Given :
△AFB≅△DECSince triangle AFB is congruent to triangle DEC their corresponding parts will be equal.
Which means :
m∠AFB = 37°m∠ABF = 90°Sum of all angles of a triangle = 180°
Measure of ∠CDE :
[tex] = \tt180 - 37 + 90[/tex]
[tex] = \tt180 - 127[/tex]
[tex] = \tt53[/tex]
Thus, the measure of angle CDE = 53°Then, the measure of angle BAF = 53°Therefore, m∠A = 53°
My answer :[tex]\hookrightarrow\boxed{\color{plum}\bold {\tt \: \bold{m∠A = 53°}}}[/tex]
If you were to deposit $1,000 into an account that paid 10 percent interest compounded semiannually, how much money would you have in the account one year from now?
If you averaged 400 miles per day, about how many days would a trip of 1990 miles take?
Answer:
4 days
Step-by-step explanation:
you would divide 1990 by 400 to get the answer.
PLS HELP Does the following table of values represent an exponential function?
2(2x+2) ????????????????????????
Answer:
4x+4
Step-by-step explanation:
2(2x+2)
Distribute the first 2 to each term inside the parentheses
2 * 2x + 2 *2
4x+4
Answer:4x+4
Step-by-step explanation:
Multiply the numbers in the parentheses by 2
2 times 2x=2x+2x=4x
2 times 2=4
So....4x+4 is the answer
what is the relationship between a magnets magnetic force and magnetic field?
Answer: They both use a magnetic pull?
Step-by-step explanation:
P + 1/4 (is greater than or equal to) 2
Answer:
P + 1/4 (is greater than or equal to) 2
p<or =2-1/4=7/4
suppose you have 8 pairs of pants, 8 shirts and 7 pairs of shoes how many different outfits can you wear assuming you take one of each?
Answer:
Step-by-step explanation:
8(8)7=448 different outfit combinations
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=101 and σ=24. (a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ? (note: please enter your answer in decimal form. for example, 45.23% should be entered as 0.4523.)
Answer:
a) 0.7734
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 101, \sigma = 24[/tex]
(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{83 - 101}{24}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734
Suppose there is an excess demand for cell phones. In a market without price controls market pressures will cause the price of cell phones to ____ until it reaches the equilibrium price
Answer:
Step-by-step explanation:
rise/increase/grow
Answer:
Step-by-step explanation:
The key word is increase.
People who don't have a cell phone will bid the price up until some of the people wanting a cell drop out of the bidding. Then only those willing to pay a higher price will be left to buy the cell at a much higher price than was initially thought to be the right price.
Phew. Try reading that sentence a couple of times. It's right, but there should be an easier way to say it.
A horse has a water barrel in which 3/10 of a gallon is drank out of it every day. How many days will it take the horse to drink 42 gallons of water?
Answer:
140 days
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.
How many yards does she have total?
Answer:
7 1/2
Step-by-step explanation:
i belive so my brain hurts so much but i can pull through
ASAP BE||CD. Find the value of x and AC.
I don’t understand
2 1/8x+3/4x+1/6-7/12x+5 2/3
Answer:
5/24(11x+28)
Step-by-step explanation:
Micah jogged 8/10 of a mile. Sarah jogged 3 times this distance. How far did Sarah jog? Explain
Answer:
2.4 miles or 12/5 miles
Step-by-step explanation:
well if we take the amount Micah jogged (8/10 miles) and we multiply that by 3 in order to get Sarah's distance
it leaves us with
24/10 and that simplified will be
12/5 miles
in decimals that would be
2.4 miles
Eight bricks are laid end to end along the edge of a flower bed. Each brick is inches long. How long is the row of bricks, in inches?
Eight bricks are laid end to end along the edge of a flower bed.
Each brick is 11/2 inches long. How long is the row of bricks, in inches?
11/2 inches
A average row of bricks is 7-1/2 inches
11/2 x 7-1/2 = 38
38 inches
Answer:
1.5 times 8 equals 12. The row of bricks is 12 inches long
An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.
Answer:
$7700
Step-by-step explanation:
As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700
$5000 initial + $2700 interest = $7700
EDIT:
It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.
