Answer:
D
Step-by-step explanation:
In file
Answer:
D. x = 10, m<TRS = 60
Step-by-step explanation:
1. Approach
To solve this problem, one will set up an equation to model the problem. The problem gives that the sum of two angles (m<QRT and m<TRS) equals the third angle (m<QRS). Additionally, the measure of one of the angles is given (m<QRS = 122), and the expression for the values of the other two angles are given, (m<QRT = 7x - 8), (m<TRS = 6x). One can form an equation, and solve it to find the unknown. Finally, one can then substitute the values of the unknown, into the expression to find the measure of the angle.
2. Solve for (x)
One can set up an equation based on the given information, then solve the equation.
m<QRT + m<TRS = m<QRS
Substitute,
(7x - 8) + (6x) = 122
Simplify
7x - 8 + 6x = 122
13x - 8 = 122
Inverse operations
13x - 8 = 122
+8 +8
13x = 130
/13 /13
x = 10
3. Find (m<TRS)
Now that one has the value of (x), one can substitute the value into the given expression for the (m<TRS), and solve to find the value.
m<TRS = 6x
x = 10
m<TRS = 6(10)
m<TRS = 60
If a client invests $4,000 in a money market account and does not deposit or withdraw any money for the next 30 years, how much money will be in the account at the end of that 30 years?
A)$4,072.49
B)$6,831.14
C)$6,855.72
D)$7,0189.23
Answer:
$6855.72 is the correct answer
Answer:
1.8%
Step-by-step explanation:(1.005[tex](1.005^4)t1.018^t 1+r=1,018 r=0.018[/tex])^t
2.
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.
A. –3; value drops $3 every year.
B. –1; value drops $1 every year.
C. [tex]-\frac{100}{3}[/tex]; value drops $100 every 3 years.
D. –100; value drops $100 every year.
Answer:
you take 2 points on the graph
(3,300) and (6,200)
and then you do y2 -y1
x2-x1
you plug in the values
200-300
6-3 = -(100)/(3)
every 3 years the resale of a refrigerator decreases by 100 dollars.
its basically the rate that the price goes down for resale value of a refrigerator
Step-by-step explanation:
Let's take the points displayed on this graph:
(300, 3) (200, 6) and (100, 9).
Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.
3 years after original purchase: $300
Increase years by three, value goes down by $100
6 years after original purchase: $200
The rate of change in this situation means that for every resale three years after the original purchase, the value will decrease by $100.
10 Rotate the point (7, 8) around the origin 90 degrees. State the image of the
point.
A (-7, -8)
B (8, -7)
C (-8,7)
D (8,7)
Answer:
(-8, 7)
Step-by-step explanation:
for 90 degree rotations u switch the numbers and make the first number opposite
Answer:c
Step-by-step explanation:
-8,7
what is the answer to : classify <1 and <7
Given:
A figure.
To find:
The classification for angle 1 and angle 7.
Solution:
From the given figure, it is clear that a transversal line intersect two parallel lines and forms 8 angles, 4 angles on each intersection.
In the figure, angle 1 and angle 7 are on opposite sides of the transversal line and outer side of each of those two parallel lines.
Therefore, angle 1 and angle 7 are alternate exterior angles.
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Find the radius of the circle given by the equation (x – 5)2 + (y - 3)2 = 225.
Answer:
The radius is 15
Step-by-step explanation:
In the equation, 225 is a square of a radius, so the radius itself is the square root of 225, which is 15.
Answer: the radius is 15
Step-by-step explanation:
what's an equivalent equation for -5(3-2x)
Answer:
-15 + 10x
or
10x - 15
(either one works)
Step-by-step explanation:
You mean you just want me to expand it?
Ok.
Multiply -5 by 3 and -2x.
(-5)(3) = -15
(-5)(-2x) = +10x
Add those together:
-15 + 10x
or
10x - 15
Work out this please in standard form
Determine if the triangles are congruent. If they are, state why.
