The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.
Given :
The diagonals of rhombus ABCD intersect at E.
∠CAD = 20°.
To Find :
The angle ∠CDA.
Solution :
We know, diagonals of a rhombus bisects each other perpendicularly.
So, ∠DEA = 90°.
In triangle ΔEAD :
∠EAD + ∠AED + ∠EDA = 180°
20° + 90° + ∠EDA = 180°
∠EDA = 70°
Now, we know diagonal of rhombus also bisect the angle between two sides .
So, ∠CDA = 2∠EDA
∠CDA = 2×70°
∠CDA =140°
Therefore, ∠CDA is 140°.
Please help me, TYSM !!❣
Answer:
A
Step-by-step explanation:
thats my best guess, but im not positive sorry if im wrong!
A color printer prints 21 pages in 9 minutes. How many pages does it print per minute? Round your answer to the nearest hundredth.
? = pages per minute
Answer:
2.33 = x
Step-by-step explanation:
pages minutes
21 9
x 1
Cross multiply.
21×1 = 9×x
21 9x
9 9
9 cancels 9 leaving x. and 21 divided by 9 equals 2.33 pages. NB. both sides are divided by 9 because we want x by itself and what you do to one side, you have to do to the other.
Rosalina is driving to visit her family which live 150 km away her average speed is 60 km/h the cars tank is 20 L of fuel at the beginning of the drive and its fuel efficiency is 6 km perL fuel cost $.60 per liter how long can Roselene drive before she runs out of fuel
Answer:
With the amount of fuel she has, she can drive 120 km which will take 2 hours.
Step-by-step explanation:
You need to figure out which information is necessary for this problem and which is not.
The fuel tank has 20 L.
The car drives 6 km per L.
20 L * 6 km/L = 120 km
She can drive 120 km with the amount of fuel she has.
She is driving at 60 km/h.
speed = distance/time
time * speed = distance
time = distance/speed
time = (120 km)/(60 km/h) = 2 hours
Answer: With the amount of fuel she has, she can drive 120 km which will take 2 hours.
50 points!!! If your good at math please help! :) will give brainlest
Y is directly related to X, and Y is 81 when X is 27.
The constant of variation is ___
(there are no answer choices, it's just a type in box so i need an exact answer please! :))
Answer:
y=3x or x=y/3
Step-by-step explanation:
81, y divided by 3 is equal to 27.
The height of a room is 10 feet. You are installing floor-to-ceiling shelving, and each shelf is 8 inches tall. Write and solve an inequality for the number of shelves you could possibly build.
10 feet = 120 inches
120 divided by 8 = 15
you can have 15 shelves in the room
A pair of designer blue jeans is on sale for $51. This is 75% of the original price. What was the original price of the jeans?
what fraction is 3/4 equivalent to?
Answer:
6/8
Step-by-step explanation:
double both of them lol
Answer:
3/4 is equivalent to 6/8 and 12/16
Step-by-step explanation:
Please help me out!!!!!
Answer:
To find a degree 3 equation you must find and take the roots.You have the roots at x=0 Now plug those into the equation for example: (x-4) would result in x1=4Hope this helps!PLZ do all of it plz i will give brainlest and thanks to best answer
Answer:
1. -4
2. 10
3. -19
4. 5
Step-by-step explanation:
1. 5 + -9= -4
2. -3 + 13 = 10
3. -8 + 11 = -19
4. 6 + -1 = 5
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
picture above
give the right answer and i’ll literally give 75 extra points and brainliest x2 , please help i can’t fail
Answer:
False :)
Step-by-step explanation:
Answer:
Not a function, therefore false.
Step-by-step explanation:
Maybe this attachment can help.
Evaluate the function for f(3).
f(x) = -3x - 8
Answer:
-17
Step-by-step explanation:
-3(3)-8
-9-8=-17
Answer:
f(3) = - 17
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = - 3(3) - 8 = - 9 - 8 = - 17
Find the value of x.
Answer:
x = 78
Step-by-step explanation:
180 - 60 - 42 = 78
Pardon me if i'm wrong :/
The scores on a test are normally distrubuted with a mean of 60 and a standard deviation of 12. What is the score that is 2 1/2 standard deviations above the mean?
Answer:
?
Step-by-step explanation:
integral 1-rootx/x dx
sin 40 cos 50 + cos 40 sin 50 find the value
Answer:
= 1
Step-by-step explanation:
0.4131 + 0.5868 = 0.999 --> 1
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where x is the time (in seconds) since you first noticed the hot air balloon. ANSWER FASTTTTT!!!
