Answers
Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
Related Questions
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $140 and is on sale for 15% off. Sales tax is 7%.
Victoria says that she has enough money to buy the skateboard. Is she correct?
Answers
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
2. How many times did Melanie run ½ a mile?
Answers
Answer:
5 miles
Step-by-step explanation:
add the points together.
it seems like each point is how many miles they ran each day.
1/4 + 2(1/2) + 3/4 + 3(1) = 5
What is the measure of
Answers
Answer:
Step-by-step explanation:
As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.
∠C = ∠A = 56°
B = 180 - 2(56) = 68°
Answer:
56°
Step-by-step explanation:
It is because Angle A = Angle C,since triangle ABC is isosceles triangle are equal
help pls dawg i aint tryna get an F
Answers
Answer:
The answer is d hope this helps!!
Step-by-step explanation:
Divide by lomg division
PLEASE HELP IM REALLY NEED HELP
Answers
Answer:
x=7
Step-by-step explanation:
3.5/3= 1.1666666666
6*1.16666666= 7
x=7
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of seven hours. Suppose we select a random sample of 125 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
Answers
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]
Given that μ = 20, σ = 7, n = 125.
For x = 19.25:
[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]
From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%
There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours
Find out more on z score at: https://brainly.com/question/25638875
Solve the inequality 2x^2-6>0
Answers
Answer:0
Step-by-step explanation:
Which of the following expressions is equivalent to log 5 - k log 2?
Select one answer
Answers
Answer:
C
Step-by-step explanation:
log5- klog2= log5-log2^k = log(5/2^k)
What is the probability of rolling a number greater than 1?
Type a fraction
Answers
Step-by-step explanation:
A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,
[tex]\dfrac{5}{6}[/tex]
Name a pair of overlapping congruent triangles. (PST and QTU, STR and UTR, or RPU and RQS)
Then state whether they are congruent by SSS, SAS, ASA, AAS, or HL.
Answers
Answer:
ΔRUP ≅ ΔRSQ by ASA
Step-by-step explanation:
Angle SRQ is congruent to angle URP by the reflexive property of congruence. The angles at U and S are already marked congruent, as are sides UR and SR. That means we have two angles and the side between them congruent for the two triangles:
ΔRUP ≅ ΔRSQ by ASA
Helpppppppppp plsssssss
Answers
Answer: You didnt give the 2 equations.
Step-by-step explanation:
HELP PLEASE.!!!
This week Sally withdrew $35 from her bank account and deposited $90 into her bank account. Overall, how much did she add to her bank account.
Answers
Answer:
55
Step-by-step explanation:
log x √x + log √c c² = ?
[tex] log_{x}\sqrt{x} + log_{ \sqrt{c} } {c}^{2} = \\ [/tex]
please help me!!!!?;
Answers
Given that
log √x (x) + log c² (c)
⇛ log x^1/2 (x) + log c² (c)
We know that
log a^m (b^n) = m/n log a (b)
⇛ 1/2 log x (x) + 2 log c (c)
We know that
log a ( a) = 1
⇛ (1/2)(1) + 2(1)
⇛ (1/2)+2
⇛ (1+4)/2
⇛ 5/2
Answer:- log √x (x) + log c² (c) = 5/2
[(x) ,(c) , (a) represents the bases ]
Additional comment:
(a+b)(a-b) = a²-b²log a^m (b^n) = m/n log a (b)log a ( a) = 1also read similar questions: if log^2(x)=log^2(a)+log^2(b)-log^2(c) then x is....
https://brainly.com/question/1633376?referrer
simplify the following expression. log(x2) - log(x) A. log(x^2+x) B. log(x^3) C. log(x^2-x) D. log(x)....
https://brainly.com/question/1635523?referrer
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h
Answers
Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)
Answers
Answer:
y=-2/5x+21/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(3-(-2))
m=-2/(3+2)
m=-2/5
y-y1=m(x-x1)
y-5=-2/5(x-(-2))
y-5=-2/5(x+2)
y=-2/5x-4/5+5
y=-2/5x-4/5+25/5
y=-2/5x+21/5
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.
C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.
D.
There is not enough information
Answers
The equations and the number of hotdogs and sodas sold are: x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
Two equations can be derived from this question:
2.25x + 1.50y = 225.75 equation 1
x + y = 126 equation 2
Where:
x = number of hotdogs sold
y = number of soda sold
In order to determine the value of y, multiply equation 2 by 2.25
2.25x + 2.25y = 283.50 equation 3
Subtract equation 1 from 3
57.75 = 0.75y
y = 77
Substitute for y in equation 2
x + 77 = 126
x = 49
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Answer:
The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas
Step-by-step explanation:
hope this helps
6(x 2) 3(x 3) help me help me help me help me help me HELP MEEEEE PLZ its from usatestprep
Answers
Answer:
i dont now
Step-by-step explanation:
5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise
Answers
Answer:
5.32
Step-by-step explanation:
it had a more exact reading than the others
this can explain everything . please help
Answers
35 - 45 / 9 x 5
Divide 45 by 9 to get 5.
35 - 5 x 5
Multiply 5 and 5 to get 25.
35 - 25
Subtract 25 from 35 to get 10.
= 10
Matt has 5 cookies Addie eats 3. How old is Addie?
Answers
Answer:
old enough to eat a cookie
Yep me pls thanks you so much
Answers
Answer:
32
Step-by-step explanation:
To solve, simply put 4 in place of x. 8 times 4 is 32
which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42
Answers
Answer:
It is C. 500 tablets in a bottle for 13.42
Step-by-step explanation:
9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.
6.32/100 = 0.06 cents per tablets in a bottle.
13.42/500 = 0.02 cents per tablets in a bottle.
How would I solve this algebra question? Step by step
Answers
Identify the function as a power function, a polynomial function, or neither.
[tex]fx=\frac{x^2}{x^2-1}[/tex]
Answers
Answer:
I think this is neither. As you can see the value of x reaches infinity and negative infinity, the value gets infinetly closer to 1.
A physician orders Fragmin 1,600 international units subcutaneously stat. There are 9-mL vials of Fragmin (dalteparin) 10,000 international units/mL available in stock. What volume of medication should be administered? a) 16 mL O b) 1.6 mL c) 0.16 mL d) 0.016 mL
Answers
Answer:
HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley
Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?
Answers
Answer:
54
Step-by-step explanation:
okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30 and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers then that's your answer
If a batch of cookies uses
2
2
3
cups of sugar, then how much sugar is needed to make 5 batches of cookies
Answers
Answer:
13 1/3 cups of sugar
Step-by-step explanation:
Hello hello helppppppppppppp
Answers
5 units left and 2 units down
Answer:
the person anove is correct
Step-by-step explanation:
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?
Answers
we can change cos to sin by saying cosx=sin(90-x)
now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)
90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)
-x-x=20-90+k.360........kEZ
-2x=-70+k.360.........kEZ
divide all terms by -2
x=35-k.180.......kEZ
Answer:
x=35°
Step-by-step explanation:
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.
Plz help if understand this problem
Answers
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.