Answer:
I believe the answer is c hope this helps
The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.
Answer:
< CDA = 140 degrees
Step-by-step explanation:
For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD
Given
<CAD = 20 degrees
<BCE = 20 degrees (based on geometry)
<BAD = <CAD + <BCE
<BAD = 20 + 20
<BAD = 40 degrees
Since <BAD = <BCD, then <BCD = 40 degrees
Get <CDA
<CDA + <ABC + <BAD + <BCD = 360
<CDA + <CDA + <BAD + <BCD = 360
2 < CDA + 40 + 40 = 360
2< CDA + 80 = 360
2< CDA = 360-80
2< CDA = 280
< CDA = 280/2
< CDA = 140 degrees
which expression is equivalent to (1+cos(x))2(tan(x/2))?
a. sin(x)
b. 1-cos(x)
c. 1-cos2(x)
d. (1+cos(x))(sin(x))
Answer:
It's d
Step-by-step explanation:
(1+cos(x))(sin(x))
The trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to (1+cos(x))(sin(x)) option (d) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The trigonometric expression is:
= (1+cos(x))²(tan(x/2))
As we know,
1 + cos(x) = 2cos²(x/2)
Use the above trigonometric identity:
= (2cos²(x/2))²(tan(x/2))
= 2 cos⁴(x/2) sin(x/2)/cos(x/2)
= 2 sin(x/2) cos³(x/2)
2sin A cos B = sin2A
Use the above trigonometric identity and after simplification we get:
= (1+cos(x))(sin(x))
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Thus, the trigonometric expression (1+cos(x))2(tan(x/2)) is equivalent to (1+cos(x))(sin(x)) option (d) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
3y (x + x^2 - y)
i need help :(((
Answer:
3yx+3yx^2-3y^2
Step-by-step explanation:
Solve: 6 -x= 4(5 + x)- 4
OA. x=-2
O B. There are infinitely many solutions.
O C. a =-
OD. X=-5
Answer:
x = - 2
Step-by-step explanation:
Given
6 - x = 4(5 + x) - 4 ← distribute and simplify right side
6 - x = 20 + 4x - 4
6 - x = 16 + 4x ( subtract 4x from both sides )
6 - 5x = 16 ( subtract 6 from both sides )
- 5x = 10 ( divide both sides by - 5 )
x = - 2
Find the value of x. Give reasons to justify your solution. D ∈ AC
Answer:
x = 13
Step-by-step explanation:
Find the diagram attached
From the diagram, the sum of angle of the straight line BCD is 180°. Hence;
<BCE+<ECF<90 = 180
<BCE+64+90=180
<BCE+154 = 180
<BCE = 180-154
<BCE = 26°
Next is to get x.
The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE
<BCE + <BEC = <ABE
26+x = 3x
Collect like terms
26 =3x-x
26=2x
x = 26/2
x = 13
Hence the value of x is 13
A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?
Given: bisects ∠MRQ; ∠RMS ≅ ∠RQS
Triangles R M S and R Q S share side R S. Point N is on line R S. Lines are drawn from point M to point N and from point Q to point N. Angles M R S and S R Q are congruent.
Which relationship in the diagram is true?
ΔMNR ≅ ΔMNS by ASA
ΔRMS ≅ ΔRQS by AAS
ΔSNQ ≅ ΔSNM by SSS
ΔQNR ≅ ΔMNR by HL
Answer:
B. ΔRMS ≅ ΔRQS by AAS
I just took the test :)
Answer:B
Step-by-step explanation:just took the test
I'll love you forever if you help me with this
pls help, MARK BRAINLEST with correct answer. Work out the surface area of this solid prism.
Answer:
Where's the prism? ＞︿＜
Step-by-step explanation:
Please help as soon as possible! I need to get this done now! Thank you so much
Answer: SSS and CMW=FPY
Step-by-step explanation:
The lines on each side of the triangle show which sides match. So it is just a case of matching sides with sides.
The diagram represents a reduction of a triangle by using a scale factor of 0.8.
What is the height of the reduced triangle?
A) 4.0 inches
B) 4.8 inches
C) 5.2 inches
D) 7.5 inches
Answer:
B 4.8 inches
Step-by-step explanation:
The scale factors are used to convert a figure into another one with similar characteristics but different lengths, in this example is a triangle, and in order to calculate the measure of the height you just have to multiply the original height by the scale factor:
Which equasion represents a line that is parallel to the line y=-4x+5
What are the coordinates of the image D0.5(3,5)?
Answer:
There isn't an image attached .
Step-by-step explanation:
Answer:
The answer is 5.-3
Step-by-step explanation:
3 pounds cost $15. How many pounds can you buy for $45?
Answer:
you can buy 9 poundssss
Does the table below show a linear relationship between total cost of
balloons in dollars and the number of balloons purchased?
Answer:
A yes
Step-by-step explanation:
Answer:
YES, because the points fall in a straight line when plotted on a graph.
Step-by-step explanation:
To graph these numbers we can take two of the points and put them into two point form and then convert that to slope intercept form.
