Answers
Answer:
∠2=37°
Step-by-step explanation:
Given:
∠1=4x°
∠2=∠4 (Vertical Angle Theorem)
∠3=90°
∠4=(3x+1)°
∠4=∠2 (Vertical Angle Theorem)
∠1+∠2+∠3=180° (We use this equation in the next step)
∠1+∠3+∠4=180°
Thus, ∠2=(3x+1)°, making:
(4x)°+(3x+1)°+90°=180°
7x+91=180
7x=89
x=12
This means:
∠1=4x=4(12)=48°
∠2=3x+1=3(12)+1=37°
∠3=90°
∠4=3x+1=3(12)+1=37°
Related Questions
Evaluate 36 = (x+9) when x = 3.
O A. 3
O B. 12
O C. 21
O D. 4
Answers
36=(x+9) x=3 ( substitute)
36=(3+9) add
36=(12) multiply
36\12 = 3
What number would you use to get rid of the fractions?*
1/2+1/5x=3/10x+4/5
Answers
Answer:
10
Step-by-step explanation:
multiplying each fraction by 10 gets of the fraction form
1/2 * 10 = 5
1/5x * 10 = 2x
3/10x * 10 = 3x
4/5 * 10 = 8
- 3x - 10 = 32
X = 14
X = -14
X = -10
x =10
Answers
-3x=42
-3
X=-14
Answer: -14
Step-by-step explanation:
-3x-10=32
Since the 10 is negative you have to add 10 on the right side of the equal sign. you add 10 to the negative 10 and it cancels out and becomes zero. Then you have to add 10 to the 32 and it becomes 42. Divide the 42 by negative 3 and you get -14.
Randy Houck deposited his paycheck for $385.15, a refund check from a mail
order purchase for $125.95, and $37.20 in cash.
Answers
Answer:
The correct option is c. $548.30.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question. Please, see the attached pdf file for the complete question.
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Write the value of the 4. 6.54
Answers
Answer:
Hundredths place
Step-by-step explanation:
6 in 6.54 is ones place
5 in 6.54 is tenths place
4 in 6.54 is hundredths
plz mark me brainliest
All ratios equivalent to 24:12
Answers
Answer:
There are so many:
2:1
4:2
6:3
Help it’s due soon all help is appreciated
Answers
Find the slop line that passes through each pair of points (-6,1),(4,8)
Answers
Answer:
0.7
Step-by-step explanation:
Factor completely
w^2 + 12w -f^2+ 36
Answers
(w+6-f)x (w+6+f)
plz help me 25y−4+7−910y =
Answers
Answer:
-885y+3
Step-by-step explanation:
Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500.If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is
Answers
Answer:
20x + 45y = 9500 is the linear equation for given scenario
Step-by-step explanation:
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
From the above statement, we can frame a equation as:
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
Therefore, the linear equation for given scenario is found
Answer:
20x + 45y = 9500
yes/no: no
Solution:
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
From the above statement, we can frame a equation as:
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
If eve raises exactly $9,500, it is NOT possible for there to be 220 participants in the 5K race.
given cot A= 40/9 and that angle A is in quadrant 1 find the exact value of sec A in the simplest radical form using a rational denominator
Answers
Answer:
41/40Step-by-step explanation:
Given cotA = 40/9
1/tanA = 40/9
tanA = 9/40
According to SOH, CAH, TOA
tan A = 9/40 = opposite/adjacent
Get the hypotenuse
hyp² = opp²+adj²
hyp² = 9²+40²
hyp² = 81+1600
hyp² = 1681
hyp = √1681
hyp = 41
Het sec A
sec A = 1/cosA
Since cos A = adjacent/hypotenuse
cos A = 40/41
secA = 1/(40/41)
SecA = 41/40
Hence the exact value of secA is 41/40
Solve the following inequality for m. Write your answer in simplest form. - 7 + 5(9m – 7) < 9m - 2 - 9 m < - 2 Submit Answer atte
Answers
Answer:
m < [tex]\frac{36}{31}[/tex]
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-7+5*(9*m-7)-(9*m-2-9)<0
Step by step solution :
STEP 1
:
Equation at the end of step 1
(-7 + 5 • (9m - 7)) - (9m - 11) < 0
STEP 2
:
Equation at the end of step 2
36m - 31 < 0
STEP 3:
3.1 Divide both sides by 36
m-(31/36) < 0
Solve Basic Inequality :
3.2 Add 31/36 to both sides
m < [tex]\frac{31}{36}[/tex]
MARKING BEST ANSWER BRAINLIEST!!!!!!!!!!!!!!!!!!!!What is the median of this group of numbers?
