Answers
Answer:
Step-by-step explanation:
17) In parallelogram, adjacent angles are supplementary (add up to 180)
⇒∠A + ∠D = 180
5x + 30 + x = 180
5x +x + 30 = 180 {Combine like terms}
6x + 30 = 180 {Now, subtract 30 from both sides}
6x + 30 - 30 = 180 - 30
6x = 150
Now divide both sides by 6
x = 150/6
x = 25
∠A = 5x + 30
= 5*25 + 30
= 125 + 30
= 155
In parallelogram, opposite angles are congruent.
∠C = ∠A
∠C = 155°
18)In parallelogram, adjacent angles are supplementary (add up to 180)
⇒∠A + ∠D = 180
3x + 4 + x = 180
3x +x + 4 = 180 {Combine like terms}
4x + 4 = 180 {Now, subtract 4 from both sides}
4x + 4 - 4 = 180 - 4
4x = 176
Now divide both sides by 4
x = 176/4
x =44
19) In parallelogram, adjacent angles are supplementary (add up to 180)
⇒∠GAC + ∠ACF = 180
125 + ∠ACF = 180
Now, subtract 125 from both sides
∠ACF = 180 - 125
∠ACF = 55
21) In parallelogram, adjacent angles are supplementary (add up to 180)
∠CFG + ∠ACF = 180
2w +30 + w + 15 = 180
2w +w + 30+ 15 = 180
3w + 45 = 180
3w = 180 - 45
3w = 135
w = 135/3
w = 45
∠ACF = w + 15
= 45 + 15
∠ACF = 60
21) In parallelogram, opposite sides are congruent.
GF = AC
4x - 14 = 2x + 2
4x = 2x + 2 + 14
4x = 2x + 16
4x - 2x = 16
2x = 16
x = 16/2
x = 8
22) In parallelogram, the diagonals bisect each other.
XC = GX
3y - 3 =2y + 2
3y = 2y + 2 + 3
3y = 2y + 5
3y - 2y= 5
y = 5
23) The length of the middle segment of trapezium is half the sum of the two parallel sides.
[tex]\dfrac{b_{1}+b_{2}}{2}=110\\\\\\b_{1}+b_{2}=110*2\\[/tex]
Related Questions
What is the value of the expression (6 + 3)2
15
18
45
81
Answers
Answer:
Probably 81.
Maybe 18.
See explanation below.
Step-by-step explanation:
(6 + 3)² = 9² = 9 × 9 = 81
(6 + 3) × 2 = 9 × 2 = 18
I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.
Carrie uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Carrie needs to keep track of how many selfies she takes.
There is a proportional relationship between the number of selfies Carrie takes, x, and the amount of storage (in megabytes) she uses taking selfies, y.
x (selfies) y (megabytes)
10 20
12 24
21 42
22 44
Write an equation for the relationship between x and y. Simplify any fractions.
y=
Answers
Explanation:
A direct proportion is of the form y = kx
To find k, pick any row to divide the y over x value
k = y/x = 20/10 = 2k = y/x = 24/12 = 2k = y/x = 42/21 = 2k = y/x = 44/22 = 2No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.
Therefore, we go from y = kx to y = 2x
Solve the system using elimination.
2x – 2y = –8
x + 2y = –1
(–3, 1)
(–14, 1)
(0, 4)
(1, 5)
Answers
Answer:
(- 3, 1 )
Step-by-step explanation:
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
adding the 2 equations term by term will eliminate y
3x + 0 = - 9
3x = - 9 ( divide both sides by 3 )
x = - 3
substitute x = - 3 into either of the 2 equations and solve for y
substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
solution is (- 3, 1 )
Answer:
(–3, 1)
Step-by-step explanation:
Step 1: Solve for x
2x – 2y = –8 -----------(1)
x + 2y = –1. -------------(2)
Add equation 1 to 2⇒2x + x| -2y + 2y |= -8 -1
⇒3x = -9
Divide both side by the coefficient of x⇒3x/3 = -9/3
⇒x = -3
Step 2; Solve for y
Substitute into equation 2x + 2y = –1
(-3) + 2y = -1
Add 3 from both sides-3 + 2y + 3 = -1 + 3
2y = 2
divide both side by two2y/2 = 2/2
y = 1
So, ( x,y) ⇒(-3,1)
Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.
x + y = 9
15x + 9y = 117
How many hours did Aidan work at each job?
Answers
The hours worked at the babysitting job is 6 hours.
The hours worked at the barber shop is 3 hours.
What are the hours worked at the babysitting job?
Given the two linear equations:
x + y = 9 equation 1
15x + 9y = 117 equation 2
Multiply equation 1 by 9
9x + 9y = 81 equation 3
Subtract equation 3 from 1
36 = 6x
x = 6
What are the hours worked at the barber shop?
Substitute for x in equation 1
6 + y = 9
y = 9 - 6
y = 3 hours
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A={ 0,1,3,5,6}; B={1,2,3,7} draw the venn diagram of AUB Writ
Answers
Answer:
Here,
n(A)={0,1,3,5,6}
n(B)={1,2,3,7}
n(AUB)=?
we know that,
AUB={0,1,2,3,5,6,7}
Step-by-step explanation:
is it okay ?
hopefully it works <3 ❣️
help and walk me thru pleasee
Answers
Answer:
Your answer is 63
Step-by-step explanation:
First lets find the area of the rectangle:
To find the area of a rectangle your multiply the length by the width. In this case it is 5 and 9 so..
5 x 9 = 45
Now to find the area of the triangle:
Formula for triangle: 1/2(bh)
9 is your height to find the base subtract 5 from 9:
9 - 5 = 4
Now divide that by 2:
4 / 2 = 2
2 is your base
Now we know the base and height solve:
1/2(2 x 9)
1/2(18)
18 / 2 = 9
multiply 9 by 2
9 x 2 = 18
Now add your areas to find the final area:
45 + 18 = 63
i really need actual help on this asap
Answers
On the bisector place a point F
Join F to both D and E to form the triangle
Riley tried the following homework question:
On July 1st, the billing date, Jenson's American Express credit card account had a balance of $375.80. The transactions during the
month of July were:
July 5 Payment made $150.00
July 10 Dinning
$74.35
July 18 Car repair
$123.50
July 28 Groceries
$142.50
The card has a low-interest rate of 1.3% per month. What is the balance due on August 1st?
The instruction hinted that "to find the balance due, you need to calculate the Average Daily Balance (ADB)."
So Riley made a running balance table and got ADB = 372.08, finance charge = 4.84, and Riley wasn't sure what to do next to answer
the final question "balance due on August 1st"? Please make a running balance table to show the ADB Riley got, and further explain
how to find the final balance on August 1st. What is the balance due on August 1st? Be specific with your answer.
Answers
Answer:
her balance aka ADB would be 372.08
Can anyone help me on this question?
Answers
A circular sinkhole has opened near an intersection. The four corners of the intersection are occupied by a grocery store, a dollar store, a gas station, and a restaurant, and each corner contains part of the sink hole. The grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The gas station has the same angle on the intersection at the dollar store and 88° more edge To stabilize. What is the measure of the arc of the sinkhole that falls within the restaurants property?
Answers
The measure of the arc of the sinkhole that falls within the restaurants property is -21°
Measure of angles subtendedLet x be the angle at the dollar store at the intersection
Now the angle of the grocery store at the intersection, y is 2/3 that of the dollar store. So, y = 2x/3
Since both x and y are supplementary,
x + y = 180°
x + 2x/3 = 180°
5x/3 = 180°
x = 180° × 3/5
x = 36° × 3
x = 108°
Angle subtended by gas station at sinkholeThe gas station has the same angle at the intersection but has 88° more of the sinkhole edge to stabilize. So, the angle the gas station store subtends at the sinkhole is z = x + 88°
Angle subtended by grocery store at sinkholeAlso, since the grocery stores property has 2/3 of the angle in the intersection at the dollar store has, but has 5° more of the sinkhole edge to stabilize. The angle the grocery store subtends at the sinkhole is k = y + 5° = 2x/3 + 5°
Measure of arc subtented by restuarantLet k' be the angle subtended by the restuarant at the sinkhole.
Since the sinkhole is a circle, we have that
x + z + k + k' = 360°
x + x + 88° + 2x/3 + 5° + k' = 360°
8x/3 + 93° + k' = 360°
8x/3 + k' = 360° - 93°
8x/3 + k' = 267°
So, making k' subject of the formula, we have
k' = 267° - 8x/3
Substituting the values of the variables into the equation, we have
k' = 267° - 8 × 108°/3
k' = 267° - 288°
k' = -21°
So, the measure of the arc of the sinkhole that falls within the restaurants property is -21°
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Simplify.
3t-t•t•t+3(-2t)+t
A. -1- 24
B. 1-24
C. -51
D. -70
Answers
Answer:
3t - t.t.t +3(-2t) + t
3t - t³ - 6t + t
3t - 6t + t - t³
-2t - t³
Option A is correct
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
don't spam .-.
thankyou ~
Answers
Δ = (-5)² - 4*1*6 = 25 - 24 = 1 = 1²
x' = (5 + 1) / (2*1) = 6/2 = 3
x" = (5-1) / (2*1) = 4/2 = 2
2 solutions : 2 and 3
x² - 5x + 6 = (x - 2) (x - 3)
Find the equation of the line that goes to the point (8,-8) that is perpendicular to the line with the equation of y=2/7 x - 26
Answers
Step-by-step explanation:
line equation
y = ax + b
a is the slope, b is the y-intercept.
a slope perpendicular to another slope flips x and y upside down and flips the sign.
so, the slope perpendicular to 2/7 is -7/2.
so, our desires line function looks like
y = -7/2 × x + b
to get b we use the given point (and it's x and y coordinates = values).
-8 = -7/2 × 8 + b = -7×4 + b = -28 + b
b = 20
so, the full line equation is
y = -7/2 × x + 20
Four-sevenths of the people in a room are seated in seven-eighths of the chairs. The rest of the people are standing. If there are 8 empty chairs, how many people are in the room?
Answers
Answer:
147
Step-by-step explanation:
4/7 people in chairs
7/8 of chairs, rest are standing
8 empty chairs
empty chairs = 1/8
full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
There are 147 people in the room.
The given is,
Four-sevenths of the people in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
there are 8 empty chairs, how many people are in the room in a room are seated in seven-eighths of the chairs.
The rest of the people are standing.
We have to determine there are 8 empty chairs, how many people are in the room.
Four-sevenths of the people.
What is the standard form of the Four-sevenths?4/7 people in chairs.
7/8 of the chairs, rest are standing
The 8 empty chairs,
The empty chairs = 1/8
The full chairs = 8 x 8
7/8 = 64.
4/7 = 64
1/7 = 64 / 4
1/7 = 21
7/7 = 21 x 7
7/7 = 147
There are 147 people in the room.
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What is the slope of the line that passes through the points (-10, 9) and (−10,18)?
Answers
Answer:
9
Step-by-step explanation:
the equation for the line should be:
y=9x-10
The slope of the line that passes through the point (−10,9) and (10,18) is undefined.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We need to find the slope of the line that passes through the point (−10,9) and (10,18)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Slope: (18 - 9) / ( -10 + 10)
m = 9/0
So, the slope is undefined.
Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.
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A linear function has a y-intercept of 10 and a slope of . What is the equation of the line?
Answers
You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.
Solve for x. Round all answers to the nearest tenth.
11
11.7
10.2
11.9
Answers
11.9 - last one
Step-by-step explanation:
Adjacent + hypotenuse = Cos / Cah
Cos32 = x/14
x14
11.87... = x
So, 11.9 to nearest tenth
Hope this helps!
A ladder reaches a window 30ft above the ground and the foot of the ladder is 16ft from the wall.How long is the ladder?
Answers
Determine the values of k for which the function f(x) = 4x^2-3x + 2kx + 1 has two zeros. Check these values in the original equation.
Answers
k must be greater than or equal to 22.75 to have two different zeros.
How to determine the value of missing coefficient in second order polynomials
Second order polynomials are algebraic expressions that observe the following form:
[tex]p(x) = a\cdot x^2 + b\cdot x + c[/tex] (1)
Where:
a, b, c - Coefficientsx - Independent variableFor polynomials of the form p(x) = 0, we can infer the nature of their roots by applying the following discriminant:
d = b² - 4 · a · c (2)
According to (2), there are three cases:
If d < 0, then there are two conjugated complex roots.If d = 0, then the two roots are the same real number.If d > 0, then the two roots are two distinct real numbers.Now we have the following discriminant case:
-(3 + 2 · k)² - 4 · (1) · (4) ≠ 0
-(9 + 6 · k + 4 · k²) - 16 ≠ 0
-9 - 6 · k - 4 · k² - 16 ≠ 0
4 · k²+ 6 · k +25 ≠ 0
This characteristic polynomial has two conjugated complex roots, then we conclude that all values of k must positive or negative, but never zero. By graphng tools we find that k must be greater than or equal to 22.75 to have two different zeros.
