Answer:
C
Step-by-step explanation:
Consider trapezoid ABCD with
A is the midpoint of ED
C is the midpoint of BF
=> AC is the median of trapezoid EBFD
=>(EB+DF) / 2 = AC
=>(13+x) / 2 = 19
=> 13+x = 38
=> x= 25
The value of x is 5.
According to the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In mathematical terms, we can express this as:
(a/b) = c
Where the values of a = 13, b = 19
Now, we can substitute the given values into the proportionality equation:
(13/19) = c
Next, we can cross-multiply the equation:
c = 0.68
Then the value of x is calculated by adding 4.32 on it then we get the value of x as
=> x = 0.68 + 4.32
=> x = 5
Hence the correct option is (b).
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simplify (4+√3)(4-√3)
Answer:
13
Step-by-step explanation:
(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13
Answer:
Step-by-step explanation:
(a + b)(a -b) =a² - b²
a = 4 and b = √3
(4 + √3)(4 - √3)= 4² - (√3)²
= 16 - √3*√3
= 16 - 3
= 13
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer
If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there
Answer:
It is over 7 days
hope it helps
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answer:
16+74
Step-by-step explanation:
substitute 16 into the equation
(3x)2 – 7y2, when x = 3 and y = 2
[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]
Answer:
115
Step-by-step explanation:
(3x)^2 – 7y^2
Plug in:
(3×3)^2 – 7×2^2
9^2 - 14^2
81 - 196
115
Hope this helped.
a horizontally laid standard weight pipe has a diameter of 10 inches and is 12 feet long. The pipe is filled 9 inches high with water. How many gallons of water does the pipe hold? (Round your answer to the nearest gallon.) Please help.
Answer:
d isósceles hijo muy graciosa ya no me acuerdo de nada y tu q ases hablas con el
Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.
Answer:
-11, 3
Step-by-step explanation:
We know one of the roots are
[tex](x+ 4) {}^{2} = 49[/tex]
[tex]x + 4 = - 7[/tex]
[tex]x + 4 = 7[/tex]
[tex]x = - 11[/tex]
or
[tex]x = 3[/tex]
Which of the following are valid probability distributions?
Answer:
Step-by-step explanation:
(10x²+19x+6) ÷(5x+2)
Answer:
2x + 3
Step-by-step explanation:
(10x² + 19x + 6) ÷ (5x + 2) =
= (10x² + 15x + 4x + 6) ÷ (5x + 2)
= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)
= [(5x + 2)(2x + 3)] ÷ (5x + 2)
= 2x + 3
Answer:
2x+3 is your answer
If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?
Step-by-step explanation:
jsndmdmsmsnananansndbdbnd
Help me please. I don't understand geometry.
3. In a school, there are 450 students in total. If 2⁄3 of the total students are boys, find the number of girls in the school. What percent of the students are boys? Show your work or explain how you calculated your answer
Answer:
150 girls
66.7%
Step-by-step explanation:
2/3 × 450 = 300 boys
450 - 300 =150 girls
second question:
300/450 × 100
=66.66666667
=66.7% Students are boys
There are 150 girls in the school, and approximately 66.67% of the students are boys.
What percent of the students are boyslet's break this down step by step:
1. Total number of students: 450
2. Boys make up 2/3 of the total students.
Number of boys = (2/3) * 450
= 300 boys
3. To find the number of girls, subtract the number of boys from the total:
Number of girls = Total students - Number of boys
= 450 - 300
= 150 girls
Now, let's calculate the percentage of students that are boys:
Percentage of boys = (Number of boys / Total students) * 100
= (300 / 450) * 100
= 66.67%
So, there are 150 girls in the school, and approximately 66.67% of the students are boys.
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A circle is represented by the equation below:
(x − 9)2 + (y + 8)2 = 16
Which statement is true?
a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.
Answer:
The center is (9,-8) and the diameter is 8
Step-by-step explanation:
(x − 9)^2 + (y + 8)^2 = 16
A circle is in the form
(x − h)^2 + (y -k)^2 = r^2 where (h,k) is the center and r is the radius
(x − 9)^2 + (y - -8)^2 = 4^2
The center is (9,-8) and the radius is 4
The diameter is 2 times the radius so the diameter is 8
The center is (9,-8) and the diameter is 8
Find the missing value.
Hint: Use the number line to find the missing value.
了。
-(-2)
{
开
-10
-5
→
15
0
5
10
-15
Answer:
-5
Step-by-step explanation:
-5 -(-2)
=-7
I hope this helped!Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya. How old is Elliot now?
