Find the values of x and y. Justify your answers by stating the postulates, theorems, or definitions used for each step.
Answers
Answer:
Step-by-step explanation:
10) From the diagram you can see that the diagram at the right hand side is am isosceles triangle. An isosceles triangle is triangle that has its two base angles equal. Hence
x = 75°
Reason: Base angle of an isosceles triangle are equal.
To get y:
First we need to find the third angle of the isosceles triangle. Let's take the angle as p
Since sum of angle in a triangle is 180°, then
p+ 75 +x = 180
p+75+75 = 180
p+150=180
p = 180-150
p = 30°
To get y:
Know that the y + p = 90° (right angled)
y + 30 = 90
y = 90-30
y = 60°
Hence x = 75° and y = 60°
b)Note that the triangle in the middle is an equilateral triangle. The sum of angle in a triangle is 180°
Hence all the angles are 60°
To get x;
Sum of angle on the straight line is expressed as;
40°+60°+x° = 180°
100°+x = 180°
x = 180°-100°
x = 80°
Also since the lines are parallel, the angle at the right corner of the triangle is also 40° (corresponding to that angle at the corner of the first triangle)
To calculate y;
Sum of angle in the triangle at the right is 180° hence;
x+y+40 = 180
80+y+40=180
120+y = 180
y = 180-120
y = 60°
Hence the value of x and y are 80° and 60° respectively.
Related Questions
Help????
I have to turn this innn
Answers
Answer:
The answer is -12
Step-by-step explanation:
Because if X=3 and it was -X4 times then it is 3x4 which equals 12 then add the negative back to the answer you get -12
Answer:
The answer is -81
Step-by-step explanation:
..........
solve for b: 8ab=c thanks (:
Answers
Answer:
You must move the a and 8 to the other side of the equation. Just divide both sides by 8a.
B = c \ 8a.. c over 8a
The value for b is c/8a.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
8ab=c
Now, solving for b
8ab= c
ab= c/8
or, b = c/8a
Hence, the value for b is c/8a.
Learn more about Equation here:
https://brainly.com/question/29657983
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You are so brainly right now.
Answers
Answer:
I know right
Step-by-step explanation:
YEAH I GUESS SO WANNA PLAY AMONG US
What is the value of x in the equation 3x - y = 18, when y = 27? 5 7 0 45 63
Answers
Answer:
x=15
Step-by-step explanation:
3x-27=18
3x=18+27
3x=45
x=45/3
x=15
Answer:
ITS 7
Step-by-step explanation:
I got the other ones wrong and i checked what was the correct answer and it said it was 7
Find the volume of the region bounded by z=12−y,z=y,y=x2, and y=6−x2. (Use symbolic notation and fractions where needed.)
Answers
Answer:
The volume V of the region = 80
Step-by-step explanation:
The objective is to find the volume of the solid region bounded by z = 12 - y
Given that the portion of solid between the planes z = 12 - y and z = y; over the region R in the xy - plane bounded by y = x² and y = 6 - x²
Thus; R = { (x,y)/-2 ≤ x ≤ 2, x² ≤ y 6 - x² }
Then the volume is computed as follows:
[tex]V = \int \int_R [(12 -y) -y] \ dy. dx[/tex]
[tex]V = \int^2_{-2} \int ^{6-x^2}_{x^2} (12-2y) \ dy \ dx[/tex]
[tex]V = \int^2_{-2}[ (12y-y^2]^{6-x^2}_{x^2} \ dx[/tex]
[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-x^2-x^2] - [(6-x^2)^2-(x^2)^2] \end {bmatrix} \ dx[/tex]
[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-2x^2] - [36-12x^2]] \end {bmatrix} \ dx[/tex]
[tex]V = \int^2_{-2} \begin {bmatrix}{ 72 -24x^2-36+12x^2 \end {bmatrix} \ dx[/tex]
[tex]V = \int^2_{-2} [36-12x ^2] \ dx[/tex]
[tex]V = \begin {bmatrix} 36x - \dfrac{12x^3}{3}\end {bmatrix}^2_{-2}[/tex]
[tex]V =2 \begin {bmatrix} 72 - \dfrac{96}{3}\end {bmatrix}[/tex]
V = 80
if jeremiah has a course average score between 80 and 89, he will earn a grade of B in his history class. He has four previous exam scores of 69, 78, 81, and 92. The final exam score has twice the weight of each of the other exams. What range of scores on the final exam will earn Jeremiah a B in the course?
