Find x and y. Give reasons to justify your solution.
AB, CD , and EF are straight lines.
Answers
Answer:
x = 15.6°, y = 14°Step-by-step explanation:
From the picture we can see that:
∠COE and ∠DOF are vertical angles as formed by intersection of lines CD and EF, so these angles are equalMO⊥AB as ∠MOB = 90°, therefore ∠AOM = 90°Considering the above we get below to find x:
12° + 2x + 3x = 90°5x = 90° - 12°5x = 78°x = 78°/5x = 15.6°And using this to find y:
48° + 3y = 90°3y = 90 - 483y = 42°y = 42°/3y = 14°Related Questions
What is the vertex of the graph of the function f(x) = x2 + 6x + 9?
0 A. (-3,0)
B. (0, -3)
C. (0, 3)
O D. (3, 0)
Answers
Pls mark brainliest
The vertex of the given quadratic function is (-3, 0).
What is vertex form of a quadratic equation?The vertex form of a quadratic equation or function is [tex]f(x)=a(x-h)^{2} +k[/tex].
Where,
(h, k ) is the vertex
And, a is constant.
According to the given question
We have a quadratic function
[tex]f(x) = x^{2} + 6x + 9[/tex]
The above function can be written as
[tex]f(x) = x^{2} +2(3x) +9[/tex]
⇒[tex]f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9[/tex]
⇒[tex]f(x) = (x+3)^{2} -9+9[/tex]
⇒[tex]f(x) = (x+3)^{2} + 0[/tex]
Comparing the above equation with the standard vertex form of quadratic function we get
h = -3 and k = 0
Hence, the vertex of the given quadratic function is (-3, 0).
Thus, option A is correct.
Find out more information about vertex form of a quadratic equation here:
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Table function rule of y=4x+1
Answers
Answer:
y=5
Step-by-step explanation:
y equals 5 because x is 1 when you get it alone
Lee combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make a fruit bowls. He pours the fruit equally into 2 bowls, and has 1.37 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answers
Answer:
7.63 ounces of strawberries + 5.26 ounces of blueberries
7.63 + 5.26= 12.89 - 1.37 left over = 11.52 to be split between 2 bowls equally
11.52/2 = 5.76 per bowl
5.76 ounces of fruit in each bowl.
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given,
strawberries = 7.63 ounces
blueberries = 5.26 ounces
Put the fruits into two equal bowls in equal amounts
let the amount be x
remaining amount = 1.37 ounces
According to the statements, we can state that,
2x + 1.37 = 7.63 + 5.26
2x = 11.52
x = 5.76
Therefore, the two bowl contains 5.76 ounces of fruit each.
Read more about mathematical expression here:
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D 145
which expression is equivalent to 5(4x + 3) - 2?
А
187 + 15
B
187 + 3
C 7x + 8
D 2r + 8
Answers
Answer:
C
Step-by-step explanation:
No option is equal to the expresion, but.C is similar.
Which compound inequality is represented by the graph?
GU
-5 -4 -3 -2 -1 0 1 2
3
4 5
-35x<1
-3
O xs-3 or x > 1
O x<-3 or 21
Answers
The compound inequality represented by the graph is -3 ≤ x < 1
From the graph, we have the following highlights
The line number starts from -3 and ends at 1The dot at 3 is closed, while the dot at 1 is openedThe above means that:
-3 is included in the inequality values, while 1 is not.
Hence, the compound inequality represented by the graph is -3 ≤ x < 1
Read more about inequalities at:
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what is the answer for this question?
Answers
Answer:
18
Step-by-step explanation:
Hope this helps
eleven times onennumber is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers
Answers
Answer:
I'm pretty sure its 11 and 14
Step-by-step explanation:
Sorry if i'm wrong or can't help more.
Find the value of m and YZ if Y is between X and Z.
Answers
Step-by-step explanation:
we know that xy+yz=xz
so if we fill in what we know
5m+1m=25
solve from there
Nine students were absent on the first day of a painting class and 12 students on the second day of the class. If p is the percent increase in the number of students who were absent, which proportion can be used to calculate p?
Answers
Answer:
ITS A
Step-by-step explanation:
Took DA TEST
Answer:
a
Step-by-step explanation:
Is the following formula recursive or explicit? *
Uo = 13
Un = Un-1 - 3
Answer plz
Answers
Answer:
Recursive.
Step by step explanation:
N is the number of the term in the sequence, so Un-1 is the term previous to Un and since you’re subtracting 3 from the previous term, that means it’s recursive
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Answers
Answer:
144
Step-by-step explanation:
300 divided by 13
Given f(x) = 3x^2 - 6x + 2 find f(3)
HELP PLEASE ‼️‼️‼️
Answers
Answer: 47
Step-by-step explanation:
You simplify it giving you 47
Answer:
f(3)=11
Step-by-step explanation:
3(3)^2=27
-6(3)=-18
27-18+2=11
round 314,759 to the number of the underlined digit
Answers
Answer:
Um I think that it might be 315,000 if that's what they mean
For each expression, x = 9 and y = 3.
2x · 4y - 10
a. 12
b. 10
c. 20
d. 6
Answers
Answer
the answer is C. 20 :)
Step-by-step explanation:
hope it helps!
a unit rate is a rate in which the unit in the denominater is?
Answers
Answer: a unit rate is a rate with 1
Step-by-step explanation:
Someone please help me with this. Btw this is 6th grade math
Answers
Answer: Ratio is N/S = 4/1 (simplest form), two equations: N=4S and S=1/4N
Step-by-step explanation:
Ratio is 4:1. 4 nails per shelf
Use the formula an = aj(r)a- to write a formula for the geometric sequence below.
3, 6, 12, 24, 48, ...
Answers
Answer:
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Raquel can type 63 words every minute. Rick can type 73 words every minute. How many more words can Rick type than Raquel in 135 minutes?
Group of answer choices
Answers
Answer:
1350 words
Step-by-step explanation:
8505 is the amount of words raguel can type in 135 minutes. 9855 is the amount Rick can type in 135 min. 9855-8505=1350 which is the answer
What is 1 3/8 minus 5/8
Answers
Answer:
-4 (-2/8)
Step-by-step explanation:
1-5=(-4)
3-5=(-2)
hope this helps :3
Answer:
3/4
Step-by-step explanation:
Identify the set of numbers that best describes the situation. Explain your choice.
The weight of a person in pounds.
129.3lb
please help will give brainiest
Answers
Answer:
Step-by-step explanation:
it's a rational number because it can't be a whole number with the decimal point and it can't be an integer because it's not a negative or positive number it also can't be an irrational number because an irrational number isn't a terminating or repeating decimal its a rational number because it's a terminating number
Why do candidates want to win states
like Texas, Florida, and New York?
Answers
Points A, B, and C are collinear. Point B is between A and C. Solve for x
AB= 3x, BC= 2x - 2 , and AC= 18. Find x.
Answers
Answer:
x=4
Step-by-step explanation:
You set the equation up like this
3x+2x-2=18
5x-2=18
5x=20
x=4
A farmer stores bags of seed in 4 rows. There are 4 bags
in each row. How many bags of seed are there in all?
Answers
Answer:
16 bags in all
Step-by-step explanation:
4x4=16
Answer:16
Step-by-step explanation:
4*4 or 16/4 = 16
All of the following statements are true, except . . .
The product of a and c is negative.
The product of b and c is positive.
The product of b and 0 is 0.
The product of a and b is positive.
Answers
Answer:
The product of b and c is positive.
Step-by-step explanation:
b is negative as its less than 0
c is > 0 and is thus positive
multiply these would be negative result
Answer:
The product of b and c is positive.
Step-by-step explanation:
had this question
hard questions (for me anyway) pls help
Answers
Answer: 1. 80 2. 1/3 3. -300 4. 120 pages Equation: 0.7p = 84, p=120
what is the difference between m∠A and ∠A?
thank you so much!!
Answers
Answer:
The measure of an angle is a numerical value. <A just refers to the angle itself.
Step-by-step explanation:
A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Answers
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?
Answers
Answer:
224,000
Step-by-step explanation:
annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer
Caroline walks 912 inches per second. As unit rate
Answers
Answer:
specify please
Step-by-step explanation:
Answer:
I have been trying to get this answer for the longest
Step-by-step explanation:
PLEASE HELPPP ASAP 50 POINTS !!!!!!!!!!!!!!!!!!! PIC BELOW