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There are 12 cats and 8 dogs
Answers
Answer:
isn't the answer 12/20
add the number of pets to make 20
then there are 12 cats
as a fraction
12/20
Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x represents the number of hours walked. How many hours must Wesley walk to travel 16.5 miles?
Answers
16.5/3 = 5.5
Step-by-step explanation:
becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)
you need to devide distance by speed to get time.
Vocabulary
1. Volume: A measure of ________ occupied by a __________-________________ figure.
1. Base: The __________ on which an object _______.
1. Height: The ______ distance from top to bottom, creates a ___-degree angle with the base.
1. Inverse Operation: The ________ of a math operation; the opposite of addition is ________ and the opposite of multiplication is ________.
1. Diameter: A ________ line going from one side of a ______ to the other through the _______.
1. Radius: The distance from the ______ to the ______ of a ______; _____ of the diameter.
Volume of a Cylinder
A ____________ is a _____________________ object with a _________________ base and top.
To find the ____________ of a ______________ we use the following formula:
Answers
Answer:
Step-by-step explanation:
. Volume: A measure of _space occupied by a _three dimensional _ figure.
1. Base: The surface on which an object stands on.
1. Height: The _vertical distance from top to bottom, creates a _90° degree angle with the base.
1. Inverse Operation: The opposite of a math operation; the opposite of addition is subtraction and the opposite of multiplication is division.
1. Diameter: A straight line going from one side of a point on a circle to the other through the _center.
1. Radius: The distance from the center to the point of a circle;or half of the diameter.
Volume of a Cylinder
A cylinder is a three dimensional object with a circular base and top.
To find the volume of a cylinder we use the following formula:πr²h
Find the vertex of this parabola:
y = -x2 + 6x – 15
Answers
[tex]y = - x {}^{2} + 6x - 15[/tex]
[tex]y {}^{ \gamma } = - 2x + 6[/tex]
[tex]y {}^{ \gamma } = 0[/tex]
[tex] - 2x + 6 = 0[/tex]
[tex] - 2x = - 6[/tex]
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Substitute x=3 in y=-x²+6x-15[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]
[tex]y = - 9 + 18 - 15[/tex]
[tex]y = - 9 + 3[/tex]
[tex]y = - 6[/tex]
Vertex: (3,-6)
[tex]==============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]
Please remember that a parabola looks like this:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now you know what a and b stand for.
In this case, a = -1, and b is 6:
[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]
Simplify:
[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]
[tex]\mathfrak{3}\\=======================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power :)Answered by[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]
what is the intial value of the function f(x)=3{5/4}^x
Answers
Answer:
3
Step-by-step explanation:
The "initial value" of a function is the value when the independent variable is zero.
f(0) = 3(5/4)^0 = 3×1 = 3
The initial value of the function is 3.
Use the net to determine the total surface area.
Question options:
A. 48 cm2
B. 132 cm2
C. 84 cm2
D. 120 cm2
Answers
I need help for this one.
Answers
Answer:
D. 48 feet
Step-by-step explanation:
Ladder (50 ft) = hypotenuse
Floor distance (14 ft) = b
Wall (unknown) = a
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+14^2=50^2[/tex]
[tex]a^2+196=2500[/tex]
[tex]a^2=2500-196[/tex]
[tex]a=\sqrt{2304}[/tex]
[tex]a=48[/tex]
Hope this helps!
Answer:
48 feet
Step-by-step explanation:
Here,
c = 50 ft
b = 14 ft
To find : the height of the wall that the ladder reaches ( a ) = ?
Formula : -
a² + b² = c²
a² = c² - b²
= 50² - 14²
= ( 50 x 50 ) - ( 14 x 14 )
= 2500 - 196
= 2304
= 48 x 48
a² = 48²
a = 48 feet
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answers
Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
Rewrite the expression x -3/11
in radical form.
Answers
Answer:
11x-3
11
Step-by-step explanation:
and that's the answer
i need help pleasse
Answers
I don’t know if this is correct or not
PLS HELP OMG I CANT FIND IT
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Fix)
X
0-9
10
k= -3
k = 3
k = 5
k = 8
graph below pls help
Answers
Answer:
(d) k = 8
Step-by-step explanation:
The value k in the equation ...
g(x) = f(x) +k
represents a vertical translation by k units.
__
The vertex coordinates for f(x) and g(x) are ...
f(x): vertex = (-3, -3)
g(x): vertex = (-3, 5)
This means ...
f(-3) = -3
g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8
_____
Additional comment
Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.