(2,6) and (4,12)
(y-y1) = [(y2-y1)/(x2-x1)]*(x-x1)
y-6 = [(12-6)/(4-2)]*(x-2)
y = 3x+4
If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find
Answer:
a = 21.82 if and only if b=10 and c=24
if you meant b=24 c=10
there can't be such a triangle because the hypotenuse is the longest side
Step-by-step explanation:
[tex]a^2+b^2=c^2\\\\a=?\\\\b=24\\\\c=10\\\\\\a^2+(24)^2=(10)^2\\\\a^2=(10)^2-(24)^2\\\\a^2=(10-24)(10+24)\\\\a^2=-14(34)[/tex]
which doesn't work because something squared can't be a negative
if you meant
c=24 and b=10
[tex]a^2+(10)^2=(24)^2\\\\a^2=(24)^2-(10)^2\\\\a^2=(24-10)(24+10)\\\\a^2=(14)(34)\\\\a\approx 21.82[/tex]
9514 1404 393
Answer:
a = 26 or 21.82
Step-by-step explanation:
If 'a' is the hypotenuse, then ...
a² = b² +c²
a² = 24² +10² = 576 +100 = 676
a = √676 = 26 . . . if 'a' is the hypotenuse
__
If 'a' is the long side, then ...
b² = c² + a²
b² -c² = a² = 24² -10² = 576 -100 = 476
a = √476 ≈ 21.82 . . . if 'a' is the long leg
__
Comment on the question
The problem statement doesn't tell us what side of the triangle is labeled 'a'. There are two possibilities. An answer has been provided for each. Use the one that applies to the figure you are given.
Find the area of the shaded region.
3. Write 7 thousandths as a decimal.
Comments
Answer:
7 thousandths as a decimal is 0.007
Step-by-step explanation:
The part where "ths" means a decimal. So we put 3 zeros, because a thousand also has 3 zeroes. 7 thousandths as a decimal is 0.007
Hope this helps
Mark me brainliest please :D
Identify the method that will be used to solve for x for each equation. 4r = 20 x-11 = 9 5x + 6x = 22 5(x - 2) = 30
Answer:
for 4x = 20 you have to use the division property of equality divide 20 by 4
for x - 11 = 9 you have to use the addition property of equality add 9 to 11
for 5x + 6x = 22 you have to combine like terms add 5x and 6x to make 11x
for 5(x – 2) = 30 you have to use the distributive property multiply 5 and x; 5 and -2
4x = 20; x = 5
x - 11 = 9; x = 20
5x + 6x = 22; 11x = 22; x = 2
5(x – 2) = 30; 5x - 10 = 30; x = 8
Step-by-step explanation:
hope this helps
PLZ HELP ILL MARK U BRAINLEIST
Answer:
Step-by-step explanation:
OK so i think triangle c
Answer:
F And C
Step-by-step explanation:
congruent means identical in form
Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075
Given the following functions, find the indicated values.
f(x) = 2 -5x
(a) f(-6) (b) f(0) (c) f(9)
(a) f(- 6) = 2
(b) f(0) =
(c) f(9) =
Answer:
f(-6) = 32
f(0) = 2
f(9) = -43
Step-by-step explanation:
Since in this question we are given a function all we have to do is to plug in the values that were indicated in the question and find out what value are we going to get as an output of this function. So we just do the following.....
a)
f(-6) = 2 - 5(-6)
f(-6) = 2 - (-30)
f(-6) = 2 + 30
f(-6) = 32
b)
f(0) = 2 - 5(0)
f(0) = 2 - 0
f(0) = 2
c)
f(9) = 2 - 5(9)
f(9) = 2 - 45
f(9) = -43
I need help with this equation. I'm not that smart so I can't figure it out-
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $140 more than Barb. Barb and Carlita combined sold $320 more than Annette. How much did each person sell?
12. A bag contains a total of
100 black and white marbles.
Without looking a marble is
chosen, recorded, and placed
back in the bag. The student
records 8 black marbles and 2
white marbles. Predict the
number of black marbles in
the bag.
Answer:
The answer would be 80 black marbles.
Step-by-step explanation:
The student chose 10 marbles. 8 of those were black. There are 100 marbles total. Going at this rate, picking 10 at a time, 10x10 is 100. So we would do this 10 times. 8x10 is 80. 2x10 is 20. There are 80 black marbles.
What is the answer to this question? (pls help)
Answer:
D
Step-by-step explanation:
if you divide the money by the ounce, D is the cheapest with 0.24 per ounce
Answer:
Step-by-step explanation:
My guess is that it is not A. And A is not the answer.
You have to try each one to see.
3.20 / 8 = .40 cents/ounce.
6.25/25 = .25 dollars per ounce
3.84/16 = .24
The last one is the better buy.
The wholesale price of a flower arrangement was $60 and the flowers were marked up 30%.
Finish the diagram to find the retail price.
100 percent is a 60 dollars wholesale price, 30 percent markup is a, and retail price is b.
a =
b =
Answer:
A=18
B=78
Step-by-step explanation:
Answer:
A: $18.00
B: $78.00
Step-by-step explanation:
I did the assignment and got it right
edge 2021
(Plzzzzz help) (15 points)The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
Answer:
21
Step-by-step explanation: You have to first put all the numbers in order and divided it by the amount of numbers that are in ur set and boom ur done.
PLEASE HELP!
In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If m<CAD 30, find m<ABC.
What does 7/2h(-15h + 1 1/2) equal to? x doesn’t equal anything.
Answer: -7 (30h - 11) / 4h
Step-by-step explanation:
Answer:
Step-by-step explanation:
All you can do is remove the brackets.
7/2 h * -15h = -52.5 h^2
7/2 h * 1 1/2= 7/2h * 3/2 = 21/4 h =5.25 h
7/2h(-15h + 21/4) = - 52.5 h^2 + 5.25 h = -52 1/2 h^2 + 5 1/4 h