Answers
Answer:
The range of scores that can earn Jeremiah a B in the course is 80 - 100
Step-by-step explanation:
Average = total scores/number of exams
For an average of 80, considering the final score has twice the weight of the previous exams;
Note: since the final score has twice the weight of previous exams, it is considered a double score and counted twice
Let the lowest final score for a B grade be y
80 = (69 + 78 + 81 + 92 + 2 * y)/6
80 * 6 = (320 + 2y)
2y = 480 - 320
y = 160/2
y = 80
Let the highest final score for a B grade be z
89 = (69 + 78 + 81 + 92 + 2 * z)/6
89 * 6 = (320 + 2z)
2z = 534 - 320
z = 214/2
z = 107
Since, the highest score in the exam cannot exceed 100,
Therefore, the range of scores that can earn Jeremiah a B in the course is 80 - 100
The net of a triangular prism is shown.
What is the surface area, in square inches, of the triangular prism?
Answers
Answer:
The surface area would be 198² in.
Bob throws a fair four-sided die, after which Alice throws a fair and independent six-sided die. What is the probability that they obtain the same number?
Answers
Answer: 1/6.
Step-by-step explanation:
The possible outcomes of Bob are {1, 2, 3, 4}
The possible outcomes of Alice are {1, 2, 3, 4, 5, 6}
Notice that the outcome space of Bob is included in the outcome space of Alice.
Now, Bob rolls his dice and gets an outcome between 1 and 4, let's suppose that the outcome is a 2.
Now, Alice needs to roll a 2 in her 6-sided dice.
The 2 appears one time, and there are 6 possible outcomes:
The probability will be equal to the probability for each number, this i:
P = 1/6.
And will be the same for any outcome in Bob's roll, so the probability that they obtain the same number is 1/6.
Find the sum of 2 1/9 + (-2/9) + 3 5/9
Answers
Answer:
5 4/9
Step-by-step explanation:
Answer:
Exact Form:
49 /9
Decimal Form:
5. 4 repeating
Mixed Number Form:
5 4 /9
Step-by-step explanation:
Please help with question 1 im confused
Answers
Answer:
Subtract 9m from both sides of the equation.
Step-by-step explanation:
Where d you like to go
Answers
Answer:
the park
Step-by-step explanation:
Answer:
Your mom's house
Step-by-step explanation:
HELP WILL GIVE BRANLIEST AND EXTRA POINTS! Please give an explanation
Answers
Answer:
C. 82/3 is the correct answer
Step-by-step explanation:
A. √27 is incorrect because it is equal to 5.2
B. 5^2 is incorrect because it is equal to 25
D. √602 is incorrect because it is equal to 24.5
soooo...
The only correct answer is C. 82/3 because it equals 27 1/3 or 27.3
Hope this helps!
there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run
Answers
Answer:
Riley ran 5 miles (26400 / 5280= 5)
Step-by-step explanation:
5280 times 5 equals 26400.
Answer:
5 miles
Step-by-step explanation:
26400/5280=5
What i te value of x in this equation 4x = 5x - 15?
Answers
Answer:
15
Step-by-step explanation:
[tex]4x - 5x = - 15[/tex]
[tex] - x = - 15[/tex]
[tex]x = 15[/tex]
i think this is the answer
5x-4x= 1
1x divide by 15 = 15
hope this helps
Angle KLM and angle MLN are a linear pair.
