Answers
Answer: CD=7
Step-by-step explanation: By the definition of congruence, AB=CD.
Substitute the given expressions for AB and CD.
x+5=2x+3
Subtract x from both sides.
5=x+3
Subtract 3 from both sides.
2=x
Substitute x=2 back into the expression for CD and simplify.
CD=2(2)+3=7
Therefore, CD=7.
I hope this helps.
ariana
Related Questions
A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetry of this function?
Answers
Answer:
x = - 1
Step-by-step explanation:
The axis of symmetry is a vertical line located at the midpoint of the zeros.
Equation is then
x = [tex]\frac{-5+3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , that is x = - 1
HERE for help me one more
Answers
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.
Answers
Answer:
35 members
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is 7 : 10
From the above ratio
Number of junior member = 7
Number of senior members = 10
There are 18 more senior members than junior members.
S = 18 + j
10 + 18 = 28 senior members
Hence,
Total number of members = 28 senior members + 7 junior members
= 35 members
A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?
Answers
Answer:
2
Step-by-step explanation:
Count the spins
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.
Answers
Answer: the answer is 20.
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answers
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units. What is BC, the height of the pyramid? 7 units 7StartRoot 2 EndRoot units 14 units 14StartRoot 2 EndRoot units
Answers
The length of line height BC according to the given parameter is; 14√2.
What is the length of the line BC?It follows from the task content that the base edge length of the pyramid is 14 units.
On this note, it follows that length of the segment BC is given by Pythagoras theorem as;
BC² = 14² + 14²
BC = 14√2.
Read more on Pythagoras theorem;
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Answer:
D. 14StartRoot 2 EndRoot units
Step-by-step explanation:
Edge
Solve for x.round to the nearest tenth. 70,6
Answers
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answers
Answer:
20400
Step-by-step explanation:
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answers
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
PLEASEEEE HELPPPPP ME !! :)
Answers
Answer:
ok ok, i think it's the last one
Step-by-step explanation:
common multiples for 30 21 and 24
Answers
Answer:
The common multiple for 30 21 and 24 is 3
Step-by-step explanation:
30 = 3 × 10
21 = 3 × 7
24 = 3 × 8
Thus, 3 is the common multiple for 30 21 and 24.
-TheUnknownScientist
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Answers
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th
Answers
Answer:
618.2203≈618.22
Step-by-step explanation:
618.2203≈618.22
What is
as a percent?
20%
35%
6%
60%
Answers
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
what is the slope of the line
Answers
Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answers
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answers
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
Which expression is equivalent to 0.06h +h+0.85h?
Answers
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
A quadrilateral in the coordinate plane has vertices (3, 2), (3,-4), (5,4), and (5,-2). What is the area, in square units, of the quadrilateral?
Answers
Answer:
4 square units
Step-by-step explanation:
the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4.
What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6
Answers
You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined
Answers
Answer:
A. the $5 off coupon
Step-by-step explanation:
10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more
The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.
Which coupon should I use?Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.
Coupon 1 : 10% x 29.9 = $3
Coupon 2 : 29.90 - $5 = $24.90
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
What is the value of log4 2?
Answers
Answer:
1/2
Step-by-step explanation:
type it into the calculator
The value of logarithm log base 4(2 is 1/2.
What is Logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Rewrite as an equation.
log base 4(2)=x
and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b are positive real then
log (base b) x= y equivalent to [tex]b^y[/tex] = x
Create expressions in the equation that all have equal bases.
log base 4(2)=x
[tex](2^2)^x[/tex] = 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x = 1
x= 1/2.
Learn more about Logarithm here:
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Solve m+18+23=71
PLZZZZZ I NEED THE ANSER PLZZZ
Answers
Answer:
m + 18 + 23 = 71
m + 41 = 71
m = 71 - 41
m = 30
Answer:
30
Step-by-step explanation:
m+18+23=71
m+41=71
m=71-41
m=30
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answers
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answers
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer
name the following polynomial expression.
[tex] {4x}^{2} + x - 3 [/tex]
Answers
Answer:
Step-by-step explanation:
It has 3 terms so it is a trinomial.
It can also be called a quadratic.
Answer:
a trinomial.
If that is what ur asking for
Step-by-step explanation:
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side.
Answers
Answer:
I would say use photomath if you cant find your answer.
Step-by-step explanation:
Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.
Answers
Answer:
2560 J
Step-by-step explanation:
mv^2/2
80(8)^2/2
2560 J
what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)
Answers
Answer:
-77·√30
Step-by-step explanation:
(-7)·√3·11·√10 = (-77)·√3·10 = -77·√30