PLZ HELP ME FAST! Given that ∠MQL = 180° and ∠XQR = 180°, which equation could be used to solve problems involving the relationships between ∠MQR and ∠XQL?
A) (−5b + 115) = (125 − 10b)
B) (−5b + 115) + (125 − 10b) = 180
C) (−5b + 115) − (125 − 10b) = 180
D) (−5b + 115) − 180 = (125 − 10b)
Answers
because XQL = MQR
Given
∠MQL=180°
∠XQR=180°
Hence ∠MQL=∠XQR
(We know that ∠MQL is the sum of ∠MQR and ∠RQL
and ∠XQR is the sum of ∠XQM and ∠MQR)
lets plug in these in our equation
∠MQL=∠XQR
∠MQR + ∠RQL = ∠XQM + ∠MQR
We can cancel out ∠MQR
hence ∠RQL = ∠XQM
hence we can infer that the opposite angles of intersecting lines are equal
similarly
∠MQR = ∠XQL
which is
125-10b = -5b+115
Hence the right option is A)
Related Questions
Find complete factorization of the expression 32xy-56xyz
Answers
32xy-56xyz
We will use the distributive property for this.
Find a common factor. Biggest one is 8.
Since both numbers have xy, put that next to 8 outside the parenthesis and keep the z with the value for 56xyz.
8xy(4-7z) <== factored expression
I hope this helps!
~kaikers
find the domain of the function f(x)=24/x^2-20x+96
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Identify the first step in solving the equation below. 2003-05-04-00-00_files/i0420000.jpg A. Subtract 2w from each side. B. Multiply each side by w. C. Add 2w to each side. D. Divide each side by 2.
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The answer to your problem is A)0.0310 and D)1.01
A significant figure is any number that is not a stand-alone zero which means any zero in the middle of a sequence of numbers or at the end of a sequence of numbers is counted as significant, for example: these zeros are significant (1, 2, 3, and 4 is significant as well) | |0000123004 | | | |these zeros are nonsignificant
A certain mixture of nuts contains cashews, almonds, and macadamia nuts. Each container must include three times as many almonds as cashews and twice as many cashews as macadamia nuts. If there are a total of 24 ounces in each container, how many ounces of cashews must be included?
Answers
C:M = 2:1
A:C:M = 6:2:1
The proportion of cashews is 2/(6+2+1) = 2/9 of the mix. For 24 ounces, that is
.. (2/9)*(24 oz) = 5 1/3 oz . . . . . of cashews
Describe how to find the perimeter of an enlarged figure if you know the scale factor and the dimensions of the original figure.
Answers
Answer:
Perimeter of any figure is given by adding up all the side measurements.
So, when a figure is enlarged by a scale factor then we can multiply all the sides with the scale factor to get the new sides measurements and then we can find the perimeter.
Or simply we can find the perimeter of the original figure and then multiply by the scale factor.
In both the methods, the answer will be the same.
We can take an example:
Lets suppose the original figure to be a rectangle with length 5 cm and width 2 cm. The rectangle is enlarged by a scale factor of 6.
The original perimeter is = [tex]2(5+2)[/tex]
= [tex]2(7)=14[/tex] cm
1st method:
Multiply the length by 6 and width by 6 to get new dimensions.
Length becomes: [tex]5\times6=30[/tex]
Width becomes: [tex]2\times6=12[/tex]
Perimeter becomes: [tex]2(30+12)[/tex]
= [tex]2(42)=84[/tex] cm
2nd method:
Simply multiply 6 with the original perimeter.
[tex]14\times6=84[/tex] cm
We can see that in both methods, the perimeter is same.
Sample Response:
To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.
A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. The plant grows two centimeters each day. The model for plant growth "y" is given by: y = 2x + 5. What is the meaning of the y-intercept in this equation? A) the y-intercept is the starting date Eliminate B) the y-intercept is two times larger than five C) the y-intercept is the starting height of the plant D) the y-intercept is the largest height the plant can grow
Answers
In the equation of a straight line, there is a slope (2) and a y intercept (5). The y intercept is where the line crosses the y axis. It is the starting point for the y values. The science class starts the experiment with the plant being 5 centimeters high and since this is the starting point/height, this is also the y intercept.
