Answers
Answer:
8 units
Step-by-step explanation:
» Concepts
Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.
» Application
In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.
» Solving
Step 1: Subtract q from both sides.
[tex]4q-8-q=q+4-q[/tex] [tex]3q-8=4[/tex]Step 2: Add 8 to both sides.
[tex]3q-8+8=4+8[/tex] [tex]3q=12[/tex]Step 3: Divide both sides by 3.
[tex]3q/3 = 12/3[/tex] [tex]q=4[/tex]Step 4: Plug in the value of q for side AB.
[tex]4(4)-8[/tex] [tex]16-8[/tex] [tex]8[/tex]Therefore, the answer is 8 units.
Related Questions
describe another way you could slice the pyramid that would result in a different cross section
Answers
Answer:
45 degree ange slice
Step-by-step explanation:
PLEASE HELP!!!
What type of association does the following scatterplot plot represent
A-Positive linear association
B-Negative linear association
C-Positive nonlinear association
D-Negative nonlinear association
Answers
Answer:
b
Step-by-step explanation:
...
Ibrar buys 3kg of apples. He also buys 0.4kg of mushrooms. The total cost is £6.93. 1kg of apples cost £1.95. Work out the cost of 1kg of mushrooms
Answers
Answer:
1 kg of mushrooms costs £2.7.
Step-by-step explanation:
Step 1: Write equations.
Let a be the cost of apples per kg and m the cost of mushrooms per kg.
First equation: Ibrar buys 3 kg of apples. He also buys 0.4 kg of mushrooms. The total cost is £6.93.
[tex]3a + 0.4m = 6.93[/tex]
Second equation: 1 kg of apples cost £1.95.
[tex]a = 1.95[/tex]
Step 2: Solve the system of equations.
1) [tex]3a + 0.4m = 6.93[/tex]
2) [tex]a = 1.95[/tex]
Substitute a in the first equation with a from second.
[tex]3a + 0.4m = 6.93\\3(1.95) + 0.4m = 6.93[/tex]
Solve for m.
[tex]5.85 + 0.4m = 6.93\\0.4m = 6.93 - 5.85 \\0.4m = 1.08\\m = \frac{1.08}{0.4}\\m = \text{\£}2.7[/tex]
The cost of 1 kg of mushrooms is £2.7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ibrar buys 3kg of apples
Ibrar buys 0.4kg of mushrooms.
The total cost is £6.93
3x+0.4y=6.93...(*)
1kg of apples cost is £1.95
x=1.95
Substitute the value of x in *
3(1.95)+0.4y=6.93
5.85+0.4y=6.93
Subtract 5.85 on both sides
0.4y=6.93-5.85
0.4y=1.08
Divide both sides by 0.4
y=2.7
Hence, the cost of 1 kg of mushrooms is £2.7.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Find the sum of the interior angles of a regular decagon. (10-sided figure)
Answers
Answer:
The interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.
Step-by-step explanation:
Search "angle of a decagon"
What is the slope of the line containing (-2,9) and (3,-1)?
A. 2
B. -2
C.-1/2
D 1/2
Answers
slope is
9-(-1)/-2-3
10/(-5)
=-2
slope is -2
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the slope of the line containing (-2, 9) and (3, -1)?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can find the slope using the following formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bigstar[/tex] substitute the numbers in lieu of the letters:-
[tex]\boxed{\frac{-1-9}{3-(-2)}}[/tex]
[tex]\dagger[/tex] On simplification,
[tex]\boxed{\frac{-10}{3+2}}[/tex]
[tex]\dagger[/tex] On further simplification,
[tex]\boxed{\frac{-10}{5}}[/tex]
[tex]\dagger[/tex] Which simplifies to
[tex]\boxed{Slope=-2}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Which is the correct order of mass from least to greatest
Answers
Nitrogen, Helium, Hydrogen
C,B,A
3. Which statement is true?
Answers
Answer:
C
Step-by-step explanation:
A is wrong because 10 is not prime
B is wrong because still above^^
D is wrong because diagonals of a rhombus are not congruent.
So C is correct
What word best describes the DEMAND for snow boots in Florida?
