PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m
of ZCAD?
Answers
Answer:
The measure of ∠CAD is 69°
Step-by-step explanation:
In ΔABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∴ DE is parallel to AC
→ From parallelism
∵ DE // AC
∴ m∠EDB = m∠CAD → corresponding angles
∵ m∠EDB = 83 - 7x
∵ m∠CAD = 7x + 55
→ Equate them
∴ 7x + 55 = 83 - 7x
→ Add 7x to both sides
∵ 7x + 7x + 55 = 83 - 7x + 7x
∴ 14x + 55 = 83
→ Subtract 55 from both sides
∵ 14x + 55 - 55 = 83 - 55
∴ 14x = 28
→ Divide both sides by 14
∴ x = 2
→ To find m∠CAD, substitute x by 2 in its measure
∵ m∠CAD = 7(2) + 55
∴ m∠CAD = 14 + 55
∴ m∠CAD = 69°
∴ The measure of ∠CAD is 69°
Related Questions
............................
Answers
Answer:
The answer above is correct.Step-by-step explanation:
I hope l helped you. ❤❤Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answers
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
a positive integer n not exceeding 100 is chosen in such a way that if n ≤ 50 , then the probability of choosing n is p , and if n > 50 , then the probability of choosing n is 3 p . the probability that a perfect square is chosen is (a) 0.05 (b) 0.065 (c) 0.08 (d) 0.09 (e) 0.1
Answers
The probability that a perfect square is chosen is 0.08;
P represents the likelihood of selecting the number 'n' such that n>50. There are exactly 7 perfect squares less than 50. Therefore, there is a 7/50 chance of having a perfect square that is less than or equal to 50.
The likelihood of selecting the number "n" such that n>50 is also given as 3p. From 50 to 100, there are precisely 3 perfect squares. Therefore, there is a 3/50 chance of having a perfect square that is higher than 50 and less than or equal to 100.
The chance of selecting any number between "1" and "100" is p+3p=4p.
The probability that the chosen number is a perfect square and less than or equal to 50 is p × 7/50;
The odds that the selected number is larger than 50 but not higher than 100 and a perfect square are 3p × 3/50;
Consequently, the likelihood that any selected number is a perfect square is (p×7/50+3p×3/50)÷4p
If we simplify, we have 0.08.
To learn more about probability this; visit: https://brainly.com/question/21217892
#SPJ4
Um could you just explain how you got the answer so i can do the rest by myself?? ❤︎❤︎
In APQR, mZP = (4x – 14)", mZQ = (5x + 6)°, and
mZR = (x - 2)°. Find mZR.
Answers
Answer:
x = 19
m<R = 17°
Step-by-step explanation:
PQR is a triangle and the sum of interior angles in a triangle is equal to 180°
m<P + m<Q + m<R = 180°
4x - 14 + 5x + 6 + x - 2 = 180° add like terms
10x - 10 = 180 add 10 from both sides
10x = 190 divide both sides by 10
x = 19
angle R is x - 2 so if we replace x with the value we found
m<R = 19 - 2 = 17°
A chord of a circle is equal to the radius of the circle, name the figure obtained.
Answers
Answer:
diameter
Step-by-step explanation:
that's the answer i think
100 point need the right answer plxx
Calculate (3.012 x 10−8) + (4 x 10−8).
3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8
Answers
Answer:
Step-by-step explanation:
3012 X 2 + 4 X 2 es 6024 + 4 X 2 es igual a 6032 ok
Answer:
[tex]\sf c.) \: \ 7.012 \times 10^{-8}[/tex]
Step-by-step explanation:
[tex]\sf \rightarrow (3.012 \times 10^{-8}) + (4 \times 10^{-8})[/tex]
take out common factor
[tex]\sf \rightarrow 10^{-8}(3.012 +4)[/tex]
add integers inside bracket
[tex]\sf \rightarrow 10^{-8}(7.012 )[/tex]
in standard form
[tex]\sf \rightarrow 7.012\times 10^{-8}[/tex]
6. Which expressions are equivalent to
4(x - 1)? Circle all that apply.
Answers
Answer:
C, E
Step-by-step explanation:
it is
Tammy and Jodi assembled 420 circuit boards in 8 hours. The next day they assembled 36 more circuit boards in the same amount of time. What was their average rate on the second day?
Answers
Answer:
fifty seven
Step-by-step explanation:
please I need to get this done before 11:30 pm sept 15...
Answers
-3x^2 / y^2
^ representing to the power of
A quantity with an initial value of 5500 decays exponentially at a rate of 5% every eight hours what is the value of the quantity after one day to the nearest hundredth
Answers
Answer:
≈4715.56
Step-by-step explanation:
The value of the quantity after one day to the nearest hundredth will be 4715.56.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A quantity with an initial value of 5500 decays exponentially at a rate of 5% every eight hours what is the value of the quantity after one day to the nearest hundredthThe expression for the final value will be:-
Final quantity = 5500( 0.95 )³
Final quantity = 4715.56
Therefore the value of the quantity after one day to the nearest hundredth will be 4715.56.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
The lunch coordinator is recording the drink choices of the students in her school. She has partially completed the table. Which describes the variables in the two-way table? Lunch Drinks Milk Water Total Girls 52 85 41 93 Boys Total gender and number who chose mük gender and drink choice number who chose milk and number of boys number who chose milk and total students
Answers
Answer:
i took the test and i think its B.gender and drink choice........................................i hope that helps!
Step-by-step explanation:
Answer:
The first person is right it's B
Step-by-step explanation:
write the equation of the ellipse graphed below.
ps. this is on Khan Academy’s ‘Ellipse standard equation & graph’
Answers
Answer: I am assuming its telling me to see where it is placed at so it would be (5,7).
I not for sure but I am pretty sure!
Good Luck!
Chris completed 20% of a 50 page reading assignment. How many pages did he read?
Answers
Answer:
10 pages
Step-by-step explanation:
To find 20% of 50, multiply .20 x 50
.2 × 50 = 10
Answer:
10 pages
Step-by-step explanation:
20% of 50 pages
One way is converting 20% to a decimal 0.2
0.2 x 50 = 10 pages.
i need help. thank you
Answers
Answer:
x = 2
Step-by-step explanation:
x/6 + 1 = 2x - 8/3 (first you want to multiply by 6 on both sides to get rid of x/6)
x + 6 = 12x - 16 (add 16 on both sides)
x + 22 = 12x (subtract x on both sides)
22 = 11x (divide by 11 on both sides)
2 = x
Hope this helps ya!!
A box contains 90 discs numbered from 2 to 90. If one disc is drawn at a random, find the probability that it bears a two digit number
Answers
Step-by-step explanation:
Let E be the event of drawing a disc from the box of discs numbered from 1 to 90
Two digit numbers from 1 to 90=10,11,12,.....,90
No. of favorable outcomes=81
Total no. of possible outcomes =90
We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=9081=109
Therefore, the probability of a two digit numbered disc from the box of discs numbered from 1 to 90=109
hope it helps !
Talla is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of 12 cubic feet. Will the poster lie flat in the box? Explain?
Click the icon to view the moving box
An area of 4 square feet means the square poster has dimensions. If the poster were the side of a cube, that cube would have a volume of The box has a
Se flat in the bottom of the box
sides must be
than the sides of the poster, meaning that the poster
volume, so its
Answers
Hence , the poster will lie flat in the box as the area of box is much greater than the area of poster .
The house occupied by a two-dimensional flat surface is termed the realm. it's measured in sq. units. The area of the cube is given by A = 6a² where "a" is the side of the cube . ........(1)The number of house, measured in cubiform units, that associate degree object or substance occupies is termed volume. Two-dimensional doesn’t have volume however has space solely which is given by V = a³ where "a" is the side of the cube .It is given that area of square framed poster = 9 sq. feet and volume of cube shaped box = 30 cubic feet.
Using volume formula , we get
a³ = 12
a = ∛12
a = 2.28 feet
Putting a = 2√3 in equation (1) , we get area of cube
6 (2.28)² = 6 × 5.19
= 31.19 square feet
Since the cube box is giant enough in order that the poster can lie flat within the box.
Learn more about volume of cube here :
https://brainly.com/question/1972490
#SPJ1
There were 225 tickets sold for the ballgame. Children's' tickets were $1 and adults' tickets were $2. If
the total amount of tickets sold was $400, how many of each type were sold?
Answers
Answer: 175 adult and 50 children
Step-by-step explanation:
1x+2y=400
x+y=225
subtract x
y=225-x
substitute for y in first set
1x+2(225-x)=400
1x+450-2x=400
450-x=400
-x=-50
x=50
substitute for second set
50+y=225
y=175
The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater
than 45 square meters, what are the possible values of w, its width, in meters?
OW> 36
Ow< 36
OW> 5
O w<5
Answers
Answer:
The width should be more than 5 m. So it can be 6,7 ...
Step-by-step explanation:
The length of a flower garden is = 9 m
The width of a flower garden is = w
The area of a flower garden > 45 sq. m
The area of a flower garden = l * b
l * b > 45
9 * b > 45
the width should be more than 5 m. So it can be 6,7 ...
Which of the following sets of numbers could represent the three sides of a right
triangle?
Answers
Answer:
(45,60,75)
Step-by-step explanation:
Because 45^2 + 60^2 = 75^2
5625 = 5625
How is 5/10, 5/100, and 5/1,000 related as decimals?
Answers
Answer:
5/10 --> 0.5
5/100 --> 0.05
5/1000 --> 0.005
Answer:
They have ths at the end
Step-by-step explanation:
tenths hundreths thousandths
If f(x) = 3x+5 solve for x when f(x) = 11
Answers
Answer:
2
Step-by-step explanation:
It is saying that both equations equal each other, as they both equal f(x). So we just move each of the factors to equal each other. Like 3x+5=11. There you just subtract the 5 from both sides to get 3x=6, and then divide both sides by 3 to get x=2.
Answer:
x=2
Step-by-step explanation:
f(x)=3x+5
11=3x+5
11-5=3x
6=3x
x=6
3
x=2
hope it helps.
What are the x- intercepts of the quadratic function f(x) = x² -5x + 4
Answers
First factor the equation
(x-1)(x-4) = 0
Zero product property
The x intercepts are 1 and 4
which expression is equivalent to 4(x+7)
Answers
Answer:
4x + 28
Step-by-step explanation:
Here, what you need to do is multiply 4 by x, and then 4 by 7. It's really just the distributive property doing its work.
4(x + 7)
(4 * x) + (4 * 7)
4x + 28 is the new expression.
I need help please help me!!!!!
Answers
Answer: B & D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
finding the cost is basically just taking the initial cost of the cereal and adding it to the percent times the initial cost.
D works because 100% of the initial cost of the cereal is still the initial cost of the cereal, so just add 15% to that 100%, and that is represented by 1.15 in decimal form.
Lennyn buys a 15-pound bag of potatoes for $3.71. To the nearest cent, how much is 1 pound of potatoes?
Answers
Answer:
3.71/15= 0.24733
1 lbs of potatoes= 0.25 cents
Can someone help me with questions 5&6 please
Answers
Answer:
5) B. -6
6) A. 2/3
Step-by-step explanation:
take two points (3, 2) and (12, 8) and use the equation y2- y1 / x2 - x1 to find the slope
(8-2) / (12-3)
6/9 simplified to 2/3
60 people attend a game night. Everyone chooses to play chess, a two-player game, or Uno, a
four-player game. All 60 people are playing either chess or Uno
A. Complete this table showing some
possible combinations of the number
of each type of game being played:
Answers
Answer:
14-8
12-9
0-15
2-14
Step-by-step explanation:
Combinations for different rows will be, 14 - 8, 12 - 9, 0 - 15, 2 - 14.
Given in the question,
Total number of people = 60Number of players who can play chess = 2Number of players who can play Uno = 4Let the number of chess games played = x
And number of Uno games played = y
Therefore, equation for this situation will be,
2x + 4y = 60
For the 1st row given in the table,
If y = 8,
2x + 4(8) = 60
2x = 28
x = 14
For the 2nd row of the table,
If x = 12,
2(12) + 4y = 60
4y = 36
y = 9
For 3rd row of the table,
If y = 15,
2x + 4(15) = 60
x = 0
For 4th row of the table,
If x = 2,
2(2) + 4y = 60
4y = 56
y = 14
Therefore, combinations for different rows will be, 14 - 8, 12 - 9, 0 - 15, 2 - 14.
Learn more,
https://brainly.com/question/14365989
Question 19 of 25
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply
A.0
B.-7
C.18
D.-25
Answers
PLEASE HELP 100 POINTS
write an equation of the horizontal line that passes through (-7,-10)
Answers
Answer:
y + 10 = 0
Step-by-step explanation:
Slope of horizontal line is zero (0)
m = 0
By point slope form of a line.
[tex]y-y_1 =m(x - x_1) \\ \\ y - ( - 10) = 0 \{x - ( - 7) \} \\ \\ y + 10 = 0 \{x + 7\} \\ \\y + 10 = 0 \\ \\ [/tex]
Answer:
y = -10
Step-by-step explanation:
Answer please!!!!!!!!!!!!!!!!
Answers
Answers:
The figure has 0 lines of symmetry. The figure has a 0 degree angle of rotation.
Hope this helped! :)