Answers
Answer:
[tex]m∠1 + m∠2 = 180[/tex]
Step-by-step explanation:
[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]
[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]
[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]
[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]
[tex]360 - 2(60) = m∠2 + m∠4[/tex]
[tex]360 - 120 = m∠2 + m∠4[/tex]
[tex]240 = m∠2 + m∠4[/tex]
[tex] \frac{240}{2} = m∠2 = m∠4[/tex]
[tex]120 = m∠2 = m∠4[/tex]
[tex]m∠2 = 120 \\ m∠4 = 120[/tex]
[tex]m∠1 = 60 \\ m∠3 = 60[/tex]
[tex]m∠2 = 120 \\ m∠4 = 120[/tex]
[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]
[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]
[tex]2(60) + 2(120) { = }^{?} 360[/tex]
[tex]120 + 240 { = }^{?} 360[/tex]
[tex]360 = 360[/tex]
[tex]m∠1 + m∠2 [/tex]
[tex]60 + 120 = 180[/tex]
[tex]m∠1 + m∠2 = 180[/tex]
Related Questions
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
Answers
1 On average, Shawnte drinks 2 of a 6-ounce glass of water in hour. How much water 3 does she drink in an hour?
Answers
Answer:
3/4 of a 6-ounce glass
Step-by-step explanation:
Given time = 2/3 of hour
As hour = 60 min
= 120/3
= 40 mins
So,
40 mins: water in take is 3 ounce
1 minute: water in take is 3/40
60 mins: water in take is (3/40) x 60 = 4.5 ounce
Solve: 19x2 +
12x2 +5x-4 - 122x+6
O x= 2
x= -5
x = 2, x= -5
no solution
Answers
Answer:
x = 2, x = -5 (The third option)
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for x
Which of the tables represents a function?
a. Table A
b. Table B
c. Table C
d. Table D
Answers
Answer:
the answer is D (U,U).-
Step-by-step explanation:
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answers
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
nodadnotoday is my Spotify tho
Use variables to write an equation that represents the relationships between the time x and the distance y.
An eagle flies 40 miles per hour.
An equation that represents the relationships is y = ?
Answers
Explanation:
Distance = Velocity x Time
In this case:
y represent distance
x represent time
40mi/hr is the velocity
Therefore, y = 40x
An equation that represents the relationships between the time x and the distance y is y = 40x.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
An eagle flies 40 miles per hour.
An equation that represents the relationships between the time x and the distance y:
Here, x and y are the variables.
So, the equation,
y = 40x.
Therefore, y = 40x is the required equation.
To learn more about the linear equation;
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Expression A: 2x+ 2 Expression B: 1 + 2x + 1 Which statement can be used to show that these expressions are equivalent? A. Each expression includes the term 2x. B. 2x + 2 can be rewritten as 1 + 2x + 1 using the distributive property C. Both expressions involve addition D. The expressions name the same number regardless of the value of x.
Answers
Answer:
C. Both expressions involves addition.
Step-by-step explanation:
Chose the correct description of the graph of the inequality: -2x > 8
A number line with an open circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the right.
A number line with an open circle on -4, shaded to the right.
Answers
Explanation: -2x/-2 > 8/-2 = x < -4
Here's a screenshot of the answer below:
Please help me 20 points
Answers
Answer:
sureeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
it's actually 10 points
How many 1/3 yard lengths are in 1 yard
Answers
Answer:
3
Step-by-step explanation:
1/3 yard lengths times 3 equals 3 (or 1 yard).
There are 3 numbers of 1/3 yard lengths are in 1 yard.
What is the arithmetic operator?A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.
A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.
1 yard = 1/3 yard + 1/3 yard + 1/3 yard
The lowest common multiple of the right hand will be 3
So,
1 yard = (1 + 1 + 1)/3 yard
1 yard = 3/3 yards
1 yard = 1 yard
Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.
To learn more about the arithmetic operator
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for what value of 0 is cos^-1(sqrt2/2)=0?
Answers
The value of theta is pi/4
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)= \theta[/tex]
here the value of the,
What is the value of the arccos(sqrt2/2)?The value of the arccos(sqrt2/2) is,
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)=\frac{\pi }{4}[/tex]
Therefore the value of theta is pi/4
So the second option is correct.
To learn more about the trigonometric function visit:
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When two variables are in a proportional relationship, which of the
following is true about their values. *
their sums are a constant
their differences are a constant
their products are a constant
their quotients are a constant
Submit
Answers
Answer:
Their quotients are a constant
Step-by-step explanation:
Required
Quotient of two variable
Let the variables be x and y
The quotient of x and y in this case is their constant of variation.
Take for instance:
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
Their quotient is calculated as follows:
[tex]Quotient = \frac{y}{x}[/tex]
[tex](x_1,y_1) = (2,4)[/tex]
[tex]Quotient = \frac{4}{2} = 2[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex]Quotient = \frac{8}{4} = 2[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
[tex]Quotient = \frac{16}{8} = 2[/tex]
Notice that the quotient has a constant value of 2.
