) = |-2x| - 9       Substitute x = 4

       h(4) = | -2 · 4| - 9

       h(x) = | -8| - 9

       h(4) = 8 - 9

       h(4) = -1

b)  h(x) = |-2x| - 9            Substitute x = -5

    h(-5) = |-2 · -5| - 9

    h(-5) = |-10| - 9

     h(-5) = 10 - 9

      h(-5) = 1

c)   h(x) = |-2x| - 9             Substitute x = 0

     h(0) = |-2 · 0| - 9

     h(0) = |0| - 9

     h(0) = 0 - 9

      h(0) = -9

     

100 if u get this right ty have a nice day!

Answers

Answer:

9

Step-by-step explanation:

2+4 over 2

x 3

= 9

Please help me





20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

PLS WHAT IS THE REAL ANSWWR ASAP

Answers

the answer is t<-48

i hope this helped you if you need the explanation lmk

help with this question

Answers

Answer:

Step-by-step explanation:

What is the m 2x-3=5x-12

Answers

Answer:

15 is the answer

Step-by-step explanation:

If it was designed as an alternate angle, then it would 63 degrees

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and  put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

Solve for
x
x
−
6
9
=
−
5

Answers

[tex]x - 69 = - 5 \\ x = - 5 + 69 \\ x = 64[/tex]

- BRAINLIEST answerer

Answer:

64

Step-by-step explanation:

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar

Answers

Answer:

8 batches

Step-by-step explanation:

You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.

Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.

Answers

Answer:

110 degrees I think

Step-by-step explanation:

Hi again could you help me please
Find the area of the composite shape.​

Answers

Answer:

For the one on the far left its 104 m2

Step-by-step explanation:

u split the shape in a square and rectangle

them u fin the area of the square by multiplying both sides. (8*8)

then u find the area of the rectangle by using the formula

2*(16+4)

when u find both areas u count them up and it'll become 104 m squared


Team math Minds have a score of - 200 They answered five 30-point questions correctly. What is their new score?

Answers

-200+150= -50 is the answer

what are the four functions that are increasing on the interval

Answers

Answer:

Tbh i don’t really know

Step-by-step explanation:

Ask someone else

Identity function
Cubing function
Reciprocal function
Sine function

Someone plz help me :(

Answers

Answer:

I think it's D

Step-by-step explanation:

Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.

Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B

Answers

How tall is house a? If a is 24 ft tall than B is 48 ft tall

Answer:

12

Step-by-step explanation:

House A is 24. So divide it by two to get 12. Which is house B

How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]

Answers

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

Definitions:

In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:

(h, k) = vertex of the grapha  = determines the width and direction of the graph's opening.

A horizonal translation to the parent graph is given by, y = f(x - h), where:

h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the left

In the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).

While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).

Answers:

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.  

In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

By reflection

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