A painting cost $225. If the sale price is $191.25, what is the percent discount
Answers
Jalla's hourly wage is $11.791. Round her salary to the nearest cent
Answers
Solve. 3x2 − 6x = 24 A) x = 2, x = 4 B) x = 3, x = 4 C) x = −2, x = 4 D) x = −4, x = 3
Answers
3x^2 − 6x - 24 = 0
3(x^2 - 2x - 8) = 0
3(x - 4)(x + 2) = 0
x - 4 = 0; x = 4
x + 2 =0; x = -2
answer
C) x = −2, x = 4
Answer:
First Answer - C
Second Answer B
Step-by-step explanation:
Find the inverse of the function. y = 2x2 –4
Answers
x=2y²-4
x+4=2y²
(x+4)/2=y²
√((x+4)/2)=y
Answer:
The inverse function is [tex]y=\sqrt{\frac{x+4}{2}}[/tex]
Step-by-step explanation:
The given function is [tex]y=2x^2-4[/tex].
This function is only invertible on the interval, [tex]x\ge 0[/tex].
To find the inverse on this interval, we interchange [tex]x[/tex] and [tex]y[/tex].
[tex]x=2y^2-4[/tex]
We now make [tex]y[/tex] the subject to get,
[tex]x+4=2y^2[/tex]
[tex]\Rightarrow \frac{x+4}{2}=y^2[/tex]
[tex]\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y[/tex]
But the given interval is [tex]x\geq 0[/tex], This implies that, [tex]y\geq 0[/tex].
[tex]y=\sqrt{\frac{x+4}{2}}[/tex]
A building is in the shape of a square pyramid. Each side of the base is 54 meters long and the height is 260 meters.
I know is 1/3 b*h
is that correct... google failed me before
Answers
what is the 4Th rule of probability in statistics?
Answers
Final answer:
The fourth rule of probability in statistics is the sum rule, which states that the probability of the occurrence of one event or the other event, of two mutually exclusive events, is the sum of their individual probabilities.
Explanation:
The fourth rule of probability in statistics is the sum rule. The sum rule is used when considering two mutually exclusive outcomes that can come about by more than one pathway. It states that the probability of the occurrence of one event or the other event, of two mutually exclusive events, is the sum of their individual probabilities.
For example, if we flip a penny (P) and a quarter (Q), the probability of getting one coin coming up heads and one coin coming up tails can be calculated as [(PH) (QT)] + [(QH) × (PT)]
=( [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] ) + ( [tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{2}[/tex] )
[tex]= \frac{1}{2}[/tex]
how many degrees are In a 1/ 4 turn
Answers
A bag contains 15 green, 18 yellow, and 16 orange balls. One ball is randomly selected. To the nearest percent, what is the probability of the event? Drag and drop the correct value into the box. P(yellow)=
Answers
Since the bag contains 15 green, 18 yellow, and 16 orange balls, the total number of balls in the bag are 15+18+16=49.
Therefore, the probability of the event that the drawn ball is yellow is given by:
P(yellow)=[tex] \frac{Number of Yellow Balls}{Total Number of Balls} [/tex]
[tex] \therefore P(Yellow)=\frac{18}{49}\times 100\approx36.73\approx37 [/tex]%
Thus, the the probability of the event, to the nearest percent, that the drawn ball is yellow is 37%.
what is the 5% of 300
Answers
300*5/100 =15
That's all
the best way to do it is see the % as a decimal in my opinion, then plug it into a calculator. just move the decimal over to the left 2 times, then multiply the number you're taking the percent out of. So, in this case it would be:
300x.05
which is 15
the expression below is scientific notation for what number??
Answers
The answer is option A ".00000236".
Reason:
First write the equation:
2.36*10^-6
The exponent is negative so move to the left:
=.00000236
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
A pair of vertical angles has measures
(2z+43)°
and
(−10z+25)°
.
What is the value of z? Vertical angles = each other
(2z+43)°
=
(−10z+25)°
−
3
2
−
11
4
−31
Answers
-2z -2z
43=-12z+25
-25 -25
18=-12z
z=-1.5
So Z=3/2
Answer:
The answer is Z equals negative 3/2
Step-by-step explanation:
Prove or disprove: for all integers a, b, c, if a|bc, then a|b or a|c.
Answers
8,321/100 is equal to which number?
Answers
The answer is 83.21
Hope this helps
a student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 Meters to be 4968 cubic meters explain and correct the error
Answers
The student found the volume by multiplying the base area with the height. He forgot to divide it by 3.
Formula to find the volume of the pyramid = 1/3 base area x height
volume = 1/3 x 92 x 54 = 1656 square meters
Answer:
1656
Step-by-step explanation:
1/3*92*54
an aviary places an order for 75 pounds of bird seeds. the order is filled by mixing different kinds of seeds from Bin A Bin B and Bin C Three times as much seed was added from Bin C as Bin A.Ifx respresents the amount of seed from Bin Cwhich expression represents the amount of bird seed mixed from Bin B
Answers
A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 slices of pizza?
Answers
Find Radius
--------------------------------------
Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches
--------------------------------------
Area of the Pizza
--------------------------------------
Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)
--------------------------------------
find area of 1 slice of pizza
--------------------------------------
10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in²
--------------------------------------
Find area of 3 slices of pizza
--------------------------------------
1 slice = 25.44 in²
3 slices = 25.44 x 3
3 slices = 766.32 in²
--------------------------------------
Answer: 766.32 in²
--------------------------------------
The circumference of a circle is 18.84 kilometers. What is the circle's radius? C=18.84 km Use 3.14 for . kilometers
Answers
The Circle's radius is roughly 3 kilometers.
To find the compass of a circle when given the circumference, we can use the formula
C = 2πr
where C is the circumference, and r is the compass.
Given that the circumference is18.84 kilometers, we can substitute these values into the formula and break for the compass
18.84 = 2 x3.14 x r
Dividing both sides of the equation by 2 x 3.14
18.84 /( 2 x 3.14) = r
Simplifying the right side
r ≈18.84/6.28
r ≈ 3 kilometers.
Thus, the circle's radius is roughly 3 kilometers.
Learn more about Circumference here:
https://brainly.com/question/17130827
#SPJ6
how to solve 5/8h = 1,1/2=5
Answers
Answer:
C
Step-by-step explanation:
Is this your question? I know that sometimes I accidentally put an equal sign instead of a plus.
Rewrite the equation of the parabola in vertex form. y= x2 + 8x - 21
Answers
Answer:
[tex]y=(x+4)^{2}-37[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
if a> 0 then the parabola open upward (vertex is a minimum)
if a< 0 then the parabola open downward (vertex is a maximum)
In this problem we have
[tex]y=x^{2}+8x-21[/tex]
Convert to vertex form
Complete the square
[tex]y+21=x^{2}+8x[/tex]
[tex]y+21+16=(x^{2}+8x+16)[/tex]
[tex]y+37=(x^{2}+8x+16)[/tex]
[tex]y+37=(x+4)^{2}[/tex]
[tex]y=(x+4)^{2}-37[/tex] --------> equation in vertex form
The vertex is the point [tex](-4,-37)[/tex]
the parabola open upward (vertex is a minimum)
Answer:
the answer is y=(x+4)^2-37
Step-by-step explanation:
Which equation could be used to find m∠J in △JKL? x = cos–1 x = cos–1 x = sin–1 x = sin–1
Answers
Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. 2) P1 = (0, 0); P2 = (3, -4)
Answers
The vector [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \)[/tex].
Its magnitude is [tex]\( \sqrt{45} \)[/tex] in reduced radical form.
To find vector [tex]\( \mathbf{v} \)[/tex] from point [tex]\( P_1 \)[/tex] to point [tex]\( P_2 \)[/tex], we subtract the coordinates of [tex]\( P_1 \)[/tex] from the coordinates of [tex]\( P_2 \)[/tex]:
[tex]\[\mathbf{v} = \begin{pmatrix} x_2 - x_1 \\ y_2 - y_1 \end{pmatrix}\][/tex]
Given [tex]\( P_1 = (-2, 5) \) and \( P_2 = (4, 2) \), we can calculate \( \mathbf{v} \):[/tex]
[tex]\[\mathbf{v} = \begin{pmatrix} 4 - (-2) \\ 2 - 5 \end{pmatrix} = \begin{pmatrix} 6 \\ -3 \end{pmatrix}\][/tex]
So, [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \)[/tex].
To find the magnitude of [tex]\( \mathbf{v} \)[/tex], we use the formula:
[tex]\[|\mathbf{v}| = \sqrt{v_x^2 + v_y^2}\][/tex]
Where [tex]\( v_x \)[/tex] and [tex]\( v_y \)[/tex] are the components of [tex]\( \mathbf{v} \)[/tex]
For [tex]\( \mathbf{v} = 6\mathbf{i} - 3\mathbf{j} \), \( v_x = 6 \) and \( v_y = -3 \)[/tex]:
[tex]\[|\mathbf{v}| = \sqrt{(6)^2 + (-3)^2} = \sqrt{36 + 9} = \sqrt{45}\[/tex]
Thus, the magnitude of vector [tex]\( \mathbf{v} \) is \( \sqrt{45} \)[/tex] in reduced radical form.
Correct question is:
Let v be the vector from initial point P1 to terminal point P2.
Write v in terms of i and j, and find the magnitude of vector v.
Leave the magnitude in reduced radical form.
P1 = (-2,5) , P2 = (4,2)
can someone please help me
Answers
Most folks like to eliminate fractions first. To do that, you can multiply by 12.
9(x -3) < 4(x -4)
Now, eliminate parentheses.
9x -27 < 4x -16
Subtract 4x to put the variable on one side only. Add 27 to put the constant on the other side only.
5x < 11
Divide by the coefficient of x to get x by itself.
x < 11/5
39. You can actually work these without eliminating fractions. Just do the arithmetic in the usual way.
Eliminate parentheses.
(2/5)(3 -2n) ≥ (3/8)(2 -3n)
6/5 -(4/5)n ≥ 3/4 -(9/8)n
Add (9/8)n -6/5
n(9/8 -4/5) ≥ 3/4 -6/5
(13/40)n ≥ -9/20
Multiply by the inverse of the coefficient of n
n ≥ (-9/20)*(40/13)
n ≥ -18/13
solve for x 3x−91>−87 OR 21x−17>25
Answers
Answer:
x > 4/3
Step-by-step explanation:
The first inequality can be solved this way ...
3x -91 > -87
3x > 4 . . . . . . . add 91
x > 4/3 . . . . . . divide by 3
__
The second inequality has solution ...
21x -17 > 25
21x > 42 . . . . . . add 17
x > 2 . . . . . . . . . divide by 21
__
The solution set is the union of these overlapping solutions, so will be equal to the first solution:
x > 4/3
Answer:
The solution is [tex]x>\frac{4}{3}[/tex]
Step-by-step explanation:
A compound inequality is an inequality that combines two simple inequalities.
We want to solve for x the following compound inequality
[tex]3x-91>-87 \:{OR} \:{21x-17>25}[/tex]
Solving the first inequality for x, we get:
[tex]3x-91+91>-87+91\\\\3x>4\\\\x>\frac{4}{3}[/tex]
Solving the second inequality for x, we get:
[tex]21x-17+17>25+17\\\\21x>42\\\\x>2[/tex]
So our compound inequality can be expressed as the simple inequality:
[tex]x>\frac{4}{3}[/tex]
The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities.
Graphically, we get
for a standard normal distribution whats the probability of getting a positive number
Answers
In a standard normal distribution, the probability of getting a positive number is 0.5.
Explanation:Probability of Getting a Positive Number in a Standard Normal Distribution
In a standard normal distribution, the probability of getting a positive number is 0.5. This is because the standard normal distribution is symmetric around 0, and half of the distribution lies to the right of 0, which corresponds to positive numbers.