Answers
6) ∠FOC is vertical to ∠EOD
7) m∠POF is complementary to M∠FOB.
8) m∠AOC = 30°
How to determine congruent angles?
6) Vertical angles are angles that are opposite of each other when two lines cross. Thus;
∠FOC is vertical to ∠EOD
7) Given that m∠POF + M∠FOB = 90
Two angles are called complementary when their measures add to 90 degrees. Thus;
m∠POF is complementary to M∠FOB.
8) m∠BOC = 150. Thus;
m∠AOC = 180 - 150
m∠AOC = 30° because they are supplementary angles.
9) m∠EOA = 37. Thus;
m∠FOA = 180 - 37
m∠FOA = 143° because they are supplementary angles.
10) ∠EGH is adjacent to ∠OGH
This is from definition of adjacent angles
11) ∠EGH ≅ ∠DOB
m∠HGO = 128°, m∠DOB = 180° - 128° = 52° because they are supplementary angles.
12) m∠EOA = 67°, m∠DOB = 29°. Thus;
m∠EOD = 180 - (67 + 29)
m∠EOD = 84° because sum of angles on a line is 180°
13) m∠AOD + m∠DOB = 180 means that ∠AOD is supplementary to ∠DOB.
14) ∠COF ≅ ∠DOF and so we can say that;
FO is perpendicular to CD.
15) m∠COP = 72° and m∠POF = 31°. Thus;
m∠EOD = 72 + 31
m∠EOD = 103°
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Related Questions
fully simplify 7c - 4h - 2c - 5h
Answers
Answer:
5c-9h
Step-by-step explanation:
1) 7c-4h-2c-5h
2) 5c-4h-5h
3) 5c-9h
help please!!! i dont get it
Answers
The amount of money in the account if compounded quarterly at 6% after 9 years is $22,217
Compound interestPrincipal, P = $13,000Time, t = 9 yearsInterest rate, r = 6% = 0.06Number of periods, n = 4A = P(1 + r/n)^nt
= 13,000(1 + 0.06/4)^4×9
= 13,000(1 + 0.015)^36
= 13,000(1.015)^36
= 13000(1.709)
= $22,217
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solve for the missing variable 9 4 and x pls help need in 2 hours
Answers
Answer:
81/4
Step-by-step explanation:
By the Pythagorean theorem, the length of the altitude drawn from the hypotenuse is
[tex] \sqrt{65} [/tex]
This means that by the geometric mean theorem, that out of the two segments the hypotenuse is split into, the one with unknown length has length 65/4.
Thus, x = 65/4 + 4 = 81/4.
Circle a is centered at point p, and point q lies on the circle. what other points also lie on circle a?
Answers
All the points which are at the distance of PQ from the center of the circle will be located on the circle.
What is a circle?A circle is a closed shape created by following a moving point on a plane while maintaining a constant distance from another point.
According to the given question, the circle named A has it's center at the point P and has a point Q on the circumference of the circle, so any point at the distance of PQ from the center of the circle will lie on the circumference of the circle.
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Answer:
Points S, T, and W
Hope this helps!
Step-by-step explanation:
A researcher who wishes to study the effects of a prenatal breastfeeding education program on the length of time African-American inner-city women breastfeed infants learns that 70% of women in the target population are unmarried. To achieve stratified random sampling in a sample of 50 subjects, the researcher will:
Answers
Select a random sample of 35 unmarried and 15 married subjects
A researcher who wishes to study the effects of a prenatal breastfeeding education program on the length of time African-American inner-city women breastfeed infants learns that 70% of women in the target population are unmarried.
To achieve stratified random sampling in a sample of 50 subjects, the researcher will:
Select a random sample of 35 unmarried and 15 married subjects.
hence, Select a random sample of 35 unmarried and 15 married subjects.
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If I went to bed at around 1:20 AM, and woke up at 8 AM, around how many hours of sleep did I get?
Answers
Answer:
you would get about 6:20 of sleep
you would have gotten at least 6 hours of sleep and 20 mins
Step-by-step explanation:
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?
SSS
AAS
SAS
HL
Answers
Answer: Option 2 or B. AAS
Step-by-step explanation: B. AAS
Trust me!
