Answers
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
Related Questions
A circle has a diameter of 8 cm. What is its circumference?
Use 3.14 for a, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
c=3.14d
c=3.14*8
c=25.12
25.12 cm
What is the solution to the following system of equations?
2x + y = 0
x + 2y = 3
Group of answer choices
(0, 0)
(-1, 2)
(2, -4)
(-5, 4)
Answers
Steps:
Solve by elimination
Multiply the first equation by 2 to make the coefficients of x in both equations the same
2(x+2y=3)
2x+4y=6
Then line them up and subtract
2x+y=0
-2x+4y=6
= -3y=-6
Divide both sides by -3 to isolate y
y=2
Then substitute 2 for y into one of the equations to find x.
x+2(2)=3
x+4=3
x=-1
A chef uses 1/2 cup of cheese for a small pizza. There are 6 grams of fat in 1/4 cup of cheese.
Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Drag one expression next to each question. The correct expression for each row is a way to answer that question. PLZZ help!!
Answers
Answer:
The correct options are;
1) How many grams of fat are in 1/2 cup of cheese = [tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]
2) How many cups of cheese will the chef need to make 13 small pizzas = [tex]\dfrac{1}{2} \cdot 13[/tex]
3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;
[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]
Step-by-step explanation:
1) How many grams of fat are in 1/2 cup of cheese
The number of grams of fat per 1/4 cup of cheese = 6 grams
Therefore;
The number of grams of fat per kilogram of cheese = 6/(1/4)
The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;
[tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]
2) How many cups of cheese will the chef need to make 13 small pizzas
The number of cups of cheese per small pizza = 1/2 cup of cheese
Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;
[tex]\dfrac{1}{2} \cdot 13[/tex]
3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;
Given that 1/2 cup of cheese can make one small pizza
(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza
3/4 cup of cheese can make 3/4 × 1/(1/2) = (3/4)/(1/2) small pizza, which can be written as follows;
[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]
Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?
A) 6750
B) 3415
C) 5500
D) $4250
Answers
Answer:
D; $4,250
Step-by-step explanation:
Here, we want to know the amount that was invested in the 5% account
We proceed as follows;
Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b
We have it that the total investment amount is $11,000
Mathematically, since total is 11,000; we can add a and b to give this
a + b = 11,000 •••••••••(i)
Now, let us work with the interests
Interest earned will be;
Percentage of interest * Amount invested
For the 5% interest account, the interest earned will be;
5/100 * a = 5a/100 = 0.05a
For the 8% interest account , the interest earned will be;
8/100 * b = 0.08b
By adding the interests on both account, we can get the total amount of interest earned
We can have this as;
0.05a + 0.08b = 752.50 •••••(ii)
From equation i above;
b = 11,000 - a
Substitute this into ii
0.05a + 0.08(11,000-a) = 752.5
0.05a+ 880 - 0.08a = 752.5
0.08a-0.05a = 880-752.5
0.03a = 127.5
a = 127.5/0.03
a = $4,250
Last year, David opened an investment account with $6600. At the end of the year, the amount in the account had
Increased by 27.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answers
Answer:1815 euros left
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THIS IXL ITS P.7 EIGHTH GRADE!!!!
Answers
I’ll mark brainlist whoever gives the right answer!
Answers
Answer:
y=-2/3x+2/3 i think... :)
Step-by-step explanation:
y=mx+b
-4=-2/3(-7)+b
-4=14/3+b
b=2/3
y=-2/3x+2/3
HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)
Answers
9514 1404 393
Answer:
8 3/4 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:
(10.5 h)/1.2 = 8.75 h
It will take 8.75 hours at the increased speed.
Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2
Answers
Answer:C 2
Step-by-step explanation:
Which expression is equal to
-18b^-4
Answers
Answer:
[tex] - \frac{18}{ {b}^{4} } [/tex]
Step-by-step explanation:
[tex] - 18b {}^{ - 4} [/tex]
express b^-4 with a positive exponent using:
[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]
[tex] - 18 \frac{1}{ {b}^{4} } [/tex]
[tex] - \frac{18}{ {b}^{4} } [/tex]
pls help i need to get a good grade on this final so I can get my pc Best awnser gets brainliest
Answers
Answer:
d
Step-by-step explanation:
hope this helps
$2,300 invested at 7.5% for 10 years. In simple interest
Answers
Answer:
here's the answers............
what is the correct answer to 4x1 3/8
Answers
Answer:
3/2
Step-by-step explanation:
That's the answer mark me brainliest Please
Answer:
Step-by-step explanation:
4*1 3/8=
4/1 * 11/8=
11/2 or 5 1/2
can someone help me understand this
Answers
Answer:
The answer for the question is E.
pls help this is due today!!! if correct I'll make Brainliest!!!!
Answers
1= 1/8
2= 4/8
3= 2/8
Step-by-step explanation:
Simplify this equation:
-4(c+2d)-2(3c-4d)
Answers
hope this helped !!!
Answer:
-10c
Step-by-step explanation:
-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)
Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.
(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d
Evaluate like terms.
-4c-8d-6c+8d = -10c
Can anybody answer these 2 please hurry
Answers
Answer:
the first one is b= 52
the second one is b= 63
The Micro Devices Company earned 3,632,859,678 dollars this year. 2,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?
Answers
Answer:
$1,173,226,826
Step-by-step explanation:
The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:
increase in earnings=this year's earnings-last year's earnings
this year's earnings=$3,632,859,678
last year's earnings=$2,459,632,852
increase in earnings=$3,632,859,678-$2,459,632,852
increase in earnings=$ 1,173,226,826
How many solutions does the system have?
2x+3y=−6
3x−4y=−12
Answers
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The ratios of x- and y-coefficients are different, so the lines have different slopes. Lines with different slopes intersect at exactly one point. That point is the solution to the system of equations.
There is exactly one solution.
Give me 2 exponents that equal to 8 :)
Answers
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?
Answers
Answer:
2 positive unit tiles is needed
Step-by-step explanation:
Given the expression x^2 – 3x – 10, the partial factorization is as shown;
x^2 – 3x – 10
= x^2 +2x – 5x – 10
= x(x+2)-5(x+2)
= (x-5)(x+2)
Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)
From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization
Answer:
B i think
Step-by-step explanation:
PLEASE ANSWER FAST I NEED HELPPP
Answers
I hoped this helped!! ^w^
6th grade math i mark as brainliest
Answers
Answer:
9. 30/6
10. 7.6 and u
Step-by-step explanation:
Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.
How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?
Answers
Answer:
78 minutes
Step-by-step explanation:
72/12=6
6*13=78
PLZ HELP ANSWER ONLY LAST QUESTION PLEASE!
Answers
Solve and describe the graph of the inequality: j + 16 ≥ -21
Answers
Answer:
j ≥ -37
Step-by-step explanation:
j + 16 ≥ -21
move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract)
j ≥ -37
The graph would be a closed circle on -37 with an arrow pointing to the right.
To solve and describe the graph.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.
Given that:
The inequality is
j + 16 ≥ -21
Move constant to the right hand side and change its sign
j ≥ -21 - 16
calculate the difference (subtract) the constant term
j ≥ -37
So, the graph would be a closed circle on -37 with an arrow pointing to the right.
Learn more about inequality here:
https://brainly.com/question/19846294
#SPJ5
is -4x-8=4x+8 one solution no solution or many solutions
Answers
-8x=-16
x=-2
Answer:
One solution.
Step-by-step explanation:
This question has different coefficients so it has one solution.
Help me with this plz
Answers
Answer:
0.000032, 0.0000064
Step-by-step explanation:
Each is divided by 5
0.00032 and 0.00064
Step-by-step explanation:Think, each is divided by 5!
0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.
Posted By:
ehie, BenjiDev#3339
Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=2−8+7 where is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.
Answers
Answer:
The number of feet she will travel back is 1 or 7 feet
Step-by-step explanation:
Here, we need to solve the quadratic equation
That will be as follows;
0 = x^2 -8x + 7
x^2-x-7x+ 7 = 0
x(x-1)-7(x-1) = 0
(x-1)(x-7) = 0
x = 1 or 7
The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet
Plz help. Will give brainliest
Answers
Answer:
17.1
Step-by-step explanation:
Answer 17. 1
Step-by-step explanation: