Answers
Answer:
[tex]x = \dfrac{147}{13}[/tex]
Step-by-step explanation:
Please refer to attached for labeling of the diagram:
We have 2 triangles here in the figure:
[tex]\triangle ABC \text{ and }\triangle BDE[/tex].
1. [tex]\angle B[/tex] is common to both the triangles.
Sides AC || DE (parallel sides):
So, Corresponding angles will be equal
2. [tex]\angle A = \angle D[/tex]
3. [tex]\angle E = \angle C[/tex]
So, [tex]\triangle ABC \text{ and }\triangle BDE[/tex] are similar to each other.
Similar triangles have ratio of their sides as equal.
So, [tex]AB : BD = BC : BE[/tex]
[tex]\Rightarrow \dfrac{6+7}{6} = \dfrac{21}{21-x}\\\Rightarrow \dfrac{13}{6} = \dfrac{21}{21-x}\\\Rightarrow 13 \times (21-x) = 21 \times 6\\\Rightarrow 13x = 7 \times 21\\\Rightarrow x = \dfrac{147}{13}[/tex]
Hence, [tex]x = \dfrac{147}{13}[/tex]
Related Questions
What is (7x − 9) + (3x + 14)?
Answers
Answer:
[tex](7x - 9) + (3x + 14) = 10x + 5[/tex]
Step-by-step explanation:
[tex]\left(7x-9\right)+\left(3x+14\right)[/tex]
Remove parentheses: [tex]\left(a\right)=a[/tex]
[tex]=7x-9+3x+14[/tex]
Group like terms:
[tex]=7x+3x-9+14[/tex]
Add similar elements: [tex]7x+3x=10x[/tex]
[tex]=10x-9+14[/tex]
Add/Subtract the numbers: [tex]-9+14=5[/tex]
[tex]=10x+5[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
Answer:
pls refer to the pic
Step-by-step explanation:
PLS MARK ME AS BRAINLIAST PLS MARK ME AS BRAINLIAST AND DON'T FORGET TO FOLLOW AND THANKS MY ANSWER PLS MARK ME AS BRAINLIAST AND DON'T FORGET TO FOLLOW AND THANKS MY ANSWER HOPE IT HELPS.....Remy wanted to measure the angle of the slide in the playground. He used a piece of folded paper that was 10°. He measured that 3 of the folded paper angles would fit in the angle made by the slide. What was the angle of the slide?
Answers
Answer:
30°
Step-by-step explanation:
Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:
10° * 3 = 30°
The angle of the slide is 30°
Jenna constructs the model to represent 3x2 + 11x – 4. An algebra tile configuration. 0 tiles are in the Factor 1 spot. 0 tiles are in the Factor 2 spot. 20 tiles are in the Product spot in 4 columns with 5 rows. First row: 3 + x squared, 1 negative x. The last 4 rows are the same: 3 + x, 1 negative. What factors does Jenna need to model for the sides? (3x + 1) and (x – 4) (3x – 1) and (x + 4) (3x – 2) and (x + 2) (3x + 2) and (x – 2)
Answers
Answer:(3x – 1) and (x + 4)
Step-by-step explanation:
Jenna needs to model the factors (3x – 1) and (x + 4) for the sides of the configuration. The correct answer would be an option (B).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
The model is given in the question, as follows:
3x² + 11x – 4
Each row has a coefficient of 3 and an x term, which can be modeled with 3 tiles and 1 tile, respectively.
The first row has a constant term of -1, which can be modeled with 1 tile in the Factor 1 spot.
The second row has a constant term of 4, which can be modeled with 4 tiles in the Factor 2 spot.
So, the configuration shows the correct factors (3x – 1) and (x + 4) for the sides of the model.
Learn more about the Factorization here:
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Number of people for x tents if each tent can accommodate 4 people.
Answers
Answer:
4xpeople
Step-by-step explanation:
one tent accommodates 4 people
x tent will accommodate 4xpeople
Not sure
Answer:
[tex]4x[/tex]
Step-by-step explanation:
Each tent can accommodate 4 people.
1 tent is [tex]1x[/tex]
[tex]1x \times 4[/tex]
What is the measure of A?
Answers
ΔABC is an equilateral triangle.
All 3 angles must be equal in an equilateral triangle.
