Answers
Answer:
∠ CAD = 83°
Step-by-step explanation:
In a parallelogram. opposite angles are congruent.
∠ CAB = ∠ ACD = 57° ( Alternate angles )
The sum of the 4 interior angles = 360°
and
∠ ABC + ∠ CDA = 40° + 40° = 80°
Thus
∠ BCD + ∠ CAD = 360° - 80° = 280°, then
∠ DAB = 140° ( congruent opposite angles )
Thus
∠ CAD = 140° - ∠ CAB = 140° - 57° = 83°
Related Questions
The lowest temperature ever recorded in the U.S. was - 79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following best explains what temperature means.
A. It means the temperature was 79.8 Fahrenheit more than one.
B. It means the temperature was 79.8 Fahrenheit more than zero.
C. It means the temperature was 79.8 Fahrenheit less than one.
D. I means the temperature was 79.8 Fahrenheit less than zero.
Answers
Answer:
D
Step-by-step explanation:
Negative numbers are less than zero.
anyone who knows please help!!!!
i tried to solve this on my own but it's not happening rip
Answers
Answer:
13.5
Step-by-step explanation:
the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5
FD^2=FE^2+ED^2
=6^2+6^2
=72
FD=6roots2
Robin and Shaon obtained 5/6 and 4/5 of the total marks respectively in the annual examination.
Robin obtained 30 marks more than Shaon.
What is the total marks? And what marks did
everyone obtain?
Answers
Answer:
sjsnana.amamakajsakqqmk
Please help me! thank you!
Answers
Answer:
4
Step-by-step explanation:
Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.
Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.
0 - 4= I-4I or 4
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answers
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
I need help again!!!!
Answers
Answer:
Step-by-step explanation:
221/17= 13 miles per hour over
30 limit + 13 over = 43mph
Answer:
43
Step-by-step explanation:
write the factored form of the polynomial.
P(x) = x4 – 7x3 + 13x2 + 3x – 18
Answers
Answer:
(x+1)(x-2)(x-3)^2
Step-by-step explanation:
Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!
z= -400i - 44.5 what is the real part of z?
Answers
Answer:
-44.5
Step-by-step explanation:
The i part is imaginary.
The rest is real.
The real part is -44.5
Answer:
-44.5
Step-by-step explanation:
for a complex number
[tex]z=a+bi[/tex]
a is the real part
so in our case we have
[tex]z=-44.5-400i[/tex]
a = -44.5
so the real part is -44.5
how many times does 10 go into 2280
Answers
Answer:
228
Step-by-step explanation:
can someone help me (3.7x10-8)(2.9x10⁶
Answers
8.41 x 10^7
expanded form:
84100000
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answers
Answer:
The expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]
as
[tex]\sqrt{25}=5[/tex][tex]\sqrt{27}=3\sqrt{3}[/tex][tex]2\sqrt{9}=6[/tex]so the expression becomes
[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]
[tex]=5+\sqrt{3}+6[/tex]
[tex]=11+\sqrt{3}[/tex]
Thus, the expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Ava says that 100
12 is equivalent to 2 (52 – 6). Is this true or false?
O True
False
Answers
Answer:
False
Step-by-step explanation:
Assuming that the first equation is 10x - 12, you need to solve both equations in order to see if the equations are equivalent from each other.
[tex]10x-12[/tex]
[tex]10x-12=2(5x-6)[/tex]
[tex]=2(5x-6)[/tex]
Then...
[tex]2\times(52-6)[/tex]
Use Order of Operations...
[tex]52-6=46[/tex]
[tex]2\times46=92[/tex]
[tex]2(5x-6)<96[/tex]
Therefore "false" or the second option is your answer.
Hope this helps.
The amount of money that Kelly makes varies directly with the number of hours she works. If Kelly makes $306 when she works 18 hours, what is the constant of variation for her earnings?
A) 15
B) 17
C) 18
D) 20
Answers
Write (2x10) + (9 x 1) + (7 x 0.10 ) + (8 x 0.001) in standard form.
Answers
Answer:
hi
Step-by-step explanation:
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?
