Figure ABCD is a rhombus.
Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.
What is the value of x?
13
14
26
28
Answers
Answer:
Value of X is 13
The value of x is 13 in given figure, which is correct option (A).
What is the rhombus?A rhombus is defined as a special type of parallelogram that is a quadrilateral with two pairs of equal parallel sides. it fulfills the requirements of a parallelogram.
What is perimeter of rhombus?The perimeter of a rhombus is defined as the total length of its region. The four sides of a rhombus are equal, its perimeter is calculated by multiplying the length of its side by 4.
Perimeter of a rhombus = 4 × A units, where ‘A’ is the length of the side of the rhombus
In figure ABCD is a rhombus
Given as :
Angle ∠ A = (5x + 25)
Angle ∠ D = (7x - 1)
Since adjacent angles of a rhombus add up to 180°
(5x + 25) + (7x - 1) = 180 and both equal
So, 5x + 25 = 7x - 1
Rearrange the terms in the equation,
7x - 5x = 1 +25
2x = 26
x = 13
Hence, the value of x is 13 in given figure.
Learn more about rhombus here :
https://brainly.com/question/27870968
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Related Questions
Given f(x) = -8 + 1, find f(5)
Answers
Answer:
im guessing its actually -8x +1, so
-8 (5) +1
-40 +1
-39
Mark has $5,272.56 in an investment account. On Monday, the account earned $26.74. On Tuesday, the account lost $38.63.
What is the value of Mark's investment account after Tuesday?
Answers
5,260,67 because I used the calculator
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
Answer: m=3 radical 2 and n=3
2222222222222222222222222222222222222222222222222222...
Answers
Answer:
222,222,222,222,222,222,222,222,222,222
Step-by-step explanation:
Intellegenc.
5. Sasha is signing her daughter up for dance classes. There is a one-time
costume fee of $35 and each dass costs $15. Sasha paid a total of $155.
how many classes did she sign up for?
Answers
Answer:
She paid for 8 classes
Step-by-step explanation:
Take away $35 from $155 because it was a one time custom fitting. And they’re asking for how many classes. So 35-155=120. Now you didvide 15 (charge per class) by 120 (total for all classes). And your answer is 8 classes. Hope this helped :)
126 diminished by
the product of two consecutive
integers
Answers
a plant measured x inches tall this week
Answers
Yeah not sure what is your question?
In analyzing this diagram, which statement represents a crucial step to proving the pythagorean theorem using this diagram?
A) The large square on the left contains two smaller squares
B) The large square on the right contains a smaller square with side length c
C) The perimeter of the blue square is equal to the perimeter of the yellow square.
D) Recognize that BOTH of the large squares contain 4 right triangles with base a and height b
Answers
Answer:
D: recognize that BOTH of the large squares contain 4 right triangles with base a and height b
Step-by-step explanation:
A package of 8 notebooks cost $5. How much will 24 notebooks cost?
О.
Oь
Ос
12
15
10
Answers
Answer: B: 15
Step-by-step explanation:
Congressional Terms Below is given the summary from
112th Congress of Senators whose
terms end in 2013, 20.
2017.
2015
20
15
CAPPARE
PRESENTADAL
SCHED
2013
Democrat
21
Republican 8
Choose one of these Senators at random and find
a. P(Democrat and term expires in 2015)
b. P(Republican or term expires in 2013)
c. P(Republican given term expires in 2017)
2017
Answers
The answers to all the subparts are:
(A) P(Democrat and term expires in 2015) = 20/78(B) P(Republican or term expires in 2013) = 57/78(C) P(Republican given term expires in 2017) = 13/14(D) The two events are not independent.A table is drawn according to the given information.
