Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
Answer:
The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.
First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.
Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.
Finally, we know <2 is equal to <7 because of the transitive property.
Answer:
Here's the sample response!!
Step-by-step explanation:
Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.
All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.
The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.
The regular price = $45
The discount is worth = 40% of 45
= (40×45)/100
= $18
Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ1
sisktzkyzktRkzkKKRpyxdypzoyzitzotkg
Which of the following pairs of functions are inverses of each other?
Answer:
The answer is (B).
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]
g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3
B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]
g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)
Question 1 of 60
Find an underestimate for 32 x 67 by adjusting each factor down to the next
ten.
A. 2800
B. 2100
C. 1800
D. 2400
Answer:
2100
Step-by-step explanation:
30 x 70 = 2100
32 rounds to 30. 67 rounds to 70.
Answer:
[tex]2100[/tex]
Step-by-step explanation:
Estimate:
Change numbers 32 and 67 to the next factor:
[tex]30 and 70[/tex]
Multiply together:
[tex]2100[/tex]
So your answer is B:
[tex]2100[/tex]
helpppppp pleaseeeee
Answer:
A: 24
B: 40.04
Step-by-step explanation:
A=L*W
8*3=24
5.2*7.7=40.04
HELP FAST ITS AN IMAGE
Answer:
3
Step-by-step explanation:
Five less than the area of a square is 59 square feet. Find the side length of the square.
Answer:
4 feet
Step-by-step explanation:
Let the side length of the square be x feet.
x^2 - 5 = 59
x^2 = 64
x = ±4 (reject - 4 since length > 0)
Topic: Areas of polygons
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
5 = 5/8x + 1/2x - 4 with work please :) its due in a couple minutes
Answer:
5/8x+1/2x-4=5
or, 5(2x-4)+8x= 5
or, 10x- 20+8x=5
or, 10x-8x= 20+5
or, 2x= 25
or,x= 25/2
:.x= 25/2
Step-by-step explanation:
first we have to make denominator then we can criss cross multiply. we can make in same point .if there is plus we can subtract and if there is front minus if we take it back it must be plus. then we can put same point then we can divide
Solve 7b = 91
Please answer
Answer:
13
Step-by-step explanation:
Divide both sides by 7 so the multiplication cancels out.
Answer:
To get b you’ll have to divide 91 by 7
b=91/7
b=13
Step-by-step explanation:
I hope it helped you, please give me brainliest
Find the value of x
x = 10.4 (1dp)
Step-by-step explanation:
Using Pythagoras' theorem, a^2 = b^2 + c^2 where a is the hypotinues; b and c is the two sides
a^2 = b^2 + c^2
12^2 = 6^2 + x^2
144 = 36 + x^2
x^2 = 144 - 36
x^2 = 108
x = _/108
x = 10.4 (1dp)
PLEASE HELP WHO KNOWS THIS?
Answer:
I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5
Step-by-step explanation:
Let the function f be defined by f(x) = 12 -5x
4. Is it true that f(0) = 0?
5. Explain why or why not?
ILL MARK YOU BRAINLIEST if you answer xx
Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?
Answer:
Step-by-step explanation:
4000*1/10= $400
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol
Answer:
1. A
2. B
3. A
4. B
5. A
Step-by-step explanation:
Edge 2022
Answer:
A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not changeExplanation: Correct on Edg 2020.
Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05. If you drew one card from a standard deck, would it be "unusual" to draw a 6?
Answer:
No it's not unusual
Step-by-step explanation:
That's an unusual definition for unusual if you don't mind me saying so.
There are 4 sixes in a standard deck of cards without the jokers. There are 52 cards in that deck
4/52 = 0.077
This is greater than 0.05 so it is not unusual.
Let's add the 2 jokers and see what happens.
4/54 = 0.074
That's still not going to get the situation defined as unusual.
at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2
Answer:
Step-by-step explanation:
2/5, 19/20) and (1/3, 11/12) in slope-intercept form? ... B. y = 1/2x + 3/4 ... D. y = 3/4x + 1/2 ... [tex]3}^{2}x = \frac{1}{?27} [/tex]find x.
Are 12:14 and 60:70 equivalent ratios?
yes
no
Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
Write the equation in slope-intercept form.
- 4x – 10y = -7
Answer:
The answer will be in the form y=mx+b
y= - [tex]\frac{2}{5}[/tex] x + [tex]\frac{7}{10}[/tex]
Brainliest please
The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
The equation of -4x - 10y = -7 in slope-intercept form is
y = (-2/5)x + (-7/10)
What is slope intercept form?The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
The equation of a line in slope intercept form is given by:
y = mx + c
m = slope
c = y-intercept
We have,
-4x - 10y = -7
Add 4x on both sides.