If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.
If you found any of my answers helpful please like and subscribe I mean "heart", friend me and/or choose my answer as Brainliest. I would appreciate it! Good luck everyone! :)
When two angles and the non-included side of one triangle are congruent to other triangle the by AAS congruency they are congruent. Therefore, option B is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
AAS, two angles and one side of a triangle are equal to two angles and one side of another triangle then they are congruent.
Therefore, option B is the correct answer.
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an=−2+32(n−1)
What is the 21st term of the sequence?
Answers
Answer:
a₂₁ = 638
Step-by-step explanation:
substitute n = 21 into the explicit formula
a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638
Can someone write me a paragraph proof for this problem
Answers
Answer:
Step-by-step explanation:
ur mother
i dont understand how to do this problem. Someone please assist me
Answers
Answer:
The unknown length = 12 units.
Step-by-step explanation:
The small and large triangles are similar because of the parallel lines.
So
6 / (6+4) = x / 20
10x = 120
x = 12.
show that,t for any triangle abc, even if b or c is an obtuse angle, a = b cos c + c cos b. use the law of sines to deduce the "addition formula" sin (b + c) = sin b cos c + sin c cos b.
Answers
For the triangle ABC, if B or C is an obtuse angle, then a = b cos C + c cos B according to the law of sines and the addition formula.
What is the law of sines states?For a triangle ABC with angles ∠A, ∠B, and ∠C and with sides a, b, and c
Thus, we can write,
sinA/a = sinB/b = sinC/c
or
a/sinA = b/sinB = c/sinC
Calculation:It is given that in a ΔABC,
The ∠B or ∠C is an obtuse angle.
So, ∠A = 180° - (B + C)
⇒ sin A = sin (180° - (B + C))
⇒ sin A = sin (B + C) (since we know that sin(180° - θ) = sinθ)
From the addition formula,
sin (B + C) = sin B cos C + sin C cos B
⇒ sin A = sin (B + C)
⇒ sin A = sin B cos C + sin C cos B
From the law of sines,
a/sinA = b/sinB = c/sinC = K
⇒ aK =sin A, bK = sin B, cK = sin C
On substituting,
⇒ sin A = sin B cos C + sin C cos B
⇒ aK = bK cos C + cK cos B
⇒ K(a) = K(b cos C + c cos B)
∴ a = b cos C + c cos B
Hence it is proved.
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Select the correct answer from each drop-down menu.
Given: UX=WZ VW=XY
Prove: UV=YZ
The reason in line __ does not justify the statement because ___. Instead, the reason should be ___.
OPTIONS:
1:
A.)4
B.)5
C.)6
D.)3
2:
A.) Values were not added to each side
B.) Values were not subtracted from each side
C.) More than two segments were added.
3:
A.) The substitution property of equality
B.) Segment addition
C.) Given
Answers
The answers are D.)3, B.) Values were not subtracted from each side, and A.) The substitution property of equality
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
We have;
UX=WZ
VW=XY
In line 3 the statement does not justify.
Because values were not subtracted from each side.
The reason should be substitution property of equality.
Thus, the answers are D.)3, B.) Values were not subtracted from each side, and A.) The substitution property of equality
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Answer:
I just got it right on the test
Step-by-step explanation:
help me please n^2, when n = 3
Answers
Answer: 9
Step-by-step explanation:
Given:
n², n = 3
Plug-in:
(3)²
Square 3:
3 * 3 = 9, so (3)² = 9
Simplify:
9
When n is 3 and you have A power of two ,Square it.
3x3= 9
Find the equation of the line perpendicular to y = - 1/2 x − 5 that passes through the point ( 2 , 7 ) . Write this line in slope-intercept form.
Answers
The equation of the perpendicular line as required is; y = 2x -3.
What is the equation of the perpendicular line?Since the line in discuss is perpendicular to the given line whose slope is; -1/2. It therefore follows that the slope of the line to be determined is;
m = -1/(-1/2) = 2.
The equation of the required line can therefore be written as;
2 = (y-7)/(x-2)
2x -4 = y -7
Hence, y = 2x -3 is the equation of the line.
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7x-9y-6x+2y simplify
Answers
Answer:
x-7y
Step-by-step explanation:
7x-9y-6x+2y
Combine like terms
7x -6x -9y +2y
x -7y
x-7y
Answer:
x -7y
Step-by-step explanation:
7x - 9y - 6x + 2y
Rearrange so like terms are together (these are terms that are similar such as 5b and 7b; 7 and 1)
7x - 6x - 9y + 2y
Group into brackets one-by-one and solve
(7x-6x) -9y + 2y
x -9y + 2y
x (-9y + 2y)
x -7y
Note that 1x, 1b, 1z etc are simply written as their variable eg x, b and z
Which graph shows a system of equations with a solution at (2, -1)?
Answers
Graph fourth shows a system of equations with a solution at (2, -1) option fourth is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is
Which graph shows a system of equations with a solution at (2,-1)?
The graph is in the picture, please refer to the attached picture.
As we can see in the graph there are two graphs of a function shown.
The first one is a parabola and the second one is a linear graph.
From the graph, the intersection point of the two groups is at (2, -1)
The intersection point is shown in graph fourth.
Thus, graph fourth shows a system of equations with a solution at (2, -1) option fourth is correct.
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Answer:
Graph 4
Step-by-step explanation:
Three equivalent ratios are shown on the graph
Answers
To plot more the points, we move up one and right two.
How to plot more the points?The ratios are given as:
(1, 0.5), (2, 1), and (5, 2.5)
Calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{1 - 0.5}{2 - 1}[/tex]
Evaluate
[tex]m = \frac{0.5}{1}[/tex]
This gives
[tex]m = \frac{1}{2}[/tex]
The above means
Vertical : Horizontal = 1 : 2
This means a vertical movement of 1, followed by an horizontal movement of 1
Hence, to plot more the points, we move up one and right two.
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Complete question
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points?
Part A
Simplify (6-2) (3-3)(3-6).
Answers
Answer:
0
Step-by-step explanation:
First, lets solve what's in the parentheses.
(6-2) = 4
(3-3) = 0
(3-6) = -3
Now, we put that into the equation.
4*0*-3
We get 0
The amount of water in a leaky bucket is given by the linear function , where y is in ounces and x is in minutes. Find and interpret the slope and y-intercept of the linear equation.
Answers
The y-intercept = 127 and the slope = -10
How to determine the y-intercept and the slope?The function is given as:
y = 127 - 10x
A linear function is represented as:
y = c + mx
Where
c = the y-intercept
m = slope
This means that:
y-intercept = 127
slope = -10
The y-intercept implies that, the initial amount of water is 127 ounces and the slope implies that the water leaks by 10 ounces per minute
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Complete question
The amount of water in a leaky bucket is given by the linear function y = 127 - 10x, where y is in ounces and x is in minutes. Find and interpret the slope and y-intercept of the linear equation.
select all the con
Choose the graphs that indicate equations with no solution.
+
3x + 2 = −6(-ª)
y
A
4 -2
4+
2
-2-
2 4
4
+x+
8(-a)
-4 -2
HE
H
у
14
2.
2.
-2-
-4-
-4 -2
-2x + 4
4
4 =
y
4
2
2
+x
A
2
4
+2
3+1=
-4 -2
4
2.
12
x +
4
++++
-4
2
52 + 1 = 7(-z)
y
-2
5(-) + 2
4
TE
t
4
2-
14
+
+X
2
4
Hx
Answers
Answer:
Top leftBottom rightStep-by-step explanation:
For there to be no solution, the graphs must never intersect.
An equation is formed of two equal expressions. The graphs that indicate that the equation has no solution are the first graph from the top row and the last graph from the second row.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of a pair of equations is the point at which the graph of the two functions intersects each other. The number of times the two graphs intersect is the number of solutions to the pair of equations.
Since there are only two graphs where the graphs do not intersect.
Thus, the graphs that indicate that the equation has no solution are the first graph from the top row and the last graph from the second row.
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Which function has zeros at x = -2 and x = 5?