(Refer to the table below)
So,
let d be the event that the person is a Democrat.let r be the event that the person is republican.let 2013 be the event that the person retires 2013.let 2015 be the event that the person retires 2015.let 2017 be the event that the person retires in 2017.From the table:
p(d) = 42 / 78 because there are 42 democrats out of a total of 78 senators who retired in either 2013 or 2015 or 2017.p(r) = 36 / 78 because there are 36 republicans out of a total of 78 senators who retired in either 2013 or 2015 or 2017.p(2013) = 29 because there are 29 senators who retired in 2013 out of a total of 78 senators who retired in all 3 yearsp(2015) = 35 because there are 35 senators who retired in 2015 out of a total of 78 senators who retired in all 3 years.p(2017) = 14 because there are 14 senators who retired in 2017 out of a total of 78 senators who retired in all 3 years.Then,
Our universe is 78 senators who retired in all 3 years (2013, 2015, 2017).
42 are democrats and 36 are republicans.29 retired in 2013 and 35 retired in 2015 and 14 retired in 2017.(A) From the table, we can see that there are 20 democrats who retired in 2015.
p(d and 2015) = 20/78.(B) This one is asking for p(r or 2013)
The formula to use here is p(r or 2013) = p(r) + p(2013) - p(r and 2013).
From the table, we can see that:
p(r) = 36/78p(2013) = 29/78p(r and 2013) = 8So, p(r or 2013) is equal to p(r) + p(2013) - p(r and 2013) which is equal to 36/78 + 29/78 - 8/78 = 57/78.
(C) This is one is asking for p(r given 2017).
The formula to use here is p(r given 2017) = p(r and 2017) / p(2017).
From the table, you can see that:
p(2017) = 14/78p(r and 2017) = 13/78So, p(r given 2017) = p(r and 2017) / p(2017) = (13/78) / (14/78) = 13/14.
(D) if they were independent, then p(r and 2017) would be equal to p(r) * p(2017).
Therefore p(r given 2017) would be equal to p(r and 2017) / p(2017) which would be equal to p(r) * p(2017) / p(2017) which would be equal to p(r).From the table, you can see that p(r) = 36/78.From the table, you can see that p(r and 2017) = 13/78) and p(2017) = 14/78.Therefore p(r given 2017) = p(r and 2017) / p(2017) = (13/78) / (14/78) which is equal to 13/14 which is not equal to p(r) = 36/78Therefore the two events are not independent.Therefore, the answers to all the subparts are:
(A) P(Democrat and term expires in 2015) = 20/78(B) P(Republican or term expires in 2013) = 57/78(C) P(Republican given term expires in 2017) = 13/14(D) The two events are not independent.Know more about the random selection here:
https://brainly.com/question/24466382
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The complete question is given below:
Congressional Terms Below is given the summary from
112th Congress of Senators whose
terms end in 2013, 20.
2017.
2015
20
15
CAPPARE
PRESENTADAL
SCHED
2013
Democrat
21
Republican 8
Choose one of these Senators at random and find
a. P(Democrat and term expires in 2015)
b. P(Republican or term expires in 2013)
c. P(Republican given term expires in 2017)
d. Are the events “Republican” and “term expires in 2015” independent? Explain.
3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answers
Answer:
$1.65
Step-by-step explanation:
first i divided 0.99 by 3, equalling 0.33. i then multiplied 5 times 0.99 to equal 1.65.
(-1,1)becames? (0,0)becomes?(1,1)becomes?
Answers
Answer:
(-1,1) becames 0, (0,0) becomes 0, (1,1) becomes 2
Trust Onepunchman (and maybe brainlist if I get it right)
What is the slope of the equation of a line that passes through the point
(10, 4) and has a y-intercept of -4?
Answers
Answer:
y = 0.8x – 4
or
y = 4 /5x- 4
Step-by-step explanation:
the slope is 4/5 or 0.8 either one work :)
A truck driver is carrying eleven bills. Some of the bills are
$10 bills (x), and some are $5 bills (y). Together, the bills
total $85. How many $10 bills does she have?
Answers
Answer:
6 ten-dollars bills
Step-by-step explanation:
x + y = 11
10x + 5y = 85
5( x + y ) = 5(11)
5x + 5y = 55
10x + 5y = 85
-5x + 0 = -30
x = 6
Explain how to find 27% of 16 using multiplication by
decimal. Then explain how to use estimation to chec
your answer.
Answers
Answer:
4.32
Step-by-step explanation:
You can multiply 16 by 0.27 to get the answer.
16*0.27=4.32
You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.
Answer:
4.32
Step-by-step explanation:
Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
Convert 27% to the equivalent decimal 0.27.
Multiply 16 by 0.27 to get 4.32.
Use estimation to check the answer by choosing the friendly percent 25%.
25% of 16 is equal to 16 ÷ 4 = 4. So the answer is reasonable.
Determine weather the following graph represents a function
Answers
Answer:
it doesn't because there are places where there are two y values which just doesn't work out.
Which of the following are partial products for 43 × 17? Choose all that apply.
Answers
Answer:
21
400
Step-by-step explanation:
A new process for producing a type of novolac resin is supposed to have a mean cycle time of 3.5 hours per batch. Six batches are produced, and their cycle times, in hours, were 3.45 3.47 3.57 3.52 3.40 3.62. Can you conclude that the mean cycle time is greater than 3.5 hours
Answers
Answer:
Yes, the mean cycle time is greater than 3.5 hours
Step-by-step explanation:
Let us try to calculate the mean cycle time here. Consider the given cycle times. To obtain the mean cycle time, we have.
3.45 + 3.47 + 3.57 + 3.52 + 3.40 + 3.62/6 = 3.505 hours
Hence the difference 3.505 -3.5 = 0.005
Hence mean cycle time is greater than 3.5 by 0.005
Plz HELP BRAINLIEST IF CORRECT IM KINDA IN A RUSH PLZ HELP ;)
Answers
Answer:
0.5 quarts of orange juice per quart of punch
Step-by-step explanation:
1.5/3=0.5
Answer:
0.5
Step-by-step explanation:
Since 1.5 quarts are required for 3 quarts you need to divide 1.5 and 3.
1.5 ÷ 3 = 0.5
if the cost of 2 dozen pens is Rs 600 how much more is the cost of 30 pens
Answers
Answer:
Step-by-step explanation:
2dozens= 24
24 pens cost Rs. 600
30 pens cost = (600x30)/24 = 18000/24 = Rs. 750
100 points if you can get this correct what is the 10nth of 800 then what is the 800th of the tenth score that=43565
Answers
Answer:
43565?
what kind of math is this?
Step-by-step explanation:
Answer:
76970
Step-by-step explanation:
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5,
Answers
Answer:
5/8
Step-by-step explanation:
Hope this helps :)
Which is the completely factored form of 12x3 – 60x2 + 4x – 20? 4(3x2 – 1)(x – 5) 4x(3x2 + 1)(x – 5) 4x(3x2 – 1)(x + 5) 4(3x2 + 1)(x – 5)
Answers
Answer:
The answer is 4(3x² + 1)(x - 5).
Step-by-step explanation:
First, you have to take out all the common ratios :
12x³ - 60x² + 4x - 20
= 4(3x³ - 15x² + x - 5)
Next, you have to factorize the inner brackets :
3x³ - 15x² + x - 5
= 3x²(x - 5) + (x - 5)
= (3x² + 1)(x - 5)
Answer:
4(3x² + 1)(x - 5)
Step-by-step explanation:
Given
12x³ - 60x² + 4x - 20 ← factor out 4 from each term
= 4(3x³ - 15x² + x - 5)
Factor the first/second and third/fourth terms inside the parenthesis
= 4[ 3x²(x - 5) + 1(x - 5) ] ← factor out (x - 5) from each term
= 4(3x² + 1)(x - 5)
A piece of charcoal used for cooking is found at the remains of an ancient campsite. A 0.8 kg sample of carbon from the wood has an activity of 1770 decays per minute. Find the age of the charcoal. Living material has an activity of 15 decays/minute per gram of carbon present and the half-life of 14C is 5730 y. Answer in units of y
Answers
Answer:
t = 15825.11 years
Step-by-step explanation:
From the given information:
We can make use of the activity of the sample present after time "t" to determine the age of the sample.