[tex]180/3[/tex]
[tex]=60[/tex] °
240 people are going to a charity event 3/5 of the guests have ordered chicken for their meals of the remaining guests 12.5% have ordered gluten free meals how many people haven't ordered their meals yet?
Answers
Answer: 84 people
Step-by-step explanation:
From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:
= 240 - 144
= 96 people.
Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.
The people who haven't ordered their meals yet will be:
= 96 - 12
= 84 people.
Using the appropriate arithmetic operations, the number of guests who haven't made an order yet is 126
Total number of guests = 240Chicken orders = 3/5 × 240 = 144
Number left = 240 - 144 = 96
Gluten free meat = 12.5% × 144 = 18
Not yet ordered = 144 - 18 = 126
Therefore, the Number of guests who haven't made an order yet is 126
Learn more : https://brainly.com/question/18581754
What is the median of this data set
Answers
Answer:
52.5
Step-by-step explanation:
median is where u find the middle number
put them in order first
24,28,51,54,67,70
its between 54 and 51
Find the volume of a cylinder 10mi and 22mi
Answers
Answer:
If the radius is 10mi, height is 22mi, the answer is V≈6911.5
If the radius is 22mi, height is 10mi, the answer is V≈15205.31
Find the diameter, area and circumference.
11
0
Answers
Answer:
diameter = two times the radius
2r
the area = πr²
the circumference= 2πr
hope it helps
Circumference & Area of Circles: Question 10
In baseball, the next batter waits in the on-deck circle. If the diameter
of the on-deck circle is 5 feet, what is its approximate circumference?
(Urex= 314)
Select one
01571
o
Answers
Answer:
i got 19.625 if you round it you should get either 20 or 19.6
Step-by-step explanation:
if im wrong sorry
The question is above please help
Answers
Answer:
i believe it's C i may be wrong
Step-by-step explanation:
The graph below represents the system of equations 3x+4y=12 and 2x-y=8. A coordinate grid with 2 lines. One line passes through (0, 3) and (4, 0). The other line passes through (2, negative 4) and (4, 0). Which ordered pair is a solution to the system of equations? (0, 3) (3, 0) (4, 0) (0, 4)
Answers
Answer:
C. (4,0)
Step-by-step explanation:
Given a graph of the system of equations
3x+4y=12; and
2x-y=8.
Line 1 passes through (0, 3) and (4, 0).Line 2 passes through (2, -4) and (4, 0).We can see that both lines pass through (4,0). Therefore, (4,0) is a point of intersection of the two lines.
It is therefore a solution to the system of equations.
Solve 15 > -3x or 2/5 x > -2
Answers
Answer:
Step-by-step explanation:
the second one
Please I need help ASAP
Answers
Answer:
Step-by-step explanation:
V= π(8)^2(12/3)
V= 64(4)π
V= 256π
V= 804.3 cm^3
Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram. 2 students are randomly selected. What is the probability that both of them use it? (Write answer as a decimal. Do not round)
Answers
Answer:
[tex]P(X=2) =0.3906[/tex]
Step-by-step explanation:
Proportion of students using the app, p = 63/100 = 0.63
Proportion of students not using the app, q = 1 - 0.63 = 0.37
Sample size, n = 2
Probability that the two students are using the app.
[tex]P(X = r) = nCr p^{n} q^{n-r} \\P(X = 2) = 2C2 *0.63^{2} *0.37^{2-2}\\P(X = 2) = 2C2 *0.63^{2} *0.37^{0}\\P(X=2) = 0.63^{2} \\P(X=2) =0.3906[/tex]
Can someone please explain to me what quadrants on a coordinate plane means, for brainliest and some points.
Answers
I NEED HELP ITS ON FUNCTIONS! HELPPPPPPPPPPP
Explanation needed
Answers
Answer:
D
Step-by-step explanation:
A function of x means that there can only be one value of y per x value. Therefore, D does not match this because there are 4 values of y per x value (3).
Answer:
D
Step-by-step explanation:
Each x value can have only ONE y value
this means that there cannot be more than one of the same x value:
think of the x values as an input, each input has one output right?
ex:
input: 7
output:8
input:3
output:2
how is it possible that the same input has different outputs?
input: 5
output: 6,7
this does not make any sense, one input should only have one output hence, one value of x(input) should have only one value of y(output)
Hope this helps!