A. High in the winter
B. High all year long
C. Low in the fall
D. low all year long
Answers
Answer:
D low all year long because it doesn't snow in Florida
Step-by-step explanation:
Answer:
D. Low all year long
Step-by-step explanation:
It rarely snows in Florida, even in northern Florida.
Please help ?
What association does the scatter plot show?
A - positive nonlinear association
B - positive linear association
C - no association
D - negative nonlinear association
E - negative linear association
Answers
Answer:
C - no association
Step-by-step explanation:
The data isn't linked/following a general trend.
Write the expression using exponents. 95 · 95 · 95 · 95 95
Answers
Answer:
95 to the power of 5
Step-by-step explanation:
J(2,−1), K(4,−5), L(3, 1) reflection x axis
Answers
Answer:
△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
Step-by-step explanation:
If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are not congruent.
- Jackson
Let f be the function given by f(x) = x^3 5x for what value in the closed interval [1,3]
Answers
If the average rate of change is 18, then the value of the x is √(13/5). Then the correct option is B.
What is the average rate of change?It's an average of how far the functions changed per unit throughout that time period.
Let f be the function given by f(x) = x³ + 5x.
Then the value in the closed interval [1,3] will be
The instantaneous rate of change will be
[tex]f'(x) = 3x ^2 + 5[/tex]
Then the average rate of change will be
[tex]= \dfrac{f(3) - f(1)}{3-1} \\\\= \dfrac{(3^3 + 5\times 3) - (1^3 + 5 \times 1)}{3-1}\\\\= 18[/tex]
Then we have
3x² + 5 = 18
Then the value of x will be
[tex]\begin{aligned} \rm 3x^2 + 5 &= 18\\\\\rm x &= \sqrt{\dfrac{13}{3}} \end{aligned}[/tex]
More about the average rate of change link is given below.
https://brainly.com/question/24062595
#SPJ4
Name the solution(s) for the system of equations.
Answers
Answer:
(1,5)
(-1,3)
Step-by-step explanation:
The solution is in the image
Multiply.
- 5x(2x²y - 3xy² + 5)
A. - 10x³y + 15x²y² - 25x
B. - 10x³y - 15x²y² - 25x
C. - 10x²y + 15xy² - 25x
D. - 10x²y - 15xy² - 25x
Answers
A jar contains 3 blue marbles and 2 red marbles.
A marble is randomly selected from the jar and replaced, and then a second marble is chosen.
The probability that a blue marble was chosen both times is __%.
Answers
Answer: 9/25 or 36%
Step-by-step explanation:
The first time it is a probability of 3/5, and the second blue also has a prbability of 3/5. Multiply them together since it is an "and" situation, and you get 9/25. Or, in percentages, it is 60% * 60%, or 0.6 * 0.6, which is 36% or 0.36. Hope this helps!
Answer:
the correct answer is 36%
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
which point best represents \sqrt{10}
Answers
Answer:
Point Q
Step-by-step explanation:
Find the perfect squares that are either side of 10.
Perfect squares: 1, 4, 9, 16, 25, ....
Therefore, 10 is between 9 and 16.
[tex]\implies \sqrt{9} < \sqrt{10} < \sqrt{16}[/tex]
[tex]\implies 3 < \sqrt{10} < 4[/tex]
So √10 is between 3 and 4.
As 10 is closer to 9 than it is to 16, √10 is closer to √9 than √16, which means that √10 is closer to 3.
Therefore, point Q best represents √10
D is at the top of a tree 8 meters tall. you are on the ground, 10 meters away from the bird. how far are you
the base of the tree?
710 meters
36 meters
6 meters
v6 meters
Answers
50 points!!!
A quadratic function has one solution at x=-2-√6
What is the exact value of the other root?
x= ________
Answers
Answer:
Step-by-step explanation:
Discussion
The form of this root is a "mirror image" of the root that is given. They come in pairs.
So the exact value of the other root is
x = - 2 + √6
You should be very careful looking at this root. The only difference is the plus sign where the minus sign used to be.
The given root has to be of the form a rational number ± an irrational number.
Later on, when you get into higher math classes, you will find there is another kind of number that this same rule applies to.