However, the sum, difference or products will give a different set of values entirely.
Hence, option (d) is correct
Andrea ordered a computer
on the Internet. The
computer cost $1,399 plus
6.5% sales tax. What was
the total amount Andrea paid
for her computer?
Answers
1489.935
Explanation
6.5% of 1399
= 90.935
1399+90.935= 1489.935
Which describes the missing number plotted on the number line?
A. the opposite of -4
B. the opposite of 4
C. the absolute value of -4
D. the absolute value of 4
Answers
A construction company bought 673.718 kilograms of gravel and 140.91 kilograms of sand. How many kilograms of material did the company buy in all?
Answers
Answer:
814.628 kg
Step-by-step explanation:
We are finding the total number of kilograms, so we must add it all together.
673.718 + 140.91 = 814.628 kg in all
What is the length of x?
Answers
Answer:
25
Step-by-step explanation:
a2+b2=c2
3^2+4^2=c^2
9+16=25
25^2=625
Sqrt of 625 = 25
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 4² + 3² = 16 + 9 = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
What are the two methods for finding the constant of proportionality when given a table
Answers
Answer:
If the ratio of one variable to the other is constant, then the two variables have a proportional relationship, If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x.
Step-by-step explanation:
Someone help me with this, please! i’ll mark u as brainlist
Answers
Answer:
x = 8
Step-by-step explanation:
2x + 5 = 21
-5 -5
2x = 16
2x/2 = 16/2 ( divided 2 on both sides)
you get x= 8
to check your work, replace x with 8 in the equation
2 x 8 + 5 = 21 ( don't forget PEMDAS!!)
16 + 5 = 21
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 9.1
2. 8.2
3. 9.4
4. 7
Answers
Answer:
[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]
Step-by-step explanation:
First, recall the three basic right triangle trigonometry ratios.
sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.
We are also given 2 sides: 10 and x.
10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.
[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]
The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.
[tex]sin(70)=\frac{x}{10}[/tex]
We are solving for x. We must isolate x on one side of the equation.
Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.
[tex]10*sin(70)=\frac{x}{10}*10[/tex]
[tex]10*sin(70)=x[/tex]
[tex]10*0.939692621=x[/tex]
[tex]9.39692621=x[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.
[tex]9.4 \approx x[/tex]
x is about 9.4
Answer:
First, recall the three basic right triangle trigonometry ratios.sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.We are also given 2 sides: 10 and x.10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.sin (\Theta)= \frac{opposite}{hypotenuse}}The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.sin(70)=\frac{x}{10}sin(70)= 10x
We are solving for x. We must isolate x on one side of the equation.Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x
∗1010*sin(70)=x10∗sin(70)=x10*0.939692621=x10∗0.939692621=x9.39692621=x9.39692621=xRound to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.9.4 \approx x9.4≈xx is about 9.4
Sheila can pay her hotel bill in Euros (€) or Pounds (£).
The bill was €425 or £365 when the exchange rate was £1 = €1.14.
In which currency was the bill cheaper?
Show all your working.
Answers
Answer:
£365 is cheaper than €425.
Step-by-step explanation:
We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.
€425 or £365
£365 = €(365 * 1.14)
£365 = €416.10
€425 > €416.10
£365 is cheaper than €425.
Is this wrong?
Factorize x^2+3x+2
x^2+2x+x+2
x(x+2)+x+2
(x+2)(x+2)
if wrong please correct.
Help!
Answers
Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
Help I’ll thank you a lot :)
Answers
Find the height of a right circular cone whose radius is 5 cm and volume is 100 pie cm cubed
Answers
Answer:
h = 3.82
I have attached picture
can u pls help me with this question
Answers
Answer: a or d
Step-by-step explanation:
Which statement best represents the equation below?
10+(-10)=0
1. A dog runs 10 feet to the left and then runs another 10 feet to the left .
2. A car goes 10 feet and then reversed 10 feet .
3. A bottle contained 10 litters of juice after 10 liters spilled on the floor .
4. A girl earns $10 in 10 hours .
Answers ASAP!!!!!
Answers
Answer:
the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start
A store manager purchases a DVD for $15. He marks it up to $21.75 in order to make a profit. What is the percent of increase?
Answers
(21.75-15)/15 = 0.45 * 100
There is a 45% increase
Arthemeatic sequence
Answers
Answer:
14
Step-by-step explanation:
its going down by 11
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
Answers
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
what is 696 39/100 into a decimal
Answers
Answer:
696.39
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: 696 39/100 into a decimal is 696.39
______ an antiques dealer, paid $150 for a painting. She wants to sell the painting for
atleast 25 percent more than what she paid for it. Which of ___________ selling prices are atleast
25 percent more than the price the dealer paid for the painting?
______________ such selling prices
Answers
Answer:
plzzzzz
Step-by-step explanation:
lolzzzz
Answer:
25% of 150 is $37.50
Any dollar amount greater than or equal to $187.50 would be at least a 25% increase
Step-by-step explanation: