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]
convert 3.9/4 into decimals
Answer:
.975
Step-by-step explanation:
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
What is 4 + 200039393939
Answer:
200039393943
Step-by-step explanation:
Use a calculator (;
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
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:
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.
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!
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:
What is 9/10 x 12/6=
Answer:
1.8
hope this is right
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.
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.
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.
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.
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
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
ASAP BE||CD. Find the value of x and AC.
I don’t understand
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
PLS HELP Does the following table of values represent an exponential function?
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.
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
what is the relationship between a magnets magnetic force and magnetic field?
Answer: They both use a magnetic pull?
Step-by-step explanation:
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?
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?
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
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
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
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
2 1/8x+3/4x+1/6-7/12x+5 2/3
Answer:
5/24(11x+28)
Step-by-step explanation:
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