12x^2+ 16x factor by gcf
Answers
Answer:
The factor of 12x^2 + 16 is 4x (3x+4)
A concert is being held in an auditorium that seats 600 people. the balcony seats 50 people and there sre 55 rows in the remainder of thr auditorium how msny chairs are in each row
Answers
Answer:
10 seats
Step-by-step explanation:
600-50 = 550
550/55 = 10
Part b find the total number of pounds of cheese ordered. a. 11 pounds b. 13 pounds c. 15 pounds d. 17 pounds
Answers
Answer:
B po I'm sure that's is answer thank you
Simplify the algebraic expression
Answers
The simplified form of the given algebraic expression will be 13/8 x - 5/6.
How to find the sum of algebraic fractions?Finding the least common multiples of the denominator expressions can help.
Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.
For example,
[tex]\dfrac{a}b} + \dfrac{c}{d} = \dfrac{a \times d + c \times b}{bd}[/tex]
We have the given algebraic expression. we need to simplify the expression.
[tex]\dfrac{3}{4}x -\dfrac{1}{3} +\dfrac{7}{8} x-\dfrac{1}{2} \\\\\\\dfrac{3}{4}x +\dfrac{7}{8} x-\dfrac{1}{3} -\dfrac{1}{2} \\\\\\\dfrac{(6+7)}{8} x - \dfrac{(2+3)}{6} \\\\\\\dfrac{13}{8} x - \dfrac{5}{6}[/tex]
Learn more about multiplication here:
https://brainly.com/question/26816519
#SPJ1
Help me pls which one ahhh ??? Help will make brainlessly
Answers
Answer:
C
Step-by-step explanation:
There are nine lines between 0 and 1
The line the red dot is on is 0.9
Simplify 68.5/100 * 30.
Answers
Answer:
The answer to the question is 20.55.
Answer:
20.55
Step-by-step explanation:
1 Simplify 68.5/100 to 0.685.
0.685×30
2 Simplify.
20.55
Which equation correctly demonstrates the distributive property?
A. 7(6c - 4d) = 14cd
B. 30(3a + 2b) = 90a + 60b
C. 16(3j - 4k) = 48j - 4k
D. 4(2f + 5g) = 28fg
Answers
Answer:
B.
Step-by-step explanation:
b is the correct answer
31) Given the parent function f(x) = |x|, describe the translation of the function g(x) = 2|x] + 9 from the parent function.
Answers
Answer:
the graph is shifted up 9, compressed by a factor of 2
Step-by-step explanation:
General form of an absolute value equation:
f(x)= a|x - h| + k
The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h tell us how far the graph shifts horizontally and vertically.
parent function f(x) = |x|,
the translation of the function g(x) = 2|x| + 9 from the parent function.
- the +9 shift the graph up 9
- the 2 compresses the graph
do all three.. Write the product using exponents.
Answers
Answer:
2. [tex]-2^{3}[/tex]
4. [tex]-1.2^{3}[/tex]
6. [tex]-100n^{3}[/tex]
Step-by-step explanation:
hope this helps and is right!! p.s. i really need brainliest :)
7. how many tiles measuring
20cm x 20cm
are needed to tile a bathroom 3.5m long
and 2.8m wide?
Answers
Answer:
245 tiles
Step-by-step explanation:
1 meter = 100 cm
Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²
Area of each tile = 20cm x 20cm = 400 cm²
Total number of tiles required = 9800/400 = 245
Note
Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles
17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252
Find BC. Please help fast I really need this answer for this test !!!
Answers
Answer:
16
Step-by-step explanation:
10*2 = 20
8*2 = 16
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
30
Sampling Populations
View One Minute Version
Overview
Sampling Populations
Answers
Answer:
it's estimated that 750 students in the whole school dislike the 8:30am start time.
Step-by-step explanation:
Since 30 of the 40 students said "no", it means 30/40, or 3/4 of the random sample disliked the 8:30am start time. Multiply this by the whole population: 1,000 × (3/4) = 750.
Another way to check this is using 10/40 = .25 and doing 1000x.25 = 250 (the amount of students who liked it). Then subtract from whole population and it's 750.
