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
A triangle has one side that is 6 units long and another side that is 3 units long.
Which of the following could be the length of the third side?
2 units
3 units
4 units
6 units
8 units
10 units
Answers
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
How to determine the possible length of the third side?To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
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Write a money problem you can solve using sharing, joining, or separating
Answers
Answer:
Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?
Step-by-step explanation:
100-40=60
Jonny has 60 dollars left
(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.
(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.
(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.
Answers
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let p represent the population of the bacteria after d days.
[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]
b) 24 hours = 1 day, hence:
[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
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Which set of data is represented by the box plot? Interactivate: Box Plot Question 6 options: {1, 4, 6, 10, 12, 13, 17, 20, 21} {1, 4, 6, 10, 12, 14, 19, 20, 25} {4, 5, 8, 10, 15, 17, 19, 20, 25} {1, 4, 6, 7, 8, 9, 10, 12, 25}
Answers
To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
What is a Box Plot?If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.
The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.
Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
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an office manager purchased 39 boxes of pens for the staff. each box contains 6 black pens and 4 blacks pens. Use the distribute property to write an equivalent expression for the total number of pens. them, simplify the expression
Answers
Answer:
390 pens in total
Step-by-step explanation:
Each box has 6 black and 4 black
so the total amount of pens per box should be 10 because 6+4=10
Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.
6+4 is 10
and 10 * 39 is 390
therefore the answer is 390 pens in total
How do you do this? Because I don’t get it
Answers
Answer:
5,-17
6,-21
Step-by-step explanation:
When the input goes up by 1 the output goes up by negative 4 each time
Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answers
Answer:
$197.80
Step-by-step explanation:
$931.00 - $139.80 = $791.20
$791.20 / 4 equal installments = $197.80
What the value of w?
Answers
Answer:
56 degree
Step-by-step explanation:
90 - 34 = 56
Answer:
w = 56
Step-by-step explanation:
w + 34 = 90 (the angle is a right angle)
w = 90-34 = 56
Complete the missing exponent 64=4_
Answers
Answer:
64=4^3
Step-by-step explanation:
4x4x4=64. 4x4x4=4^3 as there are three 4s. Hope it helps!
Hope this helps
Help help help math math math
Answers
Answer:
adjacent
Step-by-step explanation:
share the same side
Answer:
adjacent
Step-by-step explanation:
help. will give brainliest. please hurry!!! <3
also, please explain how to get my answer. need to show work.
Answers
Proof is below
Help!!!!!!!!!!!!!!!!!!!!
Answers
make r the subject of this formula t=2r/r-1
Answers
[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]
The formula of r is t/t-2 for equation t=2r/r-1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is t = 2r/r-1
t equal to two times of r divided by r minus one
We need to find the formula for r
t = 2r/r-1
Apply cross multiplication
t(r-1)=2r
Apply distributive property on left side
tr-t=2r
Subtract 2r on both sides
tr-2r=t
r(t-2)=t
Divide both sides by t-2
r=t/t-2
Hence, the formula of r is t/t-2 for equation t=2r/r-1.
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can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answers
Answer:
of 34.576:
34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)
34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)
34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000
34.576 = 30 + 4 + 0.5 + 0.07 + 0.006
Step-by-step explanation:
That is 34.576 in expanded form, so know you can know which is correct
Find the 10th term. 10, 15,20,...
