A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 96° and angle
z
= 52°.
Work out
x
Answers
Answer:
x = 136°
Step-by-step explanation:
We can use a theorem to help us.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
For exterior angle x, the remote interior angles are z and <CBD.
From the theorem, we get this equation.
x = z + m<CBD
We know z = 52°.
We need to find m<CBD.
Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.
m<CBD + y = 180°
m<CBD + 96° = 180°
m<CBD = 84°
x = z + m<CBD
x = 52° + 84°
x = 136°
Answer:
x = 136°
Step-by-step explanation:
∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.
[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]
∠BDC = z = 52° and ∠DBC = B = 84.
Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.
[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]
The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.
[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]
Angle ∠BCE = x = 136.
Related Questions
How many solutions does the system have ?
Answers
Parallel line don’t have any solutions
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
find 2x+5=15 Pls asap
Answers
Answer:
The answer is x=5
Step-by-step explanation:
2x+5=15
2x=10
x=5
Answer:
x=5
Step-by-step explanation:
2 times 5 equals 10
10+5=15
‼️‼️HELP PLS HELP ILL MARK YOU BRAINLEST‼️‼️
a) 75°
b) 105°
c) 52.5°
d) 180°
Answers
Answer:
52.5
Step-by-step explanation:
180-75=105
105/2=52.5
Answer:
b) 105°
Step-by-step explanation:
Determine the explicit formula for the following arithmetic sequence. Put it in the form
an
7, 12, 17, 22,...
What will the 30th term in the sequence be?
Answers
Answer:
Tn=5n+2
Step-by-step explanation:
Tn=5n+2
T30=5*30+2
T30=150+2
T30=152
The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?
Answers
Answer: 8 cups
Step-by-step explanation:
Let the cups of orange juice concentrate that he used be represented by x.
Therefore, based on the information, we can form an equation which will be:
2/5 = x/20
Cross multiply
5 × x = 2 × 20
5x = 40
x = 40/5
x = 8
Therefore, he used 8 cups of orange juice concentrate.
Tanvi's favorite holiday activity is making gingerbread houses. She always uses 7 pieces of licorice to make a window. This year, Tanvi used 56 pieces of licorice for the windows on her gingerbread house. How many windows are on tanvi gingerbread house this year
Answers
56 licorice/7 licorice per window = 8 windows
(4rxt – 8r2x + x²) – (6rx² + 5rxt – 2x)
Find the sum or difference
Please help! I’m stuck and can’t figure it out
Answers
Answer:
[tex]sum = (4 - 5)rxt - (8 + 6) {rx}^{2} + (1 + 2)x \\ = - rxt - 14 {rx}^{2} + 3x \\ \\ difference = (4 + 5)rxt + (6 - 8) {rx}^{2} + ( - 2 + 1)x \\ = 9rxt - 2 {rx}^{2} - x[/tex]
[tex] \small{ \underline{{ \blue{becker}}}}[/tex]
What is the probability of a customer buying a vegetable that is not an onion at this store?
79%
81%
90%
19%
Answers
That’s because it’s the middle probability it can’t be others because they are too high it too low
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answers
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answers
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
Answers
t = u - 2
Square both sides to eliminate the square root.
t + 2 / u = 1
Multiply both sides by u to remove it from the left side of the equation that has t
t + 2 = u
(When the coefficient is 1, you don’t write it)
Subtract 2 from both sides to make t by itself
t = u - 2
I hope that this is what you were asking for, I’m sorry if it wasn’t
Question:
Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings accounts?
(PLEASE ANSWER IN YOUR OWN WORDS!)
Answers
Answer:
Step-by-step explanation:
The bank uses money deposited into savings and other accounts for investments and loans. They need to ensure that the money won’t be withdrawn so they have use of that money.
Mrs. Murphy's students measured their pencils. She made this line plot to show the data. Mrs. Murphy told the students that they should get a new pencil if their pencil length was 4 inches or shorter. How many students will need new pencils?
Answers
Answer:
8 students
Step-by-step explanation:
Line Plot is a graph that presents data through number line. Here, possible values of considered variable are on number line, & their frequency is denoted by number of dots or crosses above.
As per given line plot for pencils height : pencil height 3 with 3 students, pencil height 4 with 5 students , pencil height 5 with 3 students
So, students having pencil height < 4, ie = 3 & 4 , are 3 + 5 [ total 8 ] students]
Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
Answers
In the figure below, points D, E, and F are the midpoints of the sides of LABC,
Suppose DF=34, AC=48, and BC=78.
Find the following lengths.
Answers
Answers:
DE = 39AB = 68BE = 34=============================================================
Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
-------
DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
-------
BE = 34 for two reasons
Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent. E is the midpoint of AB, so BE is half as long as AB--------
We don't use the info that AC = 48.
divisor of number
6?
Answers
Answer:
1 2 3 6
Step-by-step explanation:
1x6=6
2x3=6
3x2=6
6x1=6
Find the value of x.
Answers
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
Change this fraction to an equivalent fraction with multiplication.
4/7 = ______
Answers
Sample Answer:
8/14
Step-by-step explanation:
This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value
4/7
4 * 2 = 8
7 * 2 = 14
8/14 = 4/7
Answer:
8/14
Step-by-step explanation:
Lauren is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client, charging a total of $201. Today, she did 5 haircuts and colored the hair of 1 client, charging a total of $287. How much does Lauren charge for her services?
Answers
cut: 43$
colored: 72$
ok so first I realized that she did 2 more cuts the 2nd day, making a difference of 201 and 287 86$. so 86/2 makes each cut 43$
43 • 5 = 215, and 287 - 215 = 72. so each colred hair is 72$
Convert 12/5into a percent
Answers
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...HURRY!!
In an isosceles triangle, the measure of a base angle is 65º. Find
the number of degrees in the measure of the vertex angle.
Answers
Answer:
Your answer is 50 degrees.
Step-by-step explanation:
An isosceles triangles base angles are equal.
A triangle's angles add up to be 180 degrees.
65+65+x = 180
130+x = 180
x = 50
Vertex angle is 50⁰.
What are triangles?A closed two-dimensional figure with three sides, three angles, and three vertices is called a triangle. The smallest polygon with the fewest sides is the triangle. A triangle can be divided into three categories based on its sides:
Scalene Triangle: Each side measures differently.
Isosceles Triangle - Different sides of a triangle are of a similar measure and the excess side has an alternate measure.
An equilateral triangle has three sides that are all the same size.
Given an isosceles triangle,
measure of base angle = 65⁰
in an isosceles triangle two angles are equal and sum of all the angles is 180⁰, the equal angles are called base angle;
let vertex angle be x , according to triangle property
sum of all the angles is 180⁰,
base angle + base angle + vertex angle = 180
65 + 65 + x = 180
x = 180 - 130
x = 50⁰
Hence the the measure of the vertex angle is 50⁰.
Learn more about triangles;
https://brainly.com/question/2773823
#SPJ
Question 5 of 23 Simplify the expression. –x(6x – 7) A. –6x2 + 7x B. 5x2 – 6x C. 6x + 7x D. –6x – 7x
Answers
Answer:
I'm not sure about the options
Step-by-step explanation:
but this is the answer when we simplify
Which graph represents the solution to the system of equations?
y = 2x + 5
y = 1/3x - 2
(See Picture)
Answers
Answer: Second answer first row
How to: Graph
Have a great day and stay safe !
What is Harry's unpaid balance?
0 $74.89
O $89.89
O $112.50
0 $127.50
Answers
Answer:
what is harry unpaid balance
0$74.89
8x6, then 11x12, 12x8 and 8x12 8x7 than add the answers together
Answers
First you do
8 times 6 which is 48
And then 11 times 2 which is 22
And then we do 12 times 8 which is 96
Since 12 times 8 and 8 times 12 is the same but different way around it’s the same thing 96 and we do 8 times 7 which is 56 add them together in column addition
need help please to pass
Answers
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
Find BDC of the geometry question.
Answers
Answer:
∠ BDC = 54°
Step-by-step explanation:
The inscribed angle BDC is half the measure of its intercepted arc , so
∠ BDC = [tex]\frac{1}{2}[/tex] × 108° = 54°
Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2
Answers
Answer:
Option D
Step-by-step explanation:
Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)
Measure of AB = 7 - 1 = 6 units
Measure of BC = 7 - 3 = 4 units
Measure of CD = 7 - 4 = 3 units
From the figure attached,
Area of the trapezoid = [tex]\frac{1}{2}(AB+CD)(BC)[/tex] [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]
= [tex]\frac{1}{2}(6+3)(4)[/tex]
= 18 square units
Therefore, Option D will be the correct option.
PLEAS EHELP!!!!!’n EXTRA POINTS AND BRAINLIEST
Answers
Answer:
Graphing inequalities on a numberline:
38 > x
The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.
10 ≤ x
This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.
28 ≤ X
The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).
16 > x
This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.
The probability for success of an event is P(A), and the probability of success of a second, independent event is P(B). What is the probability of both events occurring, in that order?
P(A) • P(B)
P(A + B)
P(A x B)
P(A) + P(B)
Answers
Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].
Hence, the correct option is A.