Answer:
∠1=∠88(Vertically Opposite angles are equal)
∠8=∠88(corresponding angles are equal)
∠3=∠88(alternate interior angles are equal
Angles ∠1, ∠3 and ∠8 are equal to 88°.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Angle 1 and 88 are the vertically opposite angle, so they are equal
∠1 = 88°
Angle 1 and angle 3 are corresponding angle, so they are equal
∠1 = ∠3 = 88°
Angle 3 and 8 angle are vertically opposite angle, so they are equal
∠3 =∠8 = 88°
Therefore, ∠1 = ∠3 = ∠8 = 88°
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Larry accumulated $3,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to two decimal places.
Answer:
The amount will be "$3655.21".
Step-by-step explanation:
The given values are:
Principle,
P = $3000
Interest rate,
r = 10% i.e., 0.1
Number of times interest,
n = 4
Time,
t = 2 years
As we know,
⇒ [tex]A=P[1+\frac{r}{n} ]^{tn}[/tex]
On putting the values in the above formula, we get
⇒ [tex]=3000[1+\frac{0.1}{4} ]^{2\times 4}[/tex]
⇒ [tex]=3000[1+0.025]^8[/tex]
⇒ [tex]=3000\times 1.2184[/tex]
⇒ [tex]=3655.21[/tex] ($)
Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary
Answer:
40 degrees
Step-by-step explanation:
360/9=40
The solution is 40°
The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°
What is the sum of an exterior angle of a polygon?
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line
Sum of exterior angles of a polygon = 360°
Measure of each exterior angle = 360° / N
where N is the number of sides
Given data ,
Let the measure of each exterior angle be = A
Let the number of sides of the polygon be = N
Now , the polygon is a nonagon
So , the number of sides N = 9
Now , The sum of exterior angles of a polygon is 360°
So ,
The measure of each exterior angle is given by the equation 360° / N where N is the number of sides
Substitute the value for N in the equation , we get
The measure of each exterior angle = 360°/9
The measure of each exterior angle = 40°
Therefore , the value of A is 40°
Hence , the measure of each exterior angle is 40°
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Somebody plz help me I’m failing
A garden has the dimensions of 5x4 in feet. The gardener wants to expand her garden to 56 square feet. She wants to add the same distance (x) to each side. What is the value of x. Must show work for credit. *
Answer:
2 feet
Step-by-step explanation:
If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.
7 * 6 = 56 square feet
This means that we would be adding 2 feet to each side.
pls help!!!
A diagram using arrows to show how to get from one statement to the next is called a _________.
Step-by-step explanation:
an arrows digram also known as an activity networkchart he
Answer:
auxiliary line
Step-by-step explanation:
1/3 as a number is wat thanks and have a good day aight
Need help will 11&12!
Answer:
11.)60 degrees the lines on the triangle (the lil dashes) mean that that all the sides are equal making all the angles equal as well so all the angles equal 60 degrees.
12.) no, because in order for all the sides to be 12ft the angles have to be 60 degrees and this one is only 58 degrees so it wont exactly reach 12ft
Step-by-step explanation:
hope this helps :P
please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]42 students are going on a field trip. The students are divided into groups of four Students. How many groups of four will there be. If the remaining studentsform a smaller group, and one chaparone is assigned to every group,how many total chaparones are needed
Answer:
Step-by-step explanation:
if we have 42 students which are divided in group of 4 we will have
42/4=10 groups and 2 students left
if we would have a group out of 3 students, we will have 14 groups and 14 chaperones
a group will have 3 students and one chaperone
42 students and 14 chaperones
A birds nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these two positions?
A. 24 In
B. 11 Ft
C. 13 Ft
D. 24 Ft
Answer:
C - thirteen feet
Step-by-step explanation:
12 feet plus 1 foot is 13
distribute -14(-8y-11z) pls !!
Answer:
112y + 154z
Step-by-step explanation:
-14(-8y-11z) = 112y + 154z
Two minus makes one plus.
5. AGHI is an isosceles triangle with a vertex angle H
If the M
Answer:
I can't help I cause u don't have questions to pick from
Plz help I’m getting timed
Answer:
10
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Answer:
10 meters
Step-by-step explanation:
You can count each unit since each unit equals 1 meter
Which part is the y-intercept in this equation? y=3x+9
Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
Write an equation in point-slope form for the line through the given point with the given slope
(8,-3);m= -1/4
Answer: y+3= -1/4(x-8)
Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation
(1/a-1 )+ 2a/1-a^2
Answer
Please show the steps
Answer:
boop boop beep bop
Step-by-step explanation:
Im nice heheh
roight?
plz help i’m not smart
Answer:
C.
Step-by-step explanation:
Answer:
C: For sure
Step-by-step explanation:
How do you do division on your own also I just never learned sorry
Answer: Step 1: D for Divide. How many times will 5 go into 65? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
Step-by-step explanation:
Answer:
its like mutipying backwards so like 12 divided by 6 is 2 or 4 divided by 1 is 4
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
X=2 y=5
2x^0y^-2
Please help
Answer:
2/25
Step-by-step explanation:
what is the difference between 6204 and 5735
Answer:
469
Step-by-step explanation:
Difference = subtraction6,204 - 5,735 = 469I hope this helps!
the difference is 469
Which pattern can we use to factor the expression? (x-1)2+(x-1)+4
Twice a number decreased by eight is sixteen.
solve pls will give brainliest
PLEASE HELP ME FIND YHE SLOPE
20 POINTS HELP ME PLWASW
Answer:
the slope is m=-4/3
Step-by-step explanation:
plz mark brainliest
How do you name a ray?
Answer:
By two points.
In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on its way to infinity. Recall that points are usually labelled with single upper-case (capital) letters
Step-by-step explanation:
Answer:
By two points.
In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on its way to infinity. Recall that points are usually labelled with single upper-case (capital) letters
Step-by-step explanation:
What inequality sign also means "Has a limit of"?
I will mark brainiest
Answer:
greater/less than or equal to sign
Step-by-step explanation:
Answer: ⩽
Step-by-step explanation:
This inequality symbol means "at most"
hope this helps :)
HELP ASAP
Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.
Table:
x f(x)
1 18
2 38
3 60
4 78
5 93
6 117
7 143
Which polynomial function best models the data?
A) f(x)=0.4048x^2+16.9762x+2.1429
B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571
C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429
D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143
The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Daniel keeps track of the number of vehicles that go through the drive-thru each hour
Let the number of hours be x
Let the total number of vehicles that passes be y
Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }
The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }
Let the polynomial equation be represented as f ( x )
Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where
f ( x ) = 0.4048x² + 16.9762x + 2.1429
when x = 3
f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429
On simplifying , we get
f ( 1 ) = 3.6432 + 50.9286 + 2.1429
f ( 1 ) ≈ 60
Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429
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A jewelry store buys a gold watch sell.
The price of the watch is marked up 45%
The store sells the watch for $2,610.00.
How much did the jewelry store pay for the watch?
Answer:
-2565
Step-by-step explanation:
because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah
Solve the proportion:
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
cross multiply
9*10=90
90/6=15