Answer:
Step-by-step explanation:
To solve this, we are going to make an age table:
Age Now Age 10 years ago
Tanya
Elliot
Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:
Age Now Age 10 years ago
Tanya x
Elliot 2x
Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:
Age Now Age 10 years ago
Tanya x x - 10
Elliot 2x 2x - 10
Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:
10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:
2x - 10 = 4(x - 10) and
2x - 10 = 4x - 40 and
-2x = -30 so
x = 15. That means that Elliot is 30 and Tanya is 15
calculate the speed, in ms-¹ of vehicle A and of vehicle B
9514 1404 393
Answer:
A: 0.32 m/sB: 0.56 m/sStep-by-step explanation:
The speed is the ratio of the change in distance to the corresponding change in time.
Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...
A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s
Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...
B = (28 m)/(50 s) = 0.56 m/s
what number is smallest 2,-3,-10,-5,-2-1
Answer:
2,-3,-10,-5,-2-1The smallest number is -10
Answer:
it's -10
Step-by-step explanation:
Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.
hope this helps
Relationship between q and t pleaseeee helppppp
Step-by-step explanation:
it is simple.
there is a constant speaking time of 25 minutes.
the duration of the meeting is the speaking time plus the question answering time.
so,
q = 1 means t = 25 + 1 = 26
q = 2 means t = 25 + 2 = 27
q = 3 means t = 25 + 3 = 28
q = 8 means t = 25 + 8 = 33
Please show your work
[tex]1\frac{2}{3} + 2\frac{3}{4}[/tex]
Answer:
[tex]→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓[/tex]
53/12 is the right answer.Steps:
1 2/3 + 2 3/4 can also be written as...
5/3 + 11/4
The LCD is 12 so we make both fractions have a denominator of 12.
That gives us 20/12+33/12
Now you can add the numerators (but leave the denominator the same)
That gives us 53/12, but our simplified version would give us 4 5/12 as our final answer.
Answer:
[tex]4\frac{5}{12\\}[/tex]
Please mark brainliest if that helps!
[tex](32)^{1/5}[/tex]
Answer:
2Step-by-step explanation:
[tex] {32}^{ \frac{1}{5} } [/tex]
[tex] = \sqrt[5]{32} [/tex]
[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]
= 2 (Ans)
please HELP ME!!! (16 POINTS) due today :)))
Answer:
Step-by-step explanation:
I'm not sure what the question is asking, but if you mean the angles in the blue lines
First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10
Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60
Third one, the given angle is 75 so 90-75=15.
The answers would be 10, 60, and 15.
8. The value of [3 - 4 * (3 - 4) ^ 4] ^ 3 is
a) 1
b) -1
c)0
d) 7
help me please
Answer:
-1
Step-by-step explanation:
[3-4(-1)^4]^3
=>(3-4)^3
=>(-1)^3
=>-1
Answer From Gauth Math
Answer:
-1
Step-by-step explanation:
[tex][3-4*(3-4)^4]^3[/tex]
[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]
Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.
how many line of symmetry is this figure
Answer:
There are sixteen lines.
Maya just bought a refrigerator for $642. She paid $160.40 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
120.40 per payment
Step-by-step explanation:
Subtract the down payment
642 - 160.40
481.60
Divide this by 4
481.60 / 4
120.40
is 1/5 a rational or irrational number (20 points pls help)
Answer:
rational
Step-by-step explanation:
Answer:
it's Rational Number
Step-by-step explanation:
since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number
Can someone help me on this math question its confusing ill give brainly when right!!!
Answer:
x=5
Step-by-step explanation:
x=[tex]\sqrt{25}[/tex]
x=5
Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.
Explanation:
In the LS column, you'll have these steps
3x - 1
3*4 - 1
12 - 1
11
Effectively, we replaced x with 4 and then simplified using PEMDAS.
And in the RS column, you'll have these steps
x + 7
4 + 7
11
We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7
The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?
Answer:
2730÷30=91
Step-by-step explanation:
take the number of books and divide it by the number of books each shelve can hold and ull get ur answer
Find C to two decimal places and find the measurement of angle be use your calculator
Let's solve
P=8B=5Using Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]
[tex]\\ \sf\longmapsto c^2=64+25[/tex]
[tex]\\ \sf\longmapsto c^2=89[/tex]
[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]
[tex]\\ \sf\longmapsto c\approx 9.22[/tex]
PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.
Answer:
C
Step-by-step explanation: