Answers
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°
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°.
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Related Questions
What is an equation of the line that passes through the points (6, 2)and (-6, -8)
Answers
Answer:
Step-by-step explanation:
(-8 - 2)/(-6 - 6)= -10/-12= 5/6
y - 2 = 5/6(x - 6)
y - 2 = 5/6x - 5
y = 5/6x - 3
ANYONE CAN HELP ME ?? :)
Answers
Answer:
12[tex]\frac{2}{3}[/tex] cm
Step-by-step explanation:
Have a nice day
Find the equation of the line that passes through (3,1) and is parallel to y = 3 − 2 x . Leave your answer in the form y = m x + c
Answers
Answer:
y=3-2x
Step-by-step explanation:
Parallel to y = 3 − 2 x => y=c-2x
Through (3,1) => 1=c-2(1) <=> c=3
Line is y=3-2x
One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.
Together, the boxes weigh 48 pounds.
If w represents the weight of the first box placed on the scale, write a problem ?
Answers
Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.
The second box weigh 10 pounds less than the first box. Hence:
y = w - 10
-w + y = -10 (1)
The two boxes weigh 48 pounds. hence:
w + y = 48 (2)
Solving both equations gives:
w = 29, y = 19
The first box weighs 29 pounds while the second box weighs 19 pounds.
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Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.
Answers
==========================================================
Explanation:
The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.
To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".
This means,
2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404Therefore, the first five terms are: -4, -14, -44, -134, -404
is 540 or 630 closest to 594
Answers
Answer:
630
Step-by-step explanation:
630 - 594 = 36
594 - 540 = 54
630 is closest to 594
Answer:
630 is closer
Step-by-step explanation:
The number of units separating 540 and 594 is 54; that separating 594 and 630 is 36. So 630 is closer to 594.
2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer
Answers
Answer:
parallel
Step-by-step explanation:
Answer:intersect
Step-by-step explanation:
4.5 x 30 =
tenths x 30 =
Answers
Answer:
4.5 x 30 = 135
0.1 x 30 = 3
Hint: something multiplied by 0.1 is the same as that same thing divided by 10.
Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of minutes she ran and the
distance she covered proportional?
Answers
Answer:
Yes
Step-by-step explanation:
Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional - Yes, this is proportional.
PLS HELP ME
How do you find the radius???
Answers
Answer:
r = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle OAB
with OM and OB the radii r of the circle
OA² = OB² + AB²
(r + 10)² = r² + 20² ← expand left side using FOIL
r² + 20r + 100 = r² + 400 ( subtract r² from both sides )
20r + 100 = 400 ( subtract 100 from both sides )
20r = 300 ( divide both sides by 20 )
r = 15
what is the y-intercept of the function, represented by the table of values below
Answers
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket
Answers
Answer:
$14Step-by-step explanation:
The difference of sales between the first and the second days is the cost of 85 tickets:
2310 - 1120 = 1190Cost of a ticket:
1190/85 = 14Find the slope of these two points that's the cost
(0,1120)(85,2310)Slope
m=2320-1120/85-0m=1432is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 32, slightly less than , slightly greater than 32, or a lot greater than 32 ? Explain
Answers
Answer:
A lot greater
Step-by-step explanation:
32 is 0.2% of the number, that is a small amount compared to what the whole is
Round 5.456 to the nearest tenth.
Answers
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
We use the hundredths place, so 5.
5 gets rounded up, so we have 5.5
The number of employees for a certain company has been decreasing each year by 4%. If the company currently has 710 employees and this rate continues, find the number of employees in 11 years.
Answers
Answer:
Answer is A
Step-by-step explanation:
Determine if the table represents a linear function, quadratic function, or exponential function.
Answers
Answer:
quadratic
Step-by-step explanation:
2. Ms.A buys 7 boxes of snacks. Each box has 12 packets of fruit snacks and 18 packets of cashews.
How many snack packets does she buy altogether?
Answers
Answer: 210
Explanation:
Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210
7 times 12 equals 84
7 times 18 equals 126
126 Plus 85 equals 210
Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260
Answers
Answer:
it is the $14 pack
Step-by-step explanation:
the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.
gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.
Answers
Step-by-step explanation:
According to the given we have following inequalities:
x + y ≤ 220y ≥ 4xSee the graph attached below.
Solution region is within the triangle with marked vertices.
The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21
Answers
Answer:
I have no clue I'm trying to get my account set up
Please help me marking brainless
Answers
Answer:
9/12 & 5/12
Step-by-step explanation:
You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12
Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys
Answers
Answer:
The answer is C
Step-by-step explanation:
The range of the function plotted on the graph is [-6, 9].
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the graph of a function shown in the image.
Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].
Therefore, the range of the function plotted on the graph is [-6, 9].
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The first term of an arithmetic sequence is 10. The 7th term is 28. What is the common difference of the arithmetic sequence?
Answers
Answer:
the answer is A1
Step-by-step explanation:
{a7} = 10 = a1 + 7*4
10 = a1 + 28
-28 - 28
-18 = a1
Please help find x it would helpful
Answers
Answer:
12
Step-by-step explanation:
Apply the second theorem of Euclides.
x^2= 16*9 follows that x = sqrt(9*16) = sqrt(144) = 12
sqrt means square root
Explanation:
A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?
Answers
Answer:
i think 222 for eatch side
Step-by-step explanation:
what is the square of 0.81?
Answers
Answer:
0.9 or 9/10Step-by-step explanation:
what is the square of 0.81?
0.9
The square root of 0.81 is equal to 0.9 or 9/10
--------------
check
0.9 * 0.9 = 0.81
the answer is good
Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser
Answers
Answer:
75%
Step-by-step explanation:
Jane’s bank account grew from $2175 to $2262. What was the percent increase in her account?
Answers
Answer:
I believe it increased by 10%
Step-by-step explanation:
Express 0.12 as a fraction
Answers
Answer:
Your answer is 3/25
Step-by-step explanation:
Answer:
The answer is 12/100 or 6/50
Carlisle purchased one-fourth of a pound of candy at the mall. What decimal did he see on the scale?
0.25
0.40
0.20
0.14