Darunt by SA
ITS DUE AT 5PM PLEASE I NEED TO GET IT DONE WAY BEFORE. HELP!!
joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
On Monday, snow fell at a rate of 2.8 inches per hour.
Write an equation to show the relationship between the number of hours, h, and Monday's total snowfall, s.
Answer:
s = 2.8h
Step-by-step explanation:
Answer:
s = 2.8h
Step-by-step explanation:
2.8 inches of snow : 1 hour
Total snowfall = 2.8 × number of hours
2.8 × h = s
2.8h = s
which figure could be the result of dilation the trapezoid with a scale factor between 0 and 1
Answer:
1
Step-by-step explanation:
Janet has 10 pairs of specialty socks, each pair in a different color. Suppose she randomly picks two out of the drawer without looking, what is the probability that the two socks are a matching pair?
Answer:
1/10
Step-by-step explanation:
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
Hope this helps have a bless day❤️Step-by-step explanation:
Answer:
Step-by-step explanation:
I think you had a typo where interest should be 460 not 46 because even if the whole 6000 were invested at 7% he would have earned $420 in interest. Also if total investment was switched from 6000 to 600 the 46 in interest would work.
.07x+.08(6000-x)=460
.07x-.08x+480=460
-.01x+480=460
-.01x=-20
x=$2000
which is easy enough to check
2000(.07)+4000(.08)=$460
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!
2.
A rectangular box is 60 cm long and 45 cm wide. Can
an umbrella that is 68 cm long fit inside of the box?
Answer:
well yes if the back sticks out or if its turned like a x / it can go inside
Step-by-step explanation:
True or False: (2,3) is a solution for both of the following equations:
y=2x+1 and y-3x=4
The volume of a rectangular prism is 72 cubic units. If the length of the prism is 6 units, What might the width and height be? how many solution are there?
Explain your answer
Answer:
anything that adds up to twelve like 3 x 4 or 6 x 2 or 12 x 1 so three answers
The plane continued to descend, but leveled off to an angle of descent of 3° degrees for approximately 2 miles. How many feet did they drop in altitude (d)? Round to the nearest 10th.
(3x + 3) (2x − 2)
Please help me
A sign in a bakery gives these options:
12 muffins for $25
24 muffins for $46
50 muffins for $94
Find each unit price to the nearest cent.
Option 1: $
Option 2: $
Option 3: $
Answer:
1. $0.48
2. $0.52
3. $0.53
Step-by-step explanation:
12/ $25
24/$46
50/$94
hope this helps
If a^2- b^2 = 648 and (a - b) = 24. What is the value
of (a+b)?
5^4 = 5 x 5 x 5 = what is the value of 5^4
Answer:
625?
Step-by-step explanation:
Answer:
625 is the value of 5×5×5×5 or 5^4
Help plz and don’t spam for points
Look I tried ok???? Sorry... =_=
Write the ratio of the first measurement to the second
measurement. Compare in inches.
5 feet to 49 inches
Answer:
60:49
Step-by-step explanation:
1ft = 12in
5 x 12 = 60
60:49
They share no common factors so this is your final answer.
Stacy's Checking Account
This month, Stacy deposits 4 paychecks, each one for $175.
She makes 2 utility payments for $60 each.
She makes another payment for $80.
1 point
DO NOT TYPE IN THE $. It is already included.
Kevin deposits a total of $ type youryanswer...
what is the y-intercept of the following function?
Y=2(4/3)x
A.X
B.2
C.3
D.4
Answer:
C.
Step-by-step explanation:
Answer: A) x axis
Step-by-step explanation:
goes through the origin
I need this fast!! Sam scores 4 goals per game. What is the rate unit of this rate?
A. games
B. goals per game
C. 4
D. goals
Answer:
B: goals per game
Step-by-step explanation:
She will atleast score 4 goals per game
For what value of x is the rational expression below equal to zero?
X-4
(x+5)(x-1)
A. 4
B. -5
O
O
C. 1
O D.-4
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{4}.}}[/tex]
Step-by-step explanation:
For complete solution kindly refer to the attachment .