Answer:
m∠2 = 103°
Step-by-step explanation:
Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180.
Answer:
Step-by-step explanation:
The sum of two supplementary angles sum up to 180°
Hence <1+<2 = 180°
Given
<1 = 77
Substitute and get <2
<1+<2 = 180
77+<2 = 180
<2 =180-77
<2 = 103°
Hence the measure of <2 is 103°
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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}
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.
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
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)
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.
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:
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q(x)=2 −2+? please solve this huhu
Answer:
I mean it would just be q(x) = 0
Step-by-step explanation:
Answer: q=0
Step-by-step explanation: Let's solve for q.
qx=2−2
Step 1: Divide both sides by x.
qx
x
=
0
x
q=0
Answer:
q=0
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!
HELP ME PLEASEE ASAPAPAP PLEASE PLEASE PLEASE PLEASE!!!!!!!!!!!
Answer: AEC = 80
X=30
YW ;)
si me dan 200 pesos a la semana y quiero comprar algo de 15000 pesos cuantas semanas tengo que ahorrar
Answer:
75 semanas
Step-by-step explanation:
15,000 = 200s
15,000/200 = s
75 = s
What is the approximate area of the triangle below?
Answer:
3
Step-by-step explanation:
1+1=2
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.
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used
Answer:
a) $141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b) $244.4
Step-by-step explanation:
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
If a customer uses 330 minutes, the monthly cost will be $141.5.
y = mx + b
$141.5 = 330m + b
If the customer uses 890 minutes, the monthly cost will be $337.5.
$337.5 = 890m + b
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b. Use your equation to find the total monthly cost if 624 minutes are used
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
We Subtract Equation 2 from 1
-196 = -560m
m = -196/-560
m = 0.35
$337.5 = 890m + b..... Equation 2
$337.5 = 890 × 0.35 + b
$337.5 - 311.5 = b
b = 26
When x = 624
y = 624× m + b
m = 0.35 , b = 26
y = 624 × 0.35 + 26
y = 218.4 + 26
y = $ 244.4
5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 40% off. Is this equal to a discount? Explain your answer.
The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
The total percent of reduction 10+40= 50%
This is equal to a discount on the sales price
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.
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:
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)
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.
Twice a number x minus 18
Step-by-step explanation:
Here is the answer...
Hope this helps you
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
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
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
please help me!!!!!!!!!!
Answer:
HFHBEHFBHEHHEHHHHH
Step-by-step explanation:
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 :
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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:
Is the relation {(2,5), (0, -5), (-2, 6), (2, 3)} a function?
Answer:
Not a function
Step-by-step explanation:
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
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