Answers
2: 15
3:20
4:25
5:30
6:35
7:40
8:45
9:50
10:55
Step-by-step explanation:
formula
an = a1 + (n - 1) d
10 = a1
15 = a2
20 = a3
n = unknown number
d = difference between each sequence
a10 = 10 + (10 - 1) 5
a10 = 10 + (9)5
a10 = 10 + 45
a10 = 55
if the length of a rectangle is 3 times of its breadth and perimeter is 96cm find the length and breadth of rectangle
Answers
Length=3x
Perimeter of a rectangle=2(l+b)
96=2(3x+x)
96=2(4x)
96=8x
x=96/8
x=12
Therefore breadth=12cm
Length=12*3=36cm
Find the lateral surface area of the rectangular prism in centimeters
Answers
Answer:
180 cm2 is the answer you can multiply all sides
Answer:
Step-by-step explanation:
length = l = 9 cm
Width = w= 3 cm
height = h = 4 cm
Lateral surface area = 2 *( lh+ lw)
= 2*( 9*4 + 9*3)
= 2 * (36 + 27)
= 2 * 63
= 126 square cm
The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number
Answers
Answer:
The probability is probably about 55%
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
37×2=74
360-74 = 286
286 ÷ 2=143
Of course, if AD and BC , and also BA and CD are even.
Which number is an irrational number?
A) 3.5
B) √ 36
C) √ 148
D)
37
—
100
Answers
Answer:
C) √ 148
Step-by-step explanation:
The frequency table shows the number of students selecting each type of
food.
Nachos Popcorn Smoothies Total
Boys
5
6
4
15
Girls
6
8
4
18
Total
11
14
8
33
What proportion of students chose popcorn?
Answers
The proportion of students who chose popcorn will be 14/33.
How to calculate the proportion?From the information, the frequency table shows the number of students selecting each type of
food.
The number of people who choose popcorn = 14
Total number of people = 33
Therefore, the proportion of students chose popcorn will be:
= 14/33
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Answer:
0.42
Step-by-step explanation:
How do you check the apparent solution of the following systems of equations: x+3y=8, x-4y=-6
Answers
Answer:
x=2
y=2
Step-by-step explanation:
x+3y=8
- x-4y=-6
7y=14
y=14/7
y=2
x+3(2)=8
x+6=8
x=8-6
x=2
y=2
x=2
Write an equation of a parabola with the given vertex and focus. Vertex (3,-2); focus (3,-3). Y=
Answers
Answer:
help mee
Step-by-step explanation:
i neddd heplp with my mathh thankyou
— I just need help,
look at picture for information .
Answers
Answer:
a = √28
Step-by-step explanation:
The Pythagorean theorem tells you the area of the large square is the sum of the areas of the smaller two squares.
8² = a² +6²
a² = 8² -6² = 64 -36 = 28
Taking the square root, we find ...
a = √28
PLEASE HELP ME PLEASE
Answers
Answer
true
Step-by-step explanation:
Answer:
I think true because that's the only star that is closest to the earth
If 10% of your paycheck was withheld for federal income taxes and another 6% for state income taxes, how much would your net (or take-home) pay be?
Answers
Your net income/take-home would be 84.6 percent of the gross amount.
What is net income?Your net income is the amount of money left after payroll deductions in the form of taxes and other charges on the gross amount of your paycheck.
If we deduct federal and state taxes, 10 percent and 6 percent respectively, we would charge 10 percent and 6 percent of 100 and have 84.6 percent of your original(gross) income left.
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Please help I'll mark brainliest
Answers
A triangular garden is being
formed by bricks. The three
sides measure 4 feet, 10
feet, and 3 feet in length.
Will these measurements
result in a triangle?
Answers
Answer:
Yes
Step-by-step explanation:
If there are three measurements, then it will result in a triangle.
help!! i’ll mark u brainlinest
Answers
Answer:
Step-by-step explanation:
So because all straight lines are 180 degrees
180-32 = 148
Answer 148 degrees
I hope that helps!
Answer:
148
Step-by-step explanation:
If you add the measures of Angle BPC and Angle DPB, they will equal 180. This is because they are the two angles that make up an even bigger angle, a straight angle (Angle CPD), that equals 180 degrees. Let's solve for x now.
x + 32 = 180
x + 32 (- 32) = 180 (- 32)
x = 148
Therefore, x is equal to 148. I hope this helps! Have a lovely day!! :)
can someone pls answer both of these questions
WILL MARK BRAINLIEST
Answers
Answer:
Sorry I only know answer to the second question
That is 12000
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE