(Angles in
The figure shows a parallelogram ABCD where BÂD = 64°
Elies on AB such that AÐE = 49°.
C С
D
49
Calculate
(i) ABC,
(ii) CỘE.
64
B
A
E
Answers
Answer:
m<ABC = 116°
m<CDE = 67°
Step-by-step explanation:
✔️m<ABC = 180 - m<BAD (adjacent angles of a parallelogram are supplementary)
m<ABC = 180 - 64° (Substitution)
m<ABC = 116°
✔️m<CDA = m<CDE + m<ADE (angle addition postulate)
m<CDA = m<CDE + 49°
m<CDA = m<ABC (opposite angles of a parallelogram are congruent)
m<CDE + 49° = 116° (substitution)
m<CDE = 116° - 49° (Substraction property of equality)
m<CDE = 67°
Related Questions
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
Answers
Just put f into g
Help please urgent sadly
Answers
Answer:
3x+6
Step-by-step explanation:
Please mark this as brainliest thank you
you need 1661.06 ft squared of carpet to completely cover the floor or a round room. what is the diameter of the room.
Answers
Answer:
46 ft
Step-by-step explanation:
A = π×d²/4
d² = √4×A /π
= √4×1611.06 / 3.14
=√ 2116
= 46 ft
Answer:
46 feet squared
Step-by-step explanation:
A = π×d²/4
d² = √(4×A /π)
= √(4×1611.06 / 3.14)
= 2116
= 46 ft squared
Select all the ratios that are equivalent to 8 : 6. *
4:3
6 to 8
16:12
10:8
7 to 5
Answers
Answer:
4:3 and 16:12
Step-by-step explanation:
Simplify:
4y + (2y – 4)
Answers
hope that helps
Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was
feet above sea level
Answers
Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approximate magnitude of the resultant force?
Answers
The resultant force in the example presented is approximately 774 pounds.
What is magnitude?The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.
Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
Consider the following scenario: the force is 10 N in the east.
The direction is indicated by "towards the east," while the force is indicated by "10."
Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
So, an object is under the influence of two forces with respective magnitudes of 300 pounds and 450 pounds and an angle of 60 degrees between them.
F₁=300 pounds, F₂=450 pounds and θ=60°
Fr=√300²+450²+2×300×450×cos60°
= √90000+502500+13500×0.5
= √90000+502500+6750
= √599250
= 774 pounds
Therefore, the resultant force in the example presented is approximately 774 pounds.
Know more about magnitude here:
https://brainly.com/question/24468862
#SPJ1
Answer: C. 653.91 pounds.
Step-by-step explanation:
for every 5 coins Carmen gets, she gives her brother Frankis 2 coins. If Carmen gets 9 coins, how many do her brother have?
Answers
Answer:
6 coins
Step-by-step explanation:
For every 5 coins Carmen recieves, she gives off 2 to her brother, leaving her with 3 coins, 3x3=9, 2x3=6
The 2 coins that Frankis get multiply by 3
One morning, the temperature outside was -3°F. By 5:00PM the temperature had decreased 15°F. What was the temperature at 5:00 PM?
a. -18°F b. -12°F C. 12°F d. 18°F
Answers
Answer:
A.
Step-by-step explanation:
If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.
-3 - 15 = -18
Correct me if I end up being wrong.
On the graph of f(x)=sinx and the interval [0,2π), for what value of x does f(x) achieve a minimum? Choose all answers that apply.
Select all that apply:
0
π/4
π/2
π
3π/2
Answers
Answer:
3π/2
Step-by-step explanation:
See attached graph
Which expression is equivalent to the given expression?
8(34a)−8
34a
6a
8(34a−1)
34a−1
Answers
Answer:
8(34a-1)
Step-by-step explanation:
Hope this helps :)
Answer:
8(34a-1)
Step-by-step explanation:
My teacher likes to give me stuff I haven’t learned
Answers
Answer:
haha same
Step-by-step explanation:
i think the answer is B
Answer:
hmm not so difficult
Step-by-step explanation:
I think it's B
need help this is due in 30 min and boost up my grade to a 87
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute....
you might have to round so
Answers
Answer:
66.67 (or 66 2/3) words per minute
Step-by-step explanation:
90 seconds is equal to 1.5 minutes.