This can be expressed by the formula:
[tex]A = A_o e^{-\lambda t}[/tex] --- (1)
where;
[tex]A_o[/tex]= activity of the sample at time t = 0
[tex]\lambda[/tex] = disintegration constant
[tex]\lambda = \dfrac{0.693}{T_{1/2}}[/tex]
If we replace the value of [tex]\lambda[/tex] into equation (1), we have:
[tex]A = A_o e^{ \Bigg [ -{ \dfrac{0.693}{T_{1/2}} \Bigg ] } t}[/tex]
[tex]\dfrac{A}{A_o} = e^{ \Bigg [ -{ \dfrac{0.693}{T_{1/2}} \Bigg ] } t}[/tex]
By rearrangement:
[tex]t = \dfrac{-T_{1/2} In (\dfrac{A}{A_o})}{0.693}[/tex]
[tex]t = - \dfrac{\left(5730\ \cdot\ \ln\left(\frac{\left(1770\right)}{0.8\cdot10^{3}\cdot15}\right)\right)}{0.693}[/tex]
t = 15825.11 years
Given x=1/2 and y=-x, what is the value of x-y
Answers
Answer:1
Step-by-step explanation:x=1/2 , y =-1/2
X-y = 1/2-(-1/2)=1
Answer:
x-y = 1
Step-by-step explanation:
Question: Given x = 1/2 and y = -x, what is the value of x - y?
Step-by-step:
We know that x = 1/2 and y = -x but we need to find out what -x is equal to.
To find the value of -x, we need to multiple -1 on both sides of the equation: x = 1/2
(You can think of it like -1 acts like an invisible number)
x*-1 = 1/2*-1 which is -x = -1/2
Since y is equal to -x, y = -1/2
We need to find x - y which is 1/2 - (-1/2)
Because the negative and subtraction signs cancel out, we add instead. The equation becomes 1/2 + 1/2
One half + half = 1
Therefore, x-y = 1
A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for this month, how much interest would you have to be paid on the balance?
Answers
Answer:
B
Step-by-step explanation:
Because
I WILL GIVE BRAINLIST IF THE ANSWER IS RIGHT
state of these are like terms or a pair of terms
-6x, 10x
3y,6z
1/4k, 0.5k
Answers
Answer:
Pair of terms
Step-by-step explanation:
Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Answers
Dilation involves changing the size of a shape.
The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
The given parameters are:
[tex]k =3[/tex] --- the scale factor
[tex]E = (-4,0)[/tex]
[tex]F =(0,2)[/tex]
Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.
[tex]E' = E \times k[/tex]
[tex]E' = (-4,0) \times 3[/tex]
[tex]E' = (-12,0)[/tex]
[tex]F' = F \times k[/tex]
[tex]F' = (0,2) \times 3[/tex]
[tex]F' = (0,6)[/tex]
Given that line g is represented by points E and F; line g' would be represented by points E' and F'
So, both lines would be parallel.
Hence, the true option is (d)
Read more about dilation at:
https://brainly.com/question/3457976
Answer:
The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Step-by-step explanation:
6) What is the equation of the green line? HELP PLEASE
Answers
Answer:
y=2/3x+18
Step-by-step explanation:
y-intercept=18 as seen
slope seems to be 2/3
The following is a listing of the amount of sugar in six popular snacks found on a high school campus:
34g 34g 42g 50g 52g 58g
What is the median?
Answers
Answer:
The median is 46 g
Step-by-step explanation:
The median of a data set is the middle value. Since there are six snacks, which is an even number, you can't pick out a single middle value. Instead, to get the middle value you have to add the middle 2 numbers together and then divide them by 2 for the median.