O f(x) = x2 + 2x - 10
• f(x) = x2 - 2x - 10
O f(x) = X2 + 3x - 10
® f(x) = x2 - 3x - 10
Answers
Answer:
f(x)=x²-3x-10
Step-by-step explanation:
\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}
f(x)=x
2
−3x−10
tofindxinterceptorzerosubstitutef(x)=0
0=x
2
−3x−10
x
2
−3x−10=0
x
2
+2x−5x−10=0
x(x+2)−5x−10=0
x(x+2)−5(x+2)=0
(x+2).(x−5)=0
x+2=0
x−5=0
x=−2
x=5
therefore the zeros of the equation are x₁=-2,x₂=5
A group of students tossed coins and recorded 167 tails and 179 heads.
What is the experimental probability of heads?
Answers
Answer:
29893
Step-by-step explanation:
167 x 179
Find the area of the triangle
Answers
Answer:
12 yd^2 (c)
Step-by-step explanation:
A=1/2bh
= 1/2 x 8 x 3
=12 yd^2
Hope it helps!!!
Answer: 12 yd^2
Step-by-step explanation:
Area=[tex](1/2) *base*height\\[/tex]
here
base= 8yd
height =3 yd
putting values
area=(1/2)*(8)*(3)
area=12 yd^2
y=3x + 4
x=3y + 4
x-4= 3y
how do divide x-4 by 3?
Answers
Answer:
x = 3y + 4
Step-by-step explanation:
add 4 to both sides
simplify
pls and thank you if you help out
Answers
Answer: x = 80°
Step-by-step explanation:
Hi,
Since the angle is bisected, that means it is split in half and that both sides equal each other.
Therefore,
50 = 1/2x + 10
subtract 10 from both sides
40 = 1/2x
divide 40 by 1/2
x = 80°
Hope this helped :)
The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean mu = 18 sec and standard deviation sigma = 1.2 sec. what percentage of the runners have times less than 14.4 sec?
Answers
The percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.
What is standard deviation?The standard deviation of a data set is defined as how the data is dispersed in relation to the mean.
From the question,
The raw time given (X) = 14.4 sec
The mean value(m) = 18sec
The standard deviation(d) = 1.2 sec
Using the formula,
z = X - m/ d
z= 14.4- 18/1.2
z = -3.6/1.2
z= -3
Using a Z table to find the percentage equivalent of P(x<14.4) is 0.0013499 which is approximately = 0.15%.
Therefore, the percentage of runners that have times less than 14.4 seconds that is P(x<14.4) is 0.0013499 which is approximately = 0.15%.
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PLEASE HELPPPP
An expression is shown below:
2x3 + 10x2 − 4x2y − 20xy
Part A: Re-write the expression by factoring out the GCF
Part B: Factor the entire expression completely
Show your work
Answers
The complete factor of the given expression is 2x(x-2y)(x+5)
Factoring of expressionGiven the following expression shown below
2x^3 + 10x^2 − 4x^2y − 20xy
Factor out the GCF
2x^2(x+5)-4xy(x+5)
Group
(2x^2-4xy)(x +5)
2x(x-2y)(x+5)
Hence the complete factor of the given expression is 2x(x-2y)(x+5)
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6.Find by suitable rearrangement
a)4x2984x250
b) 495+114+205
factor of 13965
Answers
The solutions by suitable arrangement are:
2984000814How to find the suitable arrangementa)4x2984x250
By suitable arrangement, we would arrange this as
(4 x 250) x 2984
= (1000 * 2984)
= 2,984,000
b. b) 495+114+205
By suitable arrangement we would have:
(495 + 205) + 114
= 814
c. The factors of 13965 are all of the numbers that can divide this number.
They are: 1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285, 399, 665, 735, 931, 1995, 2793, 4655, and 13965
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Help me pleaseee!!! :(
Answers
Slope = rise/run
4/-11
Find the missing the side of the triangle. 19New A. 73‾√ in B. 72‾√ in C. 75‾√ in D. 77‾√ in
Answers
By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
How to find the missing side?By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
Hypotenuse = 14 inches.Opposite side = x inches.Adjacent side = 7 inches.Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
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Answer:
A.) 7√3 in
Step-by-step explanation:
I got it correct on founders edtell