Answers
Answer:
1 1/3 feet long
Step-by-step explanation:
Answer:
Each of the seven smaller boards will be 1.3 feet long
Step-by-step explanation:
We must divide 9 1/3 by 7
9 1/3 / 7 = 1.333286
We now have to round to the nearest tenth which would give us:
1.3
So our final answer would be 1.3
help me I need help on this
Answers
Answer:
It is 1.
Step-by-step explanation:
Hope this helped have an amazing day!
14. Sharlene bought 4 CDs at the music store. Each cost $14.95.
She was charged 5% sales tax on her purchase. What was
the total cost of her purchase?
Answers
Answer: $62.79
Step-by-step explanation: i got it right on my test
Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
Answers
Answer:
A) 1 km in 5 min
C.) 4/20 km in 1 min
Step-by-step explanation:
Given that:
Kevin ran 4 km in 20 minutes
A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
4 km in 20 minutes :
4km / 20 minutes = 1km / 5 minutes
4/20 km in 1 minute = 0.2 km in 1 minute
If :
1 km = 5 minutes
x km = 1 minute
Number of kilometers in 1 minute :
1/5 = 0.2 km per minute
Hence, Option A and C
Find the slope
please help
Answers
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%
Answers
Answer:
1) [tex]16\frac{2}{3}[/tex]% or 20%
Step-by-step explanation:
Given that:
An experiment which is carried out by flipping a coin and rolling six sided die.
The outcomes can be:
{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}
As per question statement:
Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)
Total number of outcomes here is 10.
Therefore, to find the percentage, we use the following formula:
[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]
[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]
As per question statement, the answer is 20%.
If we consider all the outcomes, i.e.
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
Total number of outcomes = 12
The percentage will come out be :
[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]
What is the interval used in the graph shown below? A. 4 B. 9 C. 10 D. 11
Answers
Answer:
C - 10
Step-by-step explanation:
I did the quiz and this is what I got, it said I was right.
Answer:
Answer:
c-10
Step-by-step explanation
the person above's right
What is a correct name for ange 5?
Answers
Answer: KVL
Step-by-step explanation:
This would be the correct name for the angle since the V needs to be in the middle of the answer. In the angle you can see L V and K all pass 5 making it the correct name for the angle
Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)
Answers
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
7: (page 311) Triangle DEF has vertices D(1,2), E(1,6), and F(4,2). What are the coordinates of
the orthocenter of Triangle DEF?
Answers
Answer:
u
Step-by-step explanation:
What is 9 to the first power times (-2)3?
(A) -27
(B) 36
(C) -72
(D) 27
Answers
Answer:
-72
Step-by-step explanation:
9*(-2)³ = 9*(-8) = -72
Answer:
(C) -72
Step-by-step explanation:
[tex]9^1*(-2)^3[/tex]
Any number to the exponent of 1 is equal to themselves
[tex]= 9*(-2)^3[/tex]
Solve the exponent and multiply
[tex]= 9*(-8)\\=-72[/tex]
I hope this helps!
PLEASE PLEASE PLEASE HELP!!
Answers
Answer:
I'm just doing this to get points
(k^2-6k^4)-(3k^4+k^2+2)
Answers
Step-by-step explanation:
Vamos simplificar passo a passo.
k2-6k4-(3k4+k2+2)
Distribua o sinal negativo:
=k2-6k4+-1(3k4+k2+2)
=k2+-6k4+-1(3k4)+-1k2+(-1)(2)
=k2+-6k4+-3k4+-k2+-2
Combine os termos semelhantes:
=k2+-6k4+-3k4+-k2+-2
=(-6k4+-3k4)+(k2+-k2)+(-2)
=-9k4+-2
Responda:
=-9k4-2
express cos6mcos2m as a sum or difference
Answers
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
3. What is the slope of the line represented by the equation
(-14y) - 7x?
a. -2
b. -1/2
Z
c.
d. 1/2
Answers
Answer:
Slope = -1/2
Step-by-step explanation:
Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.
Solving Polynomials (PLZ HELP!! BRAINLIEST IF RIGHT)
Answers
Answer:
[tex]x=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]
Answer:
x = [tex]\frac{2}{5}[/tex] , x = ± i
Step-by-step explanation:
Given
5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )
x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term
(5x - 2)(x² + 1) = 0
Equate each factor to zero and solve for x
5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i
The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is
x = [tex]\frac{2}{5}[/tex] ← real root
x = ± i ← complex roots