Answer:
55 secsStep-by-step explanation:
Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.
Substitute h(x) = 0 into the modeled expression and find x as shown;
h(x)=−6x+330
0 = −6x+330
6x = 330
Divide both sides by 6
6x/6 = 330/6
x = 55 seconds
Hence the hot air balloon hits the ground after 55 seconds
Answer I will mark branliest
Answer:
D 50
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
5y^2+4x
5(3)^2+4(2.5)
5(9)+4(2.5)
45+4(2.5)
45+10
=55
Find the value of
x
x for the following:
x
=
12
x
=12
Answer
144
Step-by-step explanation:
12*12=144?
x=12
x=12
then what?
. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
take him to fill the bottle?
Answer:
1/2 minute
Step-by-step explanation:
We can use a ratio to solve
1/3 bottle 1 bottle
------------ = --------------
1/6 minute x minutes
Using cross products
1/3x = 1/6 *1
1/3 x = 1/6
Multiply each side by 3
3 * 1/3x = 3 * 1/6
x = 3/6
x = 1/2
1/2 minute
Answer:
30 seconds (1/2 minute)
Step-by-step explanation:
We are given that,
Amount of water filled in 1/6 minute = 1/3
Now, Let the time taken to fill the whole bottle with water be x
Hence,
Through the ratio method we get,
1/3:1/6 : : 1:x
Hence, we need to multiply the extremes and the means together and equalize them.
Hence,
x/3=1/6
x=(1/6)×3
x=(1/2) minute or 30 seconds
What will be the distance from the center of dilation, P, to the image S'?
2 units
4 units
6 units
8 units
Answer:
the answer is 6 units..
help me find m and b
Answer:
m = 2/3
b = -1
y = 2/3x - 1
Step-by-step explanation:
Answer:
y=2/3x-1
Step-by-step explanation:
please help me !!!!!!!!!!!!!!!!
5Step-by-step explanation:
Find the measure of the indicated angle. Round to the nearest tenth of a
degree.
Step-by-step explanation:
Using trignometry, we have cosθ = Adjacent / Hypotenuse = 3/5.
Hence θ = cos-1(3/5) = 53.1° (A).
What is the greatest cornron foctor (Gc) of 15 and 64?
The GCF of 15 and 64 is 1.
Samantha is selling custom printed t-shirts as a fundraiser. It costs her $3.50 to print a shirt with one ink color and $4.00 to print a shirt with two ink colors. She sells single-ink-color shirts for $5.00 and two-ink-color shirts for $6.00. An order is placed for 153 single-ink-color shirts and 88 two-ink-color shirts. How much will Samantha have to spend in order to fulfill this order?
Answer:
42
Step-by-step explanation:
Just did it for HW
Answer:
How much it costs her to make it:
One-ink: 535.5
Two-ink: 352
Total: 887.5
Profits:
One-ink: 229.5
Two-ink: 176
Total: 405.5
20 POINTS and BRAINLIEST
Solve the simultaneous equation!
Answer:
x=7 y=-2
Step-by-step explanation:
A woman sold a typewriter for Rs 13718 in the system of compound depriciation at the rate of 5 percent .If she had purchased it 3 years before how much did she pay for it by that time?
Answer:
Rs 16000
Step-by-step explanation:
Given that :
Price at which typewriter was sold = Rs 13718
Compound Depreciation rate = 5%
Time = 3 years
Amount paid for typewriter 3 years ago
Using the relation :
Final amount = Initial amount(1 - r/n)^nt
n = number of compounding times per period
Rate = r = 5% = 0.05
t = time
A = Final amount = 13718
Initial amount = original purchase price (p)
Therefore ;
13718 = p(1 - 0.05)^3
13718 = p(0.95)^3
13718 = p * 0.857375
13718 = 0.857375p
p = 13718 / 0.857375
P = Rs 16000
Amount paid at the time of purchase = 16000
three fourths times two thirds .
a
five twelfths
b
six twelfths
c
five sevenths
d
six sevenths
Answer: 1/2
Step-by-step explanation: 3/4x2/3= 6/12=3/6=1/2. Hope this helps! Have a wonderful day/night! PLz mark me as brainliest!
Answer:
b) six twelfths
Step-by-step explanation:
(3/4)*(2/3) = 0.50.5 = 1/2 = 6/12 = six twelfths