Given a right triangle with b=3 and c=5 find leg a? Show your work
Answers
Find attached to this question, the diagram of the right angle triangle
Answer:
Leg a = 4
Step-by-step explanation:
A right angle triangle has 3 sides : side a, b and c
The formula to solved for a right angle triangle =
a² + b² = c²
In that above question,
a = unknown
b = 3
c = 5
Therefore,
a² + 3² = 5²
a² = 5² - 3²
a² = 25 - 9
a² = 16
a = √16
a = 4
Therefore, leg a = 4
The table shows the number of championsthips won by the baseball and softball leagues of three youth baseball
divisions organized by age groups.
Baseball League (B) Softball League (5)
Ages 7-9 C93
Ages 10-12M 2
Ages 13-15 (
2
if the winning team plays in the Ages 10-12 division, find the probability that the team is in the Basebal League. Answer
in terms of a reduced fraction.
a0
R(BIY)
Answers
Answer:
7/10
Step-by-step explanation:
Finding the totals of each column and row, we find:
There are 3+2+1 = 6 children in the baseball league.
There are 7+2+1 = 10 children in the softball league.
There are 3+7 = 10 children in the 7-9 division.
There are 2+2 = 4 children in the 10-12 division.
There are 1+1 = 2 children in the 13-15 division.
There are a total of 10+6 = 16 children.
We start with the information that the team is a member of the softball league. There are 10 children in this league; this is the denominator of the probability.
There are 7 children in the 7-9 division that are in the softball league. This gives us the probability 7/10.
correct me if this is wrong
uually Cxpressions
Which expressions are equal to 0 when x=-1? Check all that apply.
(4x + 5)
4(x - 1)
(5 - 4x)
40% - (-1))
(4 7 + 5)
(4x + 5)
4(x + 1)
(5 - 4x)
Intro
Answers
Answer:
Which expressions are equal to 0 when x = –1? Check all that apply.
StartFraction 4 (x plus 1) Over (4 x plus 5) EndFraction
StartFraction 4 (x minus 1) Over (5 minus 4 x) EndFraction
StartFraction 4 (x minus (minus 1)) Over (4 x plus 5) EndFraction
StartFraction 4 (x plus (minus 1)) Over (4 x plus 5) EndFraction
StartFraction 4 (x plus 1) Over (5 minus 4 x) EndFraction
Step-by-step explanation:
Temperatures in °F can be converted in °C
Answers
Answer:
[tex] \frac{9c + 160}{5} [/tex]
Step-by-step explanation:
C = 5(F - 32)/9
so we do a little algebra here
9C = 5F - 160
we move both side
5F - 160 = 9C
5F = 9C + 160
so in the end
F =
[tex] \frac{9c + 160}{5} [/tex]
a = 9
b = 160
c = 5
Answer:
[tex]F=\frac{9C+160}{5}[/tex]
Step-by-step explanation:
[tex]C=\frac{5(F-32)}{9}[/tex]
Multiply both sides with 9.
[tex]9C=5(F-32)[/tex]
Use distributive property.
[tex]9C=5F-160[/tex]
Add 160 to both sides.
[tex]9C+160=5F[/tex]
Divide 5 to both sides.
[tex]\frac{9C+160}{5}=F[/tex]
rate of change for y=5x+25
Answers
Answer:5
Step-by-step explanation:
rate of change is the same thing as slope (or m)
The required rate of change for the given equation y = 5x + 25 is 5.
Given that,
For the given equation y =5x +25 the rate of change is to be determined.
The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What is the rate of change?The rate of change is defined as the change in value with the rest of the time is called rate of change.
Here,
The given equation,
y = 5x + 25
Differentiate the above equation with respect to x,
dy/dx = d(5x +25)/dx
dy/dx = 5dx/dx + d25/dx
dy/dx = 5 (since dx/dx =1 and d25/dx = 0)
here dy/dx is the slope of the equation or m or rate of change = 5
Thus, the required rate of change for the given equation y = 5x + 25 is 5.
Learn more about the rate of change here:
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Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 1.
Answers
Answer:
zero
Step-by-step explanation:
probability of getting total of 1 is zero
minimum of total can be 1+1=2
16 points!
What is the length of line AB?
