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Related Questions
WXY is an isosceles triangle with line WX congruent to line WY. if WX is 3 more than four times x, XY is 7 less than five times x, and WY is 66 less than seven times x, find x and the measure of each side.
Answers
Answer:
x=10
Step-by-step explanation:
part 1:
4x+3=5x-7
(subtract 4x from 5x to get 1x and add 7 to 3 to get 10)
1x=10
x=10
part 2:
WX=4(10)+3=43
XY=5(10)-7=43
WY=7(10)-66=4
An isosceles triangle, have two congruent sides.
The value of x is 23The measure of each side is 95, 95 and 108From the question, we have the following highlights
[tex]\mathbf{WX = WY}[/tex]
[tex]\mathbf{WX = 3 + 4x}[/tex]
[tex]\mathbf{XY = 5x - 7}[/tex]
[tex]\mathbf{WY = 7x - 66}[/tex]
(a) Find x
We have:
[tex]\mathbf{WX = WY}[/tex]
Substitute values for WX and WY
[tex]\mathbf{3 + 4x = 7x - 66}[/tex]
Collect like terms
[tex]\mathbf{7x - 4x = 3 + 66}[/tex]
[tex]\mathbf{3x = 69}[/tex]
Divide both sides by 3
[tex]\mathbf{x = 23}[/tex]
Hence, the value of x is 23
(b) The measure of each side
Substitute 23 for x in:
[tex]\mathbf{WX = 3 + 4x}[/tex]
[tex]\mathbf{XY = 5x - 7}[/tex]
[tex]\mathbf{WY = 7x - 66}[/tex]
[tex]\mathbf{W = 3 + 4 \times 23}[/tex]
[tex]\mathbf{W = 95}[/tex]
[tex]\mathbf{XY = 5x - 7}[/tex]
[tex]\mathbf{XY = 5 \times 23 - 7}[/tex]
[tex]\mathbf{XY = 108}[/tex]
[tex]\mathbf{WY = 7x - 66}[/tex]
[tex]\mathbf{WY = 7 \times 23 - 66}[/tex]
[tex]\mathbf{WY = 95}[/tex]
Hence, the measure of each side is 95, 95 and 108
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Given the function f(x)=x2+2x+1, find: f(2b)
Given the function f(x)=x2+2x+1, find: f( 2a−3/5 )
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I will do the first one only. The second question is done the same way.
Replace every x you see in the function with 2b and do the math.
f(x) = x^2 + 2x + 1
Let x = 2b
f(2b) = (2b)^2 + 2(2b) + 1
f(2b) = 4b^2 + 4b + 1
Did you follow? That's all there is to it.
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
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Answer:
75⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Given:
x = 90 - x + 60
2x = 150
x = 75⁰
If your car travels 290 miles and uses 8.2 gallons, how many miles per gallon did you get? (round your answer to three decimal places.)
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Identify the expression that is equivalent by distributive property of5(2x+3)A 10x +3B 10x + 5C 10x +15
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5 time 2x is 10x plus 5 times 3 is 15 because you multiply the 5 with everything inside the parentheses. so your equarions should look like 10x + 15
10x + 15
Choice C
is that ok?? i just want to make sure, thanks
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SOS!!!!!!!!!!!!!!!!!!!!!!
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What does it mean to be “in the black?”
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To be in red is the opposite of to be in black and it means that the person is in debt.
Answer: c you have more credits then debts
Step-by-step explanation:
What is the lowest common multiple of (3^2 x 8^4) and (3^3 and 8^3) ?
Help me and how to do this??
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Hope this helps :)
A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearest tent.
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32 miles per hour
5280 feet in 1 mile
32 x 5280 = 168,960 feet per hour
3600 seconds per hour
168,960 divided by 3600 = 46.9333 (continuous)
rounded to the nearest tenth is 46.9 feet per second.
Speed is the rate of change of distance over time.
The speed in feet per seconds is 46.9
The speed of the giraffe is given as:
[tex]\mathbf{Speed = 32 miles/hour}[/tex]
Start by converting miles to feet
To do this, we multiply 32 by 5280.
So, we have:
[tex]\mathbf{Speed = 32 \times 5280feet/hour}[/tex]
[tex]\mathbf{Speed = 168960feet/hour}[/tex]
Next, convert hour to seconds
To do this, we divide by 36000.
So, we have:
[tex]\mathbf{Speed = \frac{168960}{3600} feet/seconds}[/tex]
[tex]\mathbf{Speed = 46.9 feet/seconds}[/tex]
Hence, the speed in feet per seconds is 46.9
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25 POINTS PLS HURRY!!!
How does the graph of g(x)=0.25⌊x⌋ differ from the graph of f(x)=⌊x⌋?
Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ up 0.25 unit.
Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ right 0.25 unit.
