The angle measurements in the diagram are represented by the following expressions
Answers
Answer:
∠ B = 126°
Step-by-step explanation:
∠ A and ∠ B are alternate angles and are congruent , then
8x + 78 = 2x + 114 ( subtract 2x from both sides )
6x + 78 = 114 ( subtract 78 from both sides )
6x = 36 ( divide both sides by 6 )
x = 6
Then
∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°
Related Questions
The graph of f(x) and g(x) are shown below
If f(x) = (x + 7)?, which of the following is g(x), based on the translation?
O g(x) = (x + 9)2
O g(x) = (x + 5)2
O g(x) = (x + 7)2 + 2
O g(x) = (x + 7)2 - 2
Answers
Answer:
c
Step-by-step explanation:
how do you solve this
Answers
Answer:
See below:
Step-by-step explanation:
So, the first step to solving the problem is to find out what type of triangle it is
and what rule of goemetry we can use to solve it.
Finding What Theorem We Can Use
So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.
One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:
[tex]<ABC= <ACB[/tex]
Since we know this rule, we can solve for the equation.
Solving
We can solve for this by using two things that we know:
+ Sum of all angles in a triangle is 180 degrees.
+ Bottom two sides are congruent.
Since we know that, we can solve for the answer:
[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]
After solving, we know that x is 50 degrees!
Cheers!
(Feel free to comment a question if you didn't understand something!)
3(11-2x)=27
solve the equation
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf3(11 - 2x) = 27[/tex][tex]\sf33 - 6x = 27[/tex][tex]\sf - 6x = 27 - 33[/tex][tex] - 6x = - 6[/tex][tex]x = - 6 \div - 6[/tex][tex]x = 1[/tex]Value of x is ~
[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]
[tex]\mathrm{✌ \: Kaul ~✌}[/tex]
Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.
Answers
Answer:
200.52 in^2
Step-by-step explanation:
to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.
that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.
Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.
Hope this helped if it did please give me brainliest it helps me a lot. :)
Hope this helped!
4/5 x 2/35 I need help pls!
Answers
Answer: 8/175
Step-by-step explanation:
Answer: 8/175
Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.
4x2=8
35x5=175
How many sides does a regular polygon have if each interior angle measures 176^{\circ}
∘
Answers
Answer:
90 sidesStep-by-step explanation:
There is a relationship between number of sides and interior angle measure of regular polygons:
S = 180(n - 2), where S- sum of interior angles, n - number of sidesWe have now:
176n = 180(n - 2)176n = 180n - 3604n = 360n = 90It's equilateral polygon
Sum of interior angles=176n.n is no of sides
[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]
[tex]\\ \sf\longmapsto 180n-360=176n[/tex]
[tex]\\ \sf\longmapsto 180n-176n=360[/tex]
[tex]\\ \sf\longmapsto 4n=360[/tex]
[tex]\\ \sf\longmapsto n=4[/tex]
A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = x + 3
Step-by-step explanation:
Given: (6,9) (14, 17)
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]
slope, m = 1
Equation of line ⇒ y=mx+b
y = 9 , x = 6 , m = 1, b = ?
9 = 1*6 + b
9 = 6 + b
b = 9 - 6 = 3
Therefore, the equation of line will be:
y = 1x + 3
y = x + 3
Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.
Answers
Using compound interest, it is found that Blake receives an annual rate of 4.27%.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.Ivan's parameters are given by:
Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.Hence:
[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]
[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]
Blake's parameters are given by:
Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]Thus:
[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]
These amounts are equal, hence:
[tex]A_i(t) = A_b(t)[/tex]
[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]
[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]
[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]
[tex]0.12367872103r = 0.01057023172 [/tex]
[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]
[tex]r = 0.0854[/tex]
Blake's rate is:
[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]
Blake receives an annual rate of 4.27%.
A similar problem is given at https://brainly.com/question/24507395
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answers
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
What is the slope of the line y=5-4x ?
Show your work
Answers
Answer:
-4
Step-by-step explanation:
The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.
Answer:
Slope = -4
Step-by-step explanation:
The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.
What is the slope for M(4,-8 negative) N(6,-1 negative)
Answers
Answer:
m=7/2
Step-by-step explanation:
HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.
Fill in the values to complete the table.
45 points!!! help me please
Answers
Put 62%, 0.71, 0.8, 5/8 in ascending order
Answers
Answer:
0.62 < 5/8 < 0.71 < 0.8
That’s it in ascending order
0.8 > 0.71 > 5/8 > 0.62
That’s it in descending order
Step-by-step explanation:
Answer:
62%, 5/8, 0.71, 0.8
Step-by-step explanation:
62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8
PLEASE HELP ME I REALLY NEED HELP!!
Answers
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
4^2+ 4^2=c
16+16=32
[tex]\sqrt{32}[/tex]
=5.65685424949
Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Answers
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
Read more about probabilities at:
https://brainly.com/question/11234923
grace was born in 1995. how old will she be in 2027
Answers
Answer:
12
Step-by-step explanation:
2007 - 1995
write the phrase as a expression.
3 fewer than 8
Answers
Your answer should be 3 < 8
When considering a normal distribution of scores, what percentage of scores is equal to or below the mean
Answers
Answer:
50%
Step-by-step explanation:
If the distrubution is normal
and mean is the average score
that means that half of them should be equal to or below the mean
and the other half is equal to or above the mean
The amount of workers working on a task varies inversely as the amount of time it takes to finish the task. If 10 people can finish a task in 2 weeks, how many days will it take for 15 people to complete the same task?.
Answers
The number of days it would take 15 people to complete the task is 9.1 days.
The formula used to represent inverse proportion is:
y = [tex]\frac{k}{x}[/tex]
y = dependent variable x = independent variable k = constant of proportionalityThe information given in the question can be represented with:
2 = k/10
k = 20
The number of weeks it would take 15 people to complete the same task:
20 / 15 = 1.3 weeks = 9.1 days
A similar question was answered here: https://brainly.com/question/19427172
Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2
Answers
Answer:
B.
Step-by-step explanation:
That would be y = (x +10)^2.
Please help me with this!! - Solve: 5 - 2x < 7
A) x < -1
B) x > -1
C) x < -12
D) x > -12
Answers
Answer:
B
Step-by-step explanation:
Flip the 5 over to the other side making it a negative so -2x<-5+7. we the flip the sign because the inequality is a negative so -2x>-5+7. We now have to get rid of the negative 2 by dividing -2 from -5+7. That would give us our answer x>-1
Is the function f x
2x4 + 4x2 – 1 is an even function. Prove it algebraically
Answers
Answer: The function is even.
Step-by-step explanation:
x= 0.5 AND x -0.5 will give you the same result for y.
Brainliest plz
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answers
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
Help.....Me...........PLEASE
Answers
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?
Answers
Step-by-step explanation:
The price of machine=$50000
depreciates rate (R )=1/4×100%
=25%
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answers
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest
Someone plz help me :(
Answers
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answers
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy
Answers
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
10 / 1.25
8