25, 35, 35, 40, 41, 45, 100
Answers
Answer:
There are 7 number so what you want to do is separate them into groups and the median will be the number in the middle which is 40 so 40 is the median
Step-by-step explanation:
hope this helps
please answer #3
i have only 5 points left ;(
Answers
Answer:
f(x) = 2,000(0.94)^x; 952 km^2
Step-by-step explanation:
Formula for exponential growth or decay:
f(x) = P(1 + r)^x
where
f(x) = future value in year x
P = present value
r = annual rate of growth (positive) or decrease (negative)
x = time in years
In this problem,
P = 2,000
r = -6% = -0.06; here r is negative since this is a decreasing function
The formula is
f(x) = 2,000(1 - 0.06)^x
f(x) = 2,000(0.94)^x
For year 12, x = 12.
f(x) = 2,000(0.94)^x
f(12) = 2,000(0.94)^12
f(12) = 952
halp halp i need halp
Answers
Answer:
Where is the question . For future questions it's help (:
Step-by-step explanation:
Answer
i also need help!!!!!!!!!!
Step-by-step explanation:
A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.
Answers
Answer:
35 a
Step-by-step explanation:
ada
Answer:
1. Percent 2. Ratio 3. Ratio 4. 105
Step-by-step explanation:
I just did it
Write "eleven and twenty-one hundredths" as a decimal.
Answers
Answer:
11.21
Step-by-step explanation:trust me bro
Answer:
11.21
Step-by-step explanation:
ask nicely and I'll give you what you want
Answers
Answer:
The expressions that are equivalent to that includes:
[tex]▪ \: 3c + \frac{4}{5} + \frac{1}{2} \\ ▪ \: \frac{4}{5} + \frac{1}{2} + 3c \\ ▪ \: \frac{1}{2} + \frac{4}{5} + 3c[/tex]
Answer:
1, 3, and 5 they all equal to (3c+13/10) which was the answer for the question
Step-by-step explanation:
to find out which is equivalent solve fraction and solve the others to see which one is similiar.
What is the y-intercept of y = 3 – 4x? Choose 1 answer: (-4,0) (3.0) (0.-4) (0.3)
Answers
Answer:
it is (3.0)
Step-by-step explanation:
because the 3 is the second number without an variable
HELP ME PLZ AND IF YOU HELP ME 10 POINTS
Answers
Answer:
3(c+4)
Step-by-step explanation:
It would usually be 3 x 4, but since there is a variable, it can`t be multiplied (unless you know what the value of the variable is). Thus the expression is 3(c+4).
00:00
Select all the values of p that are solutions for this inequality
10p - 8 >12
A. -1
B. 0
C. 1
D. 2
E. 3
Answers
Answer:
The answer is D. and E.
Step-by-step explanation:
The answer is D and E because 10 multiplied by 2 is 20 and 20 is bigger then 12 and 10 times 3 is 30 which is also bigger than 12.
P.S Can I have brainliest?
From the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
10p - 8 >12
10p > 12 + 8
10p > 20
p > 2
p ∈ (2, ∞)
Thus, from the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
find slope of the line that passes through the point (-9,7) and (9,-3)
Answers
Answer:
Step-by-step explanation:
(x₁, y₁) = (-9, 7) & (x₂ , y₂) = (9 , -3)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-7}{9-[-9]}\\\\= \frac{-3-7}{9+9}\\\\=\frac{-10}{18}\\\\= \frac{-5}{9}[/tex]
A student's parents offer him one of two options to receive scholarship money for college.
