Answers
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
Answer:
50°
Step-by-step explanation:
( 7x + 18 )° = ( 6x - 10 )° + 38°
7x + 18 = 6x - 10 + 38
7x - 6x = 28 - 18
x = 10
m∠EFG = 6(10) - 10
m∠EFG = 50°
Related Questions
what does it mean when a negative number is in parentheses?
Answers
Usually negative numbers are in parentheses so people don't think that it is subtraction.
The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.
When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.
In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.
For example:
(-3) means negative three, which is the same as 3 but with a negative sign.
-(5 + 2) means the negative of the sum of 5 and 2, which is -7.
-x means the negative of the variable x.
In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.
Learn more about Parentheses here:
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#SPJ3
Please help lol for brainly
Answers
Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
6.1 + 13.2 = 19.2
19.3 > 16.2 ✔️
6.1 + 16.2 = 22.3
22.3 > 13.2 ✔️
13.2 + 16.2 = 29.4
29.4 > 6.1 ✔️
Write equation in slope intercept from of the line
Answers
Answer:
y= 1/2x + 3
Step-by-step explanation:
good luck lmk if u have any more questions
A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answers
Answer:
48240Step-by-step explanation:
Part one
1 mile per hour = 1.60 kilometers per hour
30 miles per hour = ?
Step 1: Set up a fraction.
The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.
Step 2: Solve
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
Cross multiply1.60 × 30 = 48
1 × k = 1
Therefore, the rate is 48 kilometers per hour.
Part 2
This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.
Step 1: Multiply the result to 5.
48 × 5 = 240
Therefore, the cyclist will travel 240 kilometers in 5 hours.
Step-by-step explanation:
First, to make everything more clear, rewrite it like this-
1 mile = 1.6km
So we have to multiply 30 (miles) by 1.6 (km)
30 x 1.6 + 48
So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.
We have to multiply 48 by 5 which equals 240
So the answer is 240km
Parallel to y= -3/4x + 1 passes through (8,5)
Answers
Answer:
y=-3/4x+11
Step-by-step explanation:
Graph the point and draw a line having -3/4 as a slope and see what the y intercept of that same line is. Then that y intercept goes after the -3/4x in the new equation.
If I have 8 apples and I give Mark 4 apples , how many apples do I have left?
Answers
Answer:
four
Step-by-step explanation:
4 take away from 8 equals 4
HELPPP!! NEED QUICK! WILL GIVE BRAINLEST!
3. National Credit Union pays 5.5% interest compounded quarterly
on special notice savings accounts. Marco Garcia deposits
$5,698.80 in a special notice savings account for 2 years.
a. What is the amount in the account after 2 years?
b. At the end of the 2 years, Marco deposits $5,000.00 in
the account. How much is in the account at the end of 2 more
years?
c. What is the total interest earned in the 4 years?
Answers
Answer:
5,698,80
Step-by-step explanation:
this is easy if you paid attention in class
Answer:
5,698,80
Step-by-step explanation:
Using easy Math Skillz
Noel bought a 10 ounce box of cereal for $1.63. What was the cost per ounce?
Answers
Answer:
0.163 per ounce
Step-by-step explanation:
please help!! For geometry
Answers
Step-by-step explanation:
m<15 = 97°
that is the answer
If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?
Answers
= 4 pages
28 pages= 28/4
= 7 hours
ANSWER
112
EXPLAINATION
28÷16 = 7
7×16 = answers
Which equation represents the
sentence, "one minus p to the
fourth power equals zero"?
OA) 1-4p=0)
OB) 4p-1=0
OC) 1-p4=0)
OD p4-1=0
Answers
Answer:
to make button connected. I am
Answer:
C
Step-by-step explanation:
This equation exactly represents the question. It has the 1- p to the 4th which will =0.
Theo worked 3 2/3 hours and earned $28.60
How much would he make if he worked 6 1/3 hours?
Answers
Answer:
He would make $49.40
Step-by-step explanation:
28.60 divided by 3 2/3 is 7.80
Multiply that by 6 1/3 to get 49.40
PLS HURRY AND HELP
Jermaine has experience as a math tutor. He earns money by tutoring his neighbors' children. He gets $20 for each student he tutors. If Jermaine does 10 groups of 2 students in one month, how much will Jermaine earn?
Answers
Answer:
$400 per month
Step-by-step explanation:
20 - per student
10 groups of 2,
so 20 students
20 * 20 = 400
$400
Answer:
$400
Step-by-step explanation:
10 groups of 2 students so multiply 10 by 2 to get the total of how many students so if he gets $20 per student you will multiply the number of students by the rate which is $20 giving a total of $400
PERIOD
DATE
NAME
Practice
Solving Equations with the Variable on Each Side
Justify each step.
1. 4k - 3 = 2k + 5
4k-3-2k = 2k +5 - 2k
2k-3 = 5
2k - 3 + 3 = 5 + 3
2k = 8
2k 8
N100
2
k=4
Answers
Answer:
K = 4
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can i pls have brainlist (crown)☺️)
Answer:
The answer is 4 or N100. Have an good day.