√17
√35
6
4
Answers
Answer:
i think its 6
Step-by-step explanation:
The length of the diagonal of the rectangular prism will be √35 units. Then the correct option is B.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The dimension of the rectangular prism will be 3 units long, 5 units wide, and 1 unit high. Then the diagonal of the prism is given as,
D² = 3² + 5² + 1²
Simplify the equation, then we have
D² = 3² + 5² + 1²
D² = 9 + 25 + 1
D² = 35
D = √35 units
The length of the diagonal of the rectangular prism will be √35 units. Then the correct option is B.
More about the rectangular prism link is given below.
https://brainly.com/question/12649592
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Graph f(x) = -1/2x click on the graph till f(x) =-1/2x appears
Answers
Answer:
Step-by-step explanation:
3 + 2(2x + 8) = 1 is equivalent to:
Answers
Answer:
x = [tex]-\frac{9}{2}[/tex]
Step-by-step explanation:
=> 3+2(2x+8) = 1
=> 3+4x+16 = 1
=> 4x+19 = 1
=> 4x = 1-19
=> 4x = -18
Dividing both sides by 4
=> x = [tex]-\frac{18}{4}[/tex]
=> x = [tex]-\frac{9}{2}[/tex]
Answer: -9/2
Step-by-step explanation:
3 + 2(2x + 8) = 1
3 + 4x + 16 = 1
19 + 4x = 1
4x = -18
x = -18/4 = -9/2
i need help with this question( just a simple equation):
3. Greta has two part-time jobs. She earns $14/h at her first job and earns $12.50/h at the second job. In one week, she earned $500.
a) Write an equation that models this information. (hint: define your variables first – what do you not know?)
Answers
Answer:
I'm pretty sure it's
14x + 12.50y = 500
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
49
Step-by-step explanation:
y = 7^2
= 49
Fred is planning a fundraiser where he will collect $4.50 fir every mile he runs.
Answers
Need some help with number word problems, tysm if you do :)
Answers
Answer:
Read below
Step-by-step explanation:
x is always the smaller number
y is always the larger number
underlined means it's the question
bolded means it's the answer
1.
One number is 6 times as large as another. Their sum is 42. Find the numbers.
The numbers need to fit the criteria:
6x=yx+y=42A. 6+36=42 (correct)
B. 7+42=49 (incorrect)
C. 7+35=42 (incorrect because it doesn't follow the 1st rule)
D. 6+42=48 (incorrect)
Only A. 6, 36 fits the criteria.
2.
One number is 3 less than another. Four times the smaller is 4 more than 3 times the larger. Find the numbers.
The numbers need to fit the criteria:
x+3=y4x-4=3yA.
4+3=7
12-6≠21 (incorrect)
B.
7+3=10
28-3≠30 (incorrect)
C.
13+3=16
52-4=48 (correct)
D.
9+3≠13 (incorrect)
Only C. 13, 16 fits the criteria.
3.
One number is 4 less than another. Five times the smaller is 3 less than 4 times the larger. Find the numbers.
The numbers need to fit the criteria:
x+4=y5x+3=4yA.
13+4=17
65+3=68 (correct)
B.
-23+4= -19
-115+3≠ -76 (incorrect)
C.
17+4=21
85+3≠84 (incorrect)
D.
-11+4+ -7
-35+3≠ -33 (incorrect)
Only A. 13, 17 fits the criteria.
4.
The sum of two numbers is 23. When three times the smaller is subtracted from the larger, the result is 3. Find the numbers.
The numbers need to fit the criteria:
x+y=23y-3x=3A.
5+18=23
18-15=3 (correct)
B.
8+15=23
15-24≠3 (incorrect)
C.
-13+36=23
36+39≠3 (incorrect)
D.
-5+28=23
28+15≠3 (incorrect)
Only A. 5, 18 fits the criteria.
5.
The sum of two numbers is 26. When twice the smaller is subtracted from the larger, the result is 2. Find the numbers.
The numbers need to fit the criteria:
x+y=26y-2x=2A.
8+18=26
18-16=2 (correct)
B.
9+17=26
17-18≠2 (incorrect)
C.
7+19=26
19-14≠2 (incorrect)
D.
6+20=26
20-12≠2 (incorrect)
Only A. 8, 18 fits the criteria.