Option A: Deposit $17,000.00 into his savings account and then add an additional $1,250.00 each day for 30 days
or
Option B: Deposit $0.50 into his savings account and then triple that amount each day for only 10 days
When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 10) for Option B? If the student keeps only what is deposited on the last day, which option should he choose?
Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $17,000.00 0 $0.50
1 $18,250.00 1 $1.50
2 $19,500.00 2 $4.50
A = $142,845.76, B = $29,524.50; B, because he receives $113,321.26 more
A = $54,500.00, B = $10.50; A, because he receives $54,489.50 more
A = $37,500.00, B = $59,049.00; B, because he receives $21,549.00 more
A = $54,500.00, B = $29,524.50; A, because he receives $24,975.50 more
Answers
Answer:
option a
Step-by-step explanation:
it is because $17,000.00 will make you have more money and have better things to do in the nearest future
The amount received by student in option A and B are A = $54,500.00, B = $29,524.50, Option A is better because student receives $24,975.50 more.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
(A)
Given that,
Amount deposit by student in starting = $17,000
Also, student add $1250 each day for 30 days,
Amount added in 30 days = 1250 x 30 = $37500
Total amount in account = 17000 + 37500 = 54500
The final amount in account is $54500.
(B)
Amount deposited into saving account = $0.50
Also, student triple that amount for 10 days,
Amount in account in 10 days = 0.50 x 3¹⁰ = 29524.5
Option A is a better deal because the student receives $24,975.50 more.
To know more about Simplification on :
https://brainly.com/question/2804192
#SPJ2
If x is greater than 0, what is the difference of 6x√14x - 5√56x^3 in simplest radical form?
Answers
Answer:
6x√14x - 5√56x^3 = -4√14x√x
I hope this helps at least. :)
Simply put, expressing a radical in its lowest extreme form implies simplifying it and that there are no more squared roots, cube roots, 4th roots, and so on to find. This also entails eliminating any radical from a fraction's base, and further calculation can be defined as follows:
Given:
[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]
To find:
simplest radical form=?
Solution:
[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]
[tex]\to \bold{6x\sqrt{14x} - 5 \sqrt{4 \times 14 \times x \times x \times x}}\\\\\to \bold{6x\sqrt{14x} - 5 \times 2x \sqrt{ 14 x}}\\\\\to \bold{6x\sqrt{14x} -10x \sqrt{ 14 x}}\\\\\to \bold{\sqrt{14x} (6x-10x)}\\\\\to \bold{\sqrt{14x} (-4x)}\\\\\to \bold{-4x\sqrt{14x} }\\\\[/tex]
Learn more:
brainly.com/question/19792151
What triangle is similar to the given one?
Answers
Answer:
D
Step-by-step explanation:
Pls help I need it pls
Answers
Answer:
D-5/7
Step-by-step explanation:
You can use the formula rise over run, which is basically y2-y1 over x2-x1 in other words
In this case, y2=-3, y1= 2, x2=3 ,x1=-4
In every coordinate pair and table, the x always comes first
-3-2/3-(-4)=-5/7
Find the following area of this trapezoid.
Answers
Answer:
its c 98
Step-by-step explanation:
multiply hight by width so 14x7 and thats 98 but idrk
The slope of a line is 1/2 and it passes through the point (4,−7)
. Which of the following is the equation of the line?
Select one:
A) y=1/2x+9
B) y=1/2x+4
C) y=1/2x−7
D) y=1/2x−9
Answers
Answer:
Step-by-step explanation:
its the last one heres a graph of it
i hope it helps :)
Kohl’s is having a sale this weekend I picked out a new pair of boots for $75 a new coat for $130 and new gloves for $20 and then a show me a coupon for 30% off how much do I pay the cashier