Multiplying by 0.25 shifts the graph of g(x)=0.25⌊x⌋ down 0.25 unit.
Multiplying by 0.25 compresses the graph of g(x)=0.25⌊x⌋ vertically by a factor of 0.25.
Answers
Answer:
The answer is d
Step-by-step explanation:
Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)? 2x2 + 4x + 6 2x2 − 4x + 6 2x2 + 4x − 6 2x2 + 4x − 6 + 1 over the quantity of x minus 2
Answers
The answer to your question would be 2x^2+4x+6
Answer:
[tex]\text{The quotient is }2x^2+4x+6[/tex]
Step-by-step explanation:
Given the dividend and divisor we have to find the remainder using synthetic division.
The given polynomial [tex]2x^3-2x-12[/tex] is divided by (x-2).
Step 1: Set up the synthetic division.
The dividend goes on the inside of the box.
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c i.e 2 by the value just written on the bottom row.
Step 4: Add the column created in step 3 and write the sum in the bottom row.
Repeat steps 1-4 until the last column.
From the last row the remainder becomes
[tex]2x^2+4x+6[/tex]
Hence, option A is correct.
State the missing reasons in this flow proof.
Given: angle 5 = 40, angle 2 = 140.
Prove: a is parallel to b.
Statements:
angle 5 = 40 a. ____________.
angle 2 = 140 b. _____________.
angle 5 and angle 2 are supplementary angles c.________.
Angle 5 and angle 2 are same-side interior angles d._________.
a is a parallel to b e._______
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The provided statements are either given information, interpretations from the given diagram or applying rules of geometry such as the definitions of supplementary angles and the Same-Side Interior Angles Theorem.
Explanation:The missing reasons in this geometric proof are as follows:
a. Given: The fact that angle 5 = 40 is simply provided, it's the given information in the question.
b. Given: Similarly, the measurement of angle 2 being 140 is given information.
c. Definition of supplementary angles: Angle 5 and angle 2 are supplementary because the sum of their measure equals 180 (40+140).
d. Interpretation of the diagram: Without a diagram, it's difficult to be precise, but if angle 5 and angle 2 are indicated as same-side interior angles, then this inference comes from interpreting the diagram.
e. Same-Side Interior Angles Theorem: Lastly, if the same-side interior angles are supplementary, then the lines are parallel. This is a rule encapsulated by the same-side interior angles theorem.
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The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.
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Perimeter = (2 x Length) + (2 x Width)Width = [Perimeter - (2 x Length)]/2= [36 -(2 x 13)]/2= (36 - 26)/2= 10/2= 5 inches
Area = Length x Width= 13 x 5 = 65 square inches
Terms and coefficients of 7p - 3r + 6 - 5s
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The terms and coefficients of the expression 7p - 3r + 6 - 5s are 7p, -3r, 6, and -5s, with coefficients of 7, -3, no coefficient, and -5 respectively.
Explanation:The terms and coefficients of the expression 7p - 3r + 6 - 5s are:
The term 7p has a coefficient of 7.The term -3r has a coefficient of -3.The term 6 is a constant and does not have a coefficient.The term -5s has a coefficient of -5.Learn more about Terms and Coefficients here:https://brainly.com/question/23992956
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Plz can I help me with math
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6x1.50=£9
6trifles=£9
brainliest plz
How do you find the quadratic equation of a parabola with the vertex and x intercept?
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Solve each system by graphing or using a table
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Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash? 2 trucks 3 trucks 4 trucks 5 trucks
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What equation is graphed in this figure?
A.y-4=-1/3(x+2)
B.y-3=1/3(x+1)
C.y+2=-3(x-1)
D.y-5=3(x-1)
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The correct answer is option C
--------------------------------------
Graph using the slope and y- intercept
Slope: -3
Y-intercept: 1
Good luck with your studies!
write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6
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substitute -2 for x and 5 for y
5=2(-2)+b4
Solve for b
b=9
The equation is
y=2x+9
Factor -8x^3-2x^2-12x-12x-3
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A=11+4b-4c. Solve for C.
Answee Choices:
A. C=a-4b-11/-4
B. C=a+b-11/-4
C. C=a+4b+11/-4
D. C=a-b+11/-4
Can someone please explain this with steps? I don't understand this problem. Thanks!
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The correct answer is option A
a= 11 + 4b - 4c
-4c = a + 11 + 4b
Divide both sides by -4
-4c/-4 = (a + 11 + 4b)/-4
c = a -4b - 11/-4
I hope I helped!
Two expressions with equal sign is equation. C=a-4b-11/-4 is the solution for c when given equation is A=11+4b-4c. Option A is correct.
What is equation?Two expressions with equal sign is called as equation.
Given equation,
a= 11 + 4b - 4c
We need to separate c from equation,
-4c = a - 11 - 4b
Divide both sides by -4
c=(a-11-4b)/-4
Therefore option A is correct for equation A=11+4b-4c.
