Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
Write the following in point-slope form.
Answer:
[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]
Step-by-step explanation:
An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.
For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.
We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.
[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].
Hope this helped!
Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1
Lorena calculated the slope of the linear function that is represented by the table of values as shown.
What did she do wrong?
Answer:
Added wrong -2--4=6
Step-by-step explanation:
because when a nagtive and nagative add up it ends up postive
Answer:
the answer is C i took the test
Step-by-step explanation:
She made a mistake when she subtracted x 1 from x 2
a/4=1 1/2
please answer I need it fast
Answer:
a = 6
Step-by-step explanation:
[tex]\frac{a}{4} =\frac{3}{2} \\a=4\times1.5\\a=6[/tex]what is the answer to the question?
Answer:
17
Step-by-step explanation:
We have two congruent triangles here. Thus, b must be 17.
Answer:
17
Step-by-step explanation:
sides r congruent
Can someone help me with this one
Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days
1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
Jasmine earns $13 per hour tutoring students after school. If Jasmine tutored for 5 hours this month, how much money did she earn this month?
Answer:65
Step-by-step explanation:
13x5=65
Write an equation, please help
Answer:
y = -6/5x + 2
Answer:
5\6x-2
Step-by-step explanation:
Y=(10-6x)\5
Y= 2-6\5x
Slope of line 1 = -6\5
Slope of line 2*(slope of line 1 )= -1
Slope of line 2 *-6\5=-1
Slopes of line 2 = 5\6
(X-x0)m = y-y0
(X-6)*5\6=y-3
5\6x -5 = y-3
Y= 5\6x -2
find the slope from the graph. (3,-1) (0,-3)
help answer this im struggling omg
Answer:
im not quite sure but what i got was 19.9
What is the price of the item after the discount?
Answer:
$1.44
Step-by-step explanation:
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
5. 23
6. 26
7. 20
8. 45
9. 15
10. 120
11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60
12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
Step-by-step explanation:
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.
Their rates is calculated as:
For Lin
Lin read the first 54 pages from a 270-page book in the first 3 days.
54 pages = 3 days
270 pages = x
Cross Multiply
54x = 270 × 3
x = 270 × 3/54
x = 15 days
For Diego
Diego read the first 100 pages from a 320-page book in the first 4 days.
100 pages = 4 days
320 pages = x days
Cross Multiply
100x = 320 × 4
x = 320 × 4/100
x = 12.8 days
For Elena
Elena read the first 160 pages from a 480-page book in the first 5 days.
160 pages = 5 days
480 pages = x days
Cross Multiply
160x = 480 × 5
x = 480 × 5/160
x = 15 days
If they continue to read every day at these rates, who will finish first, second, and third?
Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
What is 360 divided by 12 explain your answer
Answer:
360 divided by 12 is 30 because 12 times 30 is 360
Step-by-step explanation:
Answer:
the answer most likely might be =30
Step-by-step explanation:
360÷12=30
The sum of two numbers is 153. The larger number is twice the smaller number. Find both numbers.
Answer:
The 2 numbers are
102 and 51
Step-by-step explanation:
A + B = 153
A=2B
So 2B+B=153
3B=153
B=153/3=51
A=51*2=102
Given the following function, determine f(6).
Type your answer in the space provided
f(x)
2X-7
Please help I’m dumb
please help me with this question
Answer:
corresponding
Step-by-step explanation:
2 is not in the interior
The only numbers in the interior is 4, 11, 6, and 13
So crossing those two options we are left with corresponding
please answer the second question what does it mean and is it realistic
Answer:
The more staff there is, the lower the wait time. Yes, this is realistic.
Step-by-step explanation:
Find the interior angles of the triangle.
Which kind of angle pair is angle A and the angle
marked 70°?
alternate exterior angles
of each angle?
alternate interior angles
alternate exterior angles
vertical angles
corresponding angles
Answer:
125 is answer
Step-by-step explanation:
angle sum property
180-70
110/2
55
add the 70+55
125
Answer:
125
Step-by-step explanation:
What is the y-intercept of 2y=-3x+18
Answer:
18
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
An architect designs two similar triangular patios. The first patio has angle measures of (x − 10)°, (y + 25)°, and 60°. The second patio has angle measures of (x – 5)°, 55°, and 65°. Find the values of x and y.
Answer:x=65 y=40
Step-by-step explanation:
1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)
2) x should equal 65
3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.
I NEED HELP WITH 2 and 3 HELPPPPPPP
please help i need this done by today
Answer:
B
Step-by-step explanation:
Please help easy ten points.
Answer:
Yes
Step-by-step explanation:
i believe they are all yes.
In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=4.2 in. and CD=9.6 in..
What is the length of AC¯¯¯¯¯?
Answer:
AC = 6.35 in.
Step-by-step explanation:
BC times CD
4.2(9.6) = 40.32
The square root of 40.32 = 6.3498031465550174172038778087342
Round your answer to the nearest hundredth
AC = 6.35 in.
10. In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes
were sliding toward each other and crashed. The crash caused both boxes to change speed. Based
on the information in the diagram, which statement is correct? In your answer, explain what the
forces were like and why the boxes changed speed (5pts)
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.
Answer:
The Box 1 and Box 2 are the same mass.
Explanation:
It caused both to change speed because they have both the same mass.
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
HELP PLEASE!! Function G is a transformation of the parent exponential function. Which STATEMENTS are true about function g.
a.) function g decreasing over the interval
b.) function g is a positive over the interval
c.) function g has a y intercept of(0,4)
d.) function g is 4 units above function f
e.) the domain of function g is x>0
f ) the range of function g is (3,infinity)
Answer:
c. function g has A y intercept of (0,4)
Olivia picked 1,005 blueberries from the Orchard’s bushes. She divided them evenly into 8 baskets. How many are in each basket? How many are left over?