In a class of 40 students, 21 like dance, 24 like music and 8 like both the activities. Illustrate it in a Venn - diagram and find the number of students who don't like any of the activity.
Answers
Answer:
As follows,
Step-by-step explanation:
Giving right answer branleist
Answers
Answer:
12
Step-by-step explanation:
Since 1 unit is 1x1, we then you can just count the width (4, 4) and the height (2, 2). Then add all. Getting 12.
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
Answers
The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Recall the following:
An isosceles triangles has two sides that are congruent and a base.AAS Congruence Theorem proves that two triangles are congruent if they possess two pairs of congruent sides and a pair of non-included congruent sides.All corresponding parts of two congruent triangles are equal in measure to each other, based on the CPCTC Theorem.The isosceles triangle ABC given is shown in the image attached below.
To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.
Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.
Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Learn more about AAS Congruence Theorem on:
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The sum of a number and seven more than the number is 43. What is the number?
Answers
Answer:
18 is the number good luck
Step-by-step explanation:
18+25=43
Answer:
18,25
Step-by-step explanation:
M is the midpoint of segment AB.
AM=13x
BM=8x+10
AB=
Answers
5x = 10
x = 2
AM = 13(2) = 26
Since AM is half of AB,
AB = 26+26 = 52
AB = 52
What is one-half of one-third of three-quarters of 720?
Answers
Answer:
90
Step-by-step explanation:
3/4 of 720 is 540. 1/3 of 540 is 180. 1/2 of 180 is 90.
Answer:
90
Step-by-step explanation:
Three quarters of 720 is 540
One third of 540 is 180 and
One half of 180 is 90
So the answer is 90
Helppp I have three more
Answers
16b = 12
Divide both sides by 16
b = 12/16
Simplify 12/16 by dividing by the GCF of 12 and 16, which is 4
b = 3/4
Hope this helps!! :)
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 1,264(1.09)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Answers
Exponential functions can either represent growth or decay.
Part A:
The function is given as:
[tex]f(x) = 1264(1.09)^x[/tex]
The above function is an exponential function.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where b represents the rate.
When b > 1, then the function is increasing
By comparison:
[tex]b = 1.09[/tex]
1.09 is greater than 1
Hence, the amount of money in account A is increasing.
Part B:
Divide any two concurrent values on the table, to determine the rate of the table.
So, we have:
[tex]b = \frac{1512.50}{1375}[/tex]
[tex]b = 1.10[/tex]
By comparison:
1.10 is greater than 1.09 (the rate of account A).
Hence, account B records a greater percentage change in the amount of money
Read more about exponential functions at:
https://brainly.com/question/11464095
A. because b > 1, the function is increasing, so the amount of money in account A is increasing.
B. 1.10 is greater than 1.09, so account B has more percentage change in the amount of money
I need help with this question. 20 points ton the person who can answer the question and make it make sense.
Why do we want the two measured angles to be equal. Why is this important?
Answers
Answer:
Because if they werent the messerue ments would be screwed and u would not be able to answer some questions
Step-by-step explanation:
also it makes a right triangle if equal
What is an equation in point slope form for the line perpendicular to..
Answers
Answer:
b
Step-by-step explanation:
And since we're perpendicular to y is equal to 3x plus 9, we know the slope of the two lines that are perpendicular
K times 3 is minus 1, so k is minus 1/3,
Only b and c match. Plug in the point negative 6,5.
The answer is b.
Please answer this qusetion
Answers
Answer:
A
Step-by-step explanation:
With way one, we can easily count the tally marks, but with way 2 it becomes much harder for us to count the tallies when we are done.
Answer:
a
Step-by-step explanation:
its easy to count way 1 but way 2 is harder to count
There were 5 Easter eggs hidden at a party. Kenny found 4 of them. What percent of the eggs did Kenny find ?
Answers
Answer:
Kenny found 80% of the eggs.
Step-by-step explanation:
(4 ÷ 5) × 100 = x
0.8 × 100 = x
80% = x
Kenny found 80% of the eggs.
What is the difference in the account balances shown below? Behrooz: (-$21.00) Cody: $3.00
Answers
Answer:
-7
Step-by-step explanation:
-21.00/3.00
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
Please help me!!!!!!!!!!!! Thanks!
Answers
2nd one is 7.92
3rd one is 8.16
4th one is 9.66
i hope this helped! :)
y = 6(x – 3)2 + 4
How do I rewrite the quadratic function in standard form
Answers
Answer:
6x^2 -36x + 58
Step-by-step explanation:
expand (x-3)^2 = x^2 -6x +9
6(x-3)^2 +4=6(x^2 -6x +9) +4 =6x^2 -36x + 54 +4 = 6x^2 -36x + 58
guys pls help me!!!!!!
Answers
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]