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
HELP! WILL MARK BRAINLIEST
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Answer:
it is b
Step-by-step explanation:
I NEEP HELP ASAP PLEASE AND THANK YOU
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Answer:
The first answer, 3 times the square root of x squared is correct.
what is 5/8 divided by 4
Answers
Answer:
0.156
Step-by-step explanation:
Answer:
5/32
Step-by-step explanation:
[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]
Write and solve an equation for each problem situation. Define the variable
A) Scott spent half of his weekly allowance on music.
To help him earn more money, his parents let him wash the car for $6.53. What is his weekly allowance if he ended with $12.03
Answers
Answer:
His weekly allowance is $5.50.
Step-by-step explanation:
12.03 - 6.53 = $5.50
I'm not 100% sure this is accurate. Good Luck!
Evaluate the expression 7[tex]x^{2}[/tex]y, when x = 5 and y = 3. (3 points)
Group of answer choices
210
728
525
315
Answers
7(5^2)(3) = 7(25)(3)
Pemdas
5 squared
Multiply 7(25) first to get 175 then times that by 3, it equals 525.
Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles apart. If Lance bikes 2 mph faster then Brent, how fast is Lance biking?
Answers
Answer:
18 mph so B is correct 16+2= 18
Answer:
B
Step-by-step explanation:
What is the x intercept of the graph of 3x-y+6=0
Answers
Answer: It would be 2,0 :) Please tell me if I'm wrong
Step-by-step explanation:
Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.
Answers
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]
[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]
Thus, the equation is TRUE.
(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]
[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]
Thus, the equation is FALSE.
(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]
[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]
Thus, the equation is FALSE.
(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]
[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]
Thus, the equation is TRUE.
(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]
[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]
Thus, the equation is FALSE.
A price of a toy usually costing £50 is increased to £65
work out the percentage increase
Answers
Answer:
15/50×100=30%
Step-by-step explanation:
Sheena made a scale drawing of her classroom using a scale of 1 inch = 10 feet. One wall of the classroom in the drawing is 4 inches long. Which proportion can be used to find x, the length of the actual wall, in feet?
Answers
Answer:
40 Feet
Step-by-step explanation:
1 inch = 10 feet
4 inch = 4 * (10 feet)
4 inch = 40 feet
ASAP someone please help me step by step so I can understand it better please
Answers
Answer:
Y=6
Step-by-step explanation:
Multi-Step Equations Escape Room
record the triangle from left to right (level 2)
Answers
Answer:
Not enough data
Step-by-step explanation:
( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth
Answers
Answer:
33.8
Step-by-step explanation:
33.8 is the closest to half of 65.
9514 1404 393
Answer:
125
Step-by-step explanation:
The proportion you want is ...
[tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]
52% of 125 is 65.
__
Comment on the formulation
You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...
whole/part = 100/52 = ?/65
Then the solution is one step: multiply by 65.
A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?
Answers
Answer:
280
Step-by-step explanation:
subtract
Answer:300
Step-by-step explanation:
Hi! Can someone please answer this and show work, please? Thanks!
-4(3v-4)=52
Answers
Isolate the variable by dividing each side factors that doesn’t contain the variable .
plzz help me with this
Answers
Answer:
Lily is correct.
Step-by-step explanation:
Lily is correct. There is no such thing as AAA congruence. James has proved that the three angles are the same, but the triangles could still be of different sizes.
Find the distance between the two points in simplest radical form.
(-3,-2) and (-8,4)
Answer:
Submit Answer
✓
attempt 1 out of 2
Answers
Answer:
y=−2/5x+4/5y
Step-by-step explanation:
Hope's this helps
PLEASE HELP ME OUT WITH THIS I NEED HELP BAD!!!!!!
Answers
Answer:
First box is the one all the way on the right
Second box Is the second one from the left
Third box Is the first one on the left
Last box is the 3rd one from the left
Step-by-step explanation:
what is 7 + 7 +7+7+7+7 x 0
XD
Answers
Answer:
35
~
Just simplify the expression and you'll get:
35
~
You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.
~
It's because to answer this question, you will need to use PEMDAS.
P, Parenthesis.
E, Exponents.
M, Multiply.
D, Divide.
A, Addition.
S, Subtraction.
~
Since we don't have parenthesis, exponents, a division sign, or subtraction sign.
All we need to do is Mutiply, and Add.
~
First we multiply, because of the PEMDAS order.
7 * 0 = 0
~
Then, since we used one of the 7's to multiply. (The one next to the 0)
We add the rest of them, not including the last seven.
There are six, sevens.
But we already used one.
So we will add only the other five.
7 + 7 + 7 + 7 + 7 = 35.
7 * 5 = 35
~
And that's it.
You got your answer, 35.
can i plz get some help
Answers
Answer:
36
Step-by-step explanation:
Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
A:2500
B:5000
C:4500
Answers
What is the point-slope form equation of the graph?
Answers
Answer:
y-4= 1/2(x+2)
Step-by-step explanation:
) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?
Answers
Answer:
a) 15160 gallons
b) 3032 gallons
Step-by-step explanation:
Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week
a) when she raises the price by 10 cents per gallon
There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons
b) when she decrease the price by 2 cents per gallon
There will be an increase ( 2 * 1516 ) gallons sold per week i.e. = 3032 gallons
2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)
Answers
y=-2x-10
explanation:
help me with this now please
Answers
Step-by-step explanation:
davis is right.
cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.
A. 2,857.60
B. 38,577.60
C. 1,428.80
D. 5,715.20
Answers
Answer:
$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.
Step-by-step explanation:
Help will give crown
Answers
Answer:
8
Step-by-step explanation:
from A to B it's 8 units long
if I have 130 of something and I need 200 how many more do I need
Answers
Answer:
70
Step-by-step explanation:
200 - 130
A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for Abdul?
Answers
Answer
92%
Explanation
23 out of 25 people voted Abdul.
So that means [tex]\frac{23}{25}[/tex] people voted Abdul.
When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).
You divide because a fraction means the numerator divided by the denominator.
be SPEEDY! Name two
perpendicular lines and two parallel lines.