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In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
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In 4 years Harry will be 6
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.
hope this helps!
Answer: The present age of Harry is 2 years and that of Jim is 6 years.
Step-by-step explanation: Given that in 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be.
We are to find the present ages of Harry and Jim.
Let x and y represents the present ages of Harry and Jim respectively.
Then, according to the given information, we have
[tex]x+4=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y+2=2(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (i) in equation (ii), we get
[tex]y+2=2x+4\\\\\Rightarrow x+4+2=2x+4\\\\\Rightarrow 2x-x=2\\\\\Rightarrow x=2.[/tex]
From equation (i), we get
[tex]y=x+4=2+4=6.[/tex]
Thus, the present age of Harry is 2 years and that of Jim is 6 years.
Simplify square root of negative 48.
a) negative 4 square root of 3
b) 4 square root of negative 3
c) 4 i square root of 3
d) 4 square root of 3 i
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Note that
i² = -1 by definition.
Therefore
[tex] \sqrt{-48} = \sqrt{i^{2}.16.3} = \sqrt{i^{2}} \sqrt{16} \sqrt{3} =4i \sqrt{3} [/tex]
Answer: c. [tex]4i \sqrt{3} [/tex]
Answer:
C. 4 i square root of 3
Step-by-step explanation:
Find the value of y in the equation
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[tex] \frac{3}{y-2} =8[/tex]
Multiply each side by (y - 2).
[tex](y-2).( \frac{3}{y-2)}) = 8(y-2) [/tex]
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16 to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y
Answer: [tex]y= \frac{19}{8} [/tex]
What is the relationship between the sine and cosine of complementary angles in a right triangle? Please give an example to support your answer.
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Let [tex]m(\angle A)=\alpha[/tex], and [tex]m(\angle B)=\beta[/tex].
[tex]\alpha +\beta=90^{\circ}[/tex], so angles A and B are complementary.
According to the definition of sine, and cosine:
[tex]\displaystyle{ \sin \alpha= \frac{opposite\ side}{hypotenuse} =\frac{a}{c} [/tex], and
[tex]\displaystyle{ \cos \beta= \frac{adjacent\ side}{hypotenuse} =\frac{a}{c} [/tex]
Answer: they are equal.
Final answer:
The sine and cosine of complementary angles in a right triangle are equal to each other but reversed, because the opposite side for one angle is the adjacent side for the other, relative to the hypotenuse.
Explanation:
The relationship between the sine and cosine of complementary angles in a right triangle is that they are equal to each other but reversed. If one angle is x and its complementary angle is 90° - x (because complementary angles add up to 90°), then the sine of x is equal to the cosine of its complementary angle, and vice versa.
This is because, in a right triangle, the side that is the opposite side for one angle becomes the adjacent side for the complementary angle, relative to the hypotenuse which remains the same for both angles.
For example, in a right triangle with one acute angle of 30°, its complementary angle is 60°. The sine of 30° is 1/2, and the cosine of 60° is also 1/2. Similarly, the cosine of 30° is [tex]\sqrt{3/2[/tex], and the sine of 60° is [tex]\sqrt{3/2[/tex] shows a complementary relationship.
Sally has 42 coins, all dimes and nickels, that have a total value of $3.00. How many nickels does she have?
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Sally has 24 nickels.
Explanation:To determine the number of nickels Sally has, we can set up a system of equations using the given information. Let's assume Sally has x nickels and (42 - x) dimes. The value of the nickels is 5x cents, and the value of the dimes is 10(42 - x) cents. We can set up the equation: 5x + 10(42 - x) = 300 (since the total value is $3.00).
Simplifying the equation, we get: 5x + 420 - 10x = 300. Combining like terms, we have: -5x + 420 = 300. Subtracting 420 from both sides gives us: -5x = -120. Dividing both sides by -5, we find x = 24.
Therefore, Sally has 24 nickels.
PLS HELP!!!
A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same.
.08c = .05c + 7.50; c = 250
.05c = .08c + 7.50; c = 22.5
.08c = .05c – 7.50; c = 250
7.50 = .08c + .05c; c = 58
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Answer:
.08c=.05c-7.50; c=250
Step-by-step explanation:
Fabian has a savings account balance of $1,374.73. The interest rate on the account is %3.9 compounded twice a year. If he opened the account nine years ago, what was the value of his deposit?
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ieff = (1 + i/n)^m - 1
Substituting the known values,
ieff = (1 + 0.039/2)^2 - 1
ieff = 0.0394
The value of the initial investment can be calculated through the equation,
F = P x (1 + ieff)^n
P = F / (1 + ieff)^n
Substituting the known values,
P = ($1374.73) / (1 + 0.0394)^9
P = $971.06
ANSWER: $971.06