-4x - 10y + 4x = 7 + 4x
-10y = 7 + 4x
Multiply -1/10 on both sides.
y = -1/10 ( 7 + 4x )
y = -7/10 - (4/10)x
y = (-2/5)x + (-7/10)
Thus the equation of -4x - 10y = -7 in slope-intercept form is
y = (-2/5)x + (-7/10)
Learn more about the equation of a line here:
https://brainly.com/question/21298390
#SPJ2
Use the power property to rewrite log3x9.
Answer:
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]\log _3\:x^9[/tex]
now rewriting the expression
[tex]\log _3\:x^9[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=9\log _3\left(x\right)[/tex]
Therefore,
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Answer:
B
Step-by-step explanation:
edge
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Input the equation of the given line.
The line including (4, 7) and (0, 7).
Answer:
[tex]y=7[/tex]
Step-by-step explanation:
First, let's use the two given points to find the slope. Remember the slope equation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{7-7}{0-4}[/tex]
[tex]m=\frac{0}{-4}[/tex]
[tex]m=0[/tex]
If we're following slope-intercept form, what we have so far is
[tex]y=0x+b[/tex]
Substitute one of the given points for the [tex]x[/tex] and [tex]y[/tex] values in order to find [tex]b[/tex]:
[tex]7=0(4)+b[/tex]
[tex]7=b[/tex]
Now, if we put that back into our slope-intercept equation we get
[tex]y=0x+7[/tex]
or,
[tex]y=7[/tex]
Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.
I hope this helps!
Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}
Answer:
−2 ∉ {−6,−3,−5,−1}
Step-by-step explanation:
Given
Set = {−6,−3,−5,−1}
Element = -2
Required
The interpretation of the question is to state if -2 is an element of the given set or not
The first thing to do is to check through the set to count the number of occurrence of -2
Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0
This implies that -2 is not an element of the given set and this is represented by the symbol ∉
Hence:
−2 ∉ {−6,−3,−5,−1}
3x+14=2(2x-3), steps to solve
Answer:
20
Step-by-step explanation:
3x+14=2(2x-3)
3x+14=4x-6
3x-4x=-6-14
-x=-20
X=20
So the valueof X is 20
HELP ME PLEASEE ASAPAPAP PLEASE PLEASE PLEASE PLEASE!!!!!!!!!!!
Answer: AEC = 80
X=30
YW ;)
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
Answer: Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
The options are:
a. Very likely; recurring debt is less than what is allowed.
b. Somewhat likely; recurring debt is equal to what is allowed.
c. Not likely; recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
Annual salary = $37,580
Car loan payment annually = $265 × 12 = $3180
Annual student loan= $120 × 12 = $1440
Annual loan payment will be:
= $3180 + $1440
= $4620
Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.
Answer:
c. Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
got it right
explain BRAINLIEST PLZ HELP!!!!100. Given B(-4,-6), under which reflections is B'(4,6)?
a. reflected in the x-axis
b. reflected in the origin
c. reflected in the y-axis
d. reflected in the line y=x
Under b. reflected in the origin B(-4, -6) would be B'(4, 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Point B(-4, - 6) is given lies on the third quadrant.
Now, If we reflect along y = x it would be (- 6, - 4).
But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).
learn more about transformations here :
https://brainly.com/question/20954335
#SPJ1
please help me!!!!!!!!!!
Answer:
HFHBEHFBHEHHEHHHHH
Step-by-step explanation:
Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)
Answer:
Answer by Yi Jing
Step-by-step explanation:
Twice a number x minus 18
Step-by-step explanation:
Here is the answer...
Hope this helps you
What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, and divided by 3 leaves a remainder of 2?
Answer:
59
Step-by-step explanation:
If a number is divided by [tex]n[/tex] and leaves a remainder [tex](n-1)[/tex], then the number [tex](n+1)[/tex] will be completely divisible by [tex]n[/tex].
Therefore, when we say a number [tex]x[/tex], when divided by 6, it leaves a remainder 5, then ([tex]x+1[/tex]) will be a multiple of 6.
When we say a number [tex]x[/tex], when divided by 5, it leaves a remainder 4, then ([tex]x+1[/tex]) will be a multiple of 5.
When we say a number [tex]x[/tex], when divided by 4, it leaves a remainder 3, then ([tex]x+1[/tex]) will be a multiple of 4.
When we say a number [tex]x[/tex], when divided by 3, it leaves a remainder 2, then ([tex]x+1[/tex]) will be a multiple of 3.
So, [tex]x+1[/tex] is a common multiple of 3, 4, 5 and 6.
Taking LCM of 3, 4, 5 and 6, we get 60.
So, the number 60 - 1 = 59 is the least such number.