6% interest is $300 per year
$300÷12= $25 per month
$25 x 9 months = $225
$5000 initial plus $225 interest = $5225 total
What is the present value of an investment that will be worth $6000 at the end of five years? Assume an APR of 6% compounded monthly. (Round your answers to the nearest cent.)
Answer:
4448.23
Step-by-step explanation:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\\\6000=PV(1+\frac{.06}{12})^{5*12}\\\\6000=PV*1.3488\\\\PV= 4448.23[/tex]
The present value of an investment that will be worth $6000 at the end of five years is, $4448.23
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Annual value = $6,000
Time = 5 years
Rate = 6%
Hence, We get;
A = P (1 + r/n)ⁿˣ
Substitute all the values, we get;
⇒ 6000 = P (1 + 0.6/12)⁶⁰
⇒ 6000 = P × 1.3488
⇒ P = $4448.23
Thus, The present value of an investment that will be worth $6000 at the end of five years is, $4448.23
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
What is 9/10 x 12/6=
Answer:
1.8
hope this is right
I need help plz due in 20 min
Answer:
No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8
Step-by-step explanation:
convert 3.9/4 into decimals
Answer:
.975
Step-by-step explanation:
500 is what percent of 125?
Answer:
400
Step-by-step explanation:
Solution for 500 is what percent of 125:
500:125*100 =
(500*100):125 =
50000:125 = 400
Now we have: 500 is what percent of 125 = 400
Question: 500 is what percent of 125?
Percentage solution with steps:
Step 1: We make the assumption that 125 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]x%[/tex].
Step 3: From step 1, it follows that $100%=125$.
Step 4: In the same vein, $x%=500$.
Step 5: This gives us a pair of simple equations:
100%=125(1)
x%=500(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
[tex]\frac{100\%}{x\%}=\frac{125}{500}[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{500}{125}[/tex]
[tex]\Rightarrow x=400\%[/tex]
Therefore, 500 is 400% of 125
Hope this answer helps and answers your question! Have a great day/night!
help me with this please it's important pleaseeeeeeeeeeeeeeeeee frindes
Answer:
27-64
Step-by-step explanation:
cheating in tests are bad, searching for answers in tests is also bad
but the range is 27-64
A football player completes a pass 67.9% of the time.Find the probability that the first pass he completes is the second pass.
Answer:
0.2587 = 25.87% probability that the first pass he completes is the second pass.
Step-by-step explanation:
Probability that the first pass he completes is the second pass.
Misses the first, with a 100 - 67.9 = 38.1% = 0.381 probability.
Completes the second, with 0.679 probability. So
0.381*0.679 = 0.2587
0.2587 = 25.87% probability that the first pass he completes is the second pass.
Carlos and Lily want to know the combined amount of money they made last week.
They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the
combined amount is 12C + 35 + 121, where is the number of hours he worked,
and L is the number of hours Lily worked. Lily says the combined amount is
12(C + L) + 35. Who is right? Explain.
Answer:
Lily: 12(C + L) + 35
Step-by-step explanation:
Variables: C (Carlos) and L (Lily)
They both get: $12 for the hours they worked
We do not know how long they worked
We do know Carlos got an extra $35.
What does it mean?
12(C + L)+35
12 times the profit of Carlos and Lily. Plus the bonus of Carlos
What is 4 + 200039393939
Answer:
200039393943
Step-by-step explanation:
Use a calculator (;
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $2500 for their reception. If the reception hall charges a $80 clean up fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.
The area of a bathroom floor measures 6 feet by 9 feet and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?
pls help me
Answer:
Around 9.8 tiles
Step-by-step explanation:
The formula is x = (6*9)/5.5.
A sum of money was divided bety
Mary and Dónal. Mary got of 5/8
he money and Dónal got the res
Dónal got €2:40, how much did Mary get
Answer:
4.00
Step-by-step explanation:
each one of the eights is 80 cents. the way to figure it out was to just divide it by 3 or in a different place however many fractions you have/need.
In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?
What is the solution of the system of equations shown on the graph?
176
12
O (5, -1)
o (-4,-3)
O (3,-4)
o (-4,3)
Answer: 3, -4
Step-by-step explanation: gust look harder