100 words/1.5 minutes = 66 2/3 words/minute
(also good luck on boosting your grade :) )
4
A system of equations is shown below.
5x + 2y = -15
2x - 2y = -6
What is the solution to the system of equations?
A
(-3,0)
B
(0, -3)
С
(-3,6)
D (6,-3)
Answers
Answer:
the answer for this question is
A(-3,0)
Find the exact value of csc 5pi/6
Answers
Answer:
csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)
Step-by-step explanation:
csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.
csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]
but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]
Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305
bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony
when he returns 24 hours later?
Answers
Answer:
After next 24 hours, bacterial population would be [tex]1433[/tex]
Step-by-step explanation:
The initial bacterial count at time = 0 was [tex]100[/tex]
At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]
At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]
As we know that
[tex]P = P_0 * e^{rt}[/tex]
The growth rate of bacterial population is equal to
[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]
Substituting the above values we get -
[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]
Count of bacteria after next 24 hours
[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]
आकत हा
(क) समीकरणों 2x+3y = 18 तथा. X-2y=2 का हल है।
Answers
Answer:
Y=-2/3x+6
y= 1/2x+ -1
No
Step-by-step explanation:
Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have
Answers
Answer:
2
Step-by-step explanation:
1/4= .25
1/8= .125
so 1/4÷ 1/8=2
The daily temperature in the month of March in a certain city varies from a low of 24 degrees F to a high of 40 degrees F. Find a sinusoidal function to model daily temperature and sketch the graph. Let t=0 correspond to noon, when the highest temperature of the day occurs.
Please help I'm in the test.
Answers
Answer:
d(t)=8cos((pi/12)t)
Step-by-step explanation:
I think this is correct...
A=8 b/c 40-24=16, 16/2 = 8
B=2pi/per, 2pi/24, B = pi/12
2x-3y=3
find the slope and y intercept
Answers
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
Answers
Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
Answers
PLEASEEEEEEE HELPPPPPPPPPPppp
Answers
Answer:
gstmhsiskgs sg sgw5ket5 l d
HELP
Erick spent $ 21.91, including sales tax, on 2 T-shirts and 3 pairs of socks. The t-shirts cost $ 6.75 each and the total sales tax was $ 1.03. Complete the table with the correct prices.
Answers
Answer:
t shirts were $6.75 each.
socks were $4.71 each
sales tax was $1.03
brainliest??... i took my time out to help u
Answer: So Im basicaly just replying to get points sorry
Look i sure someone will answer it soon good luck buddy I have faith in you
Step-by-step explanation:
marking brainliest!!
Answers
Answer:
A
Step-by-step explanation:
A is your answer because
the exponent is 2 for the two equations first u have to multiply your exponents and then you multiply your 4 and 3 from that u get your answer ,but answer is A
Hope this helps:)
Pls mark brainlist
Answer:
A) [tex]\sqrt{4^{2} +3^{2} }[/tex]
Step-by-step explanation:
One side is 4 cm, the other side of the triangle is 3 cm because you subtract 4 from the 7 length. To find hypotenuse, you do side 1 squared + side 2 squared.
Hope it helps!
Find the slope of a line parallel to the line given
m=-7/8
A. 8/7
B. 7/8
C. -7/8
D. -8/7
Answers
[8-(-12)]÷(2x-2)-(-8)
Answers
Answer:
3
Step-by-step explanation:
simplify(x^5^2/ x^2)
Answers
Answer:
x^23
Step-by-step explanation:
Cancel the common factor of x^5^2 and x^2
Factor x^2 out of x^5^2
(x^2) (x^5^2-2) / (x^2)
cancel common factors
x^25-2 = x^23
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answers
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answers
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
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