Ray LR is to be added to the diagram so that it is
opposite ray LM. Which is true about angle RLN that
would be formed?
M
к
CL
N
Angles RLN and MLK would be vertical angles.
Angles RLN and MLN would be vertical angles,
Angles RLN and KLM would be a linear pair.
O Angles RLN and KLN would be a linear pair.
Answers
Answer:
Angles RLN and KLM would be a linear pair.
Angles RLN and MLK would be vertical angles.
Vertical angles are formed when their sides share the same lines. RL shares the same line with LM and NL shares the same line with LK (see the attached diagram), so that means both angles form a vertical pair.
Edge exam 2022
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
y= 4x+12
Step-by-step explanation:
Slope of this line: 4
So we can write in point slop form: y+1= 4(x+3)
Simplify = y+1=4x+12
More simplifying: y=4x+12
This is the answer
8w - 4 = 28
It's a two step equation
Answers
Answer: w = 4
Step-by-step explanation:
8w - 4 = 28
+4 = 32
8w = 32
/8 /8
w = 4
Answer:
w = 4
Step-by-step explanation:
Given: 8w - 4 = 28
Add 4 to both sides: 8w = 32
Divide both sides by 8 to isolate w: w = 4
HELP !! It’s due in 30 minutes!!
Answers
Answer:
T< 11,3 > / a translation by 11 units to the right and 3 units up :]
Answer:
11 units to the right & 3 units down.
Help pleasee! I need to find the domain and range
Answers
Answer:
Domain: (-∞, -4) U (-4,∞)
range: (0,∞)
PLEASE HELPPPPP MEEEEEEEE!!!!!! 50 POINTS!!!!!!!!!! PLEASEEEEEEEEEE
Answers
Answer:
1) (2,1)
2) (-2,3)
3) (0,3)
4 (0,1)
5) (-1,-1)
6) (-1,-3)
A bead store buys beads at wholesale prices to sell them at a 75% markup. If a strand of beads costs the store $9.14, what is the selling price for a strand of beads
Answers
Answer:
it would sell for $15.99
Step-by-step explanation:
9.14(1.75) = 15.99
A nursery has two hundred 7-gallon palm trees to sell, consisting of Coconut Palm trees, x, Saw Palmetto Palm trees, y, and Christmas Palm trees, z. Coconut Palm trees
sell for $75 each, Saw Palmetto Palm trees sell for $45 each, and Christmas Palm trees sell for $30 each. A developer purchases all of the nursery's palm trees for a total
price of $12,300. The nursery has three times as many Saw Palmetto Palm trees as Christmas Palm trees. Write a system of linear equations to represent this situation.
A 2+y+z=7
75x + 45y + 30z = 12,300
y = 32
B. x+y+z= 12,300
75x + 45y + 30z = 200
y = 32
C. 2 + y + z = 200
752 + 45y + 30z = 12,300
y = 32
D. 2+y+z= 200
753 + 45y + 30z = 12,300
z=3y
is it a, b,c or d
Answers
Answer:
The answer is option D. Note: the option is not properly formatted
D. x+y+z=200----------------1
75x+45y+30z=12300-------2
z=3y---------------3
Step-by-step explanation:
In this problem, we want to model the expression to represent the situation
let the numbers of trees be
Coconut Palm trees be x,
Saw Palmetto Palm trees be y, and
Christmas Palm trees be z.
total trees =200
x+y+z=200----------------1
also costs are
Coconut Palm trees= $75 each
Saw Palmetto Palm trees = $45 each
Christmas Palm trees =$30 each
cost of all trees =$12,300
75x+45y+30z=12300----------------------2
z=3y---------------3
The system of equation is
x+y+z=200----------------1
75x+45y+30z=12300-------2
z=3y---------------3
Ben bought a 2 pizza for $20.40, and a brownie for $5.40, and a chocolate milkshake for $6.50 with extra chocolate, he also payed $10 for tips. He had $60 to spend, how much did he have balance?
Answers
Answer:
$17.70
Step-by-step explanation:
Total money he has - $60
2 pizzas, a brownie = $20.40 + $5.40 = $25.80
A milkshake with $10 tips = $6.50 + $10 = $16.50
Totally = $25.80 + $16.50 = $42.30
Balance - $60 - $42.30 = $17.70
He had $17.70 balance
Hope you understand
:-)
I need help with this question ASAP thank you?
Answers
Answer:
D. 3/4
Step-by-step explanation:
In order for the transformed line to be less steep than f(x), it must have an "a" value less than the slope of f(x). The slope of f(x) is 1, therefore, the only number less than 1 is 3/4.
The largo middle school track team needs new uniforms. The students plan to sell push you tigers (the school mascot) for $5. The students find three companies online that sell stuffed mascots.
A.which company has the lowest cost per tiger?
B. If they use the company, how much profit will the students make for each tiger sold?
P.s-I REALLY NEED HELP!!!! This question is worth 60 points
Answers
Answer:
Company C has the lowes cost per tiger at $2.74. (Divide the prices by the number of stuffed animals, in this case, $41.10/15)
$2.26 would be their profit.
Step-by-step explanation:
To find how much money they have to pay for each stuffed animal, you have to divide the prices by the number that would be sold. For example, for Company C, it would be $41.10 divided by 15. When you do that with all the companies, you'll find the Company C is the cheapest.
You find their profit by subtracting $2.74 from $5. They sell it for $5, but they did have to use $2.74 to buy the stuffed animals. $5 - $2.74 = $2.26
Hope this helps! ^-^
Company C has the lowest cost per tiger.
Students will make a profit of $2.26 for each tiger sold.
What is division?The division is the process of dividing a number by a given number.
Note that company A offers 12 tigers for $33.24, therefore, divide 33.24 by 12 to get the cost of one tiger,
Cost of one tiger in company A = $33.24/12 = $2.77
Similarly,
The cost of one tiger in Company B = $44.80/16 = $2.8
The cost of one tiger in Company C = $41.10/15 = $2.74
Clearly, company C has the lowest cost per tiger.
Now, students will buy tigers from Company C for $2.74 per tiger and sell them for $5, therefore, the profit from selling one tiger will be 5-2.74=2.26.
To learn more about division click here:
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two apples and 5 bananas cost 4.20
three apples and seven bananas cost 5.95
Answers
ANSWER THIS PLS (A.) how is your day (B.) what's your beast threat/roast
Answers
Answer:
Some one called me the b word and I said at least I’m cute dog you look like a frog
Step-by-step explanation:
Answer:
My day is good, thank you! My best roast for thanksgiving is chicken on top of veggies!
Step-by-step explanation:
Please help me Study the Venn diagram.
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Which statement is correct?
–5 cannot be written as a fraction, so it is not rational.
–5 is a rational number, but not an integer.
–5 is a counting number, so it is also a whole number.
–5 is an integer, but not a whole number.
Answers
Answer:
Its a counting number and a whole number so thirdd one
Step-by-step explanation:
Answer:
D-5 is an integer, but not a whole number.
got that right on edge!
Step-by-step explanation:
hope this helps:)
418.42 plus 13.587 i do not know the answer and I am not very good at math because of family problems. thats not the point but i need help.
Answers
Answer:
432.007Step-by-step explanation:
418 + 13 = 431
0.42 + 0.587 = 1.007
431
+ 1.007
432.007
Hope this helps! <3
6. At 7:00 a.m., the temperature outside was 10°F below zero. By noon, it
rose by 17°F. At 6:00 p.m., the temperature dropped by 6°F. What was the
evening temperature? *
0 -33°F
O 13°F
O 1°F
O 33°F
Answers
Answer:
1° F
Step-by-step explanation:
10° below zero is equivalent to -10°.
Then if you add 17° to that, then you get 7°.
Then subtract 6°, giving you a final answer of 1° F
