Answers
Answer:
a:(5x+3)+(3x+7)=180°
linear angle
Related Questions
Blythe is 35 years old. She is planning on retiring in 30 years. She has opened an IRA with an APR of 1.75% compounded monthly. If she makes monthly
deposits of $650 to the account, how much will she have in the account when she is ready to retire?
$507,459.27
B) $107,659.27
$497,347.27
D) $307,459.27
Answers
The correct answer is A) $507,459.27. Blythe will have approximately $507,459.27 in her account when she is ready to retire.
To calculate the future value of Blythe's IRA, we can use the formula for compound interest:
A = P [tex]\times (1 + r/n)^{(nt)[/tex]
Where:
A is the future value
P is the monthly deposit amount ($650)
r is the annual interest rate (1.75% or 0.0175 as a decimal)
n is the number of times interest is compounded per year (monthly, so 12)
t is the number of years (30)
Substituting the given values into the formula:
A = 650 [tex]\times (1 + 0.0175/12)^{(12\times30)[/tex]
Calculating this expression yields A ≈ $507,459.27.
Therefore, the correct answer is A) $507,459.27. Blythe will have approximately $507,459.27 in her account when she is ready to retire.
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RSTU is a parallelogram. If m∠TUV = 78° and m∠TVU = 54°, explain how you can find the measure of ∠SRV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.
Answers
The measure of angle ∠SRV in parallelogram RSTU is 78°.
Step 1: Since RSTU is a parallelogram, opposite angles are congruent. Therefore, ∠TUV is congruent to ∠SRV. So, we can say that m∠SRV = 78°.
Step 2: In triangle TVU, the sum of the angles is 180°. Using this fact, we can find the measure of ∠VUT.
∠VUT = 180° - (m∠TUV + m∠TVU)
∠VUT = 180° - (78° + 54°)
∠VUT = 180° - 132°
∠VUT = 48°
Step 3: In triangle VUT, the sum of the angles is 180°. Using this fact, we can find the measure of ∠UTV.
∠UTV = 180° - (m∠VUT + m∠TVU)
∠UTV = 180° - (48° + 54°)
∠UTV = 180° - 102°
∠UTV = 78°
Step 4: Since RSTU is a parallelogram, opposite angles are congruent. Therefore, ∠UTV is congruent to ∠SRV. So, we can say that m∠SRV = 78°.
Step 5: From Steps 1 and 4, we can conclude that ∠SRV measures 78°.
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To find the measure of ∠SRV we use the properties of triangles and parallelograms. After finding the measure of ∠UTV based on the other angles of the triangle, we use the property of parallelograms that opposite angles are equal to find that ∠SRV = 48°
Explanation:To find the measure of ∠SRV in the given parallelogram RSTU, we will use the properties of triangles and parallelograms. Firstly, with m∠TUV = 78° and m∠TVU = 54°, because they are angles in a triangle, they add up to 180°. So, we can find the measure of the third angle ∠UTV. ∠UTV = 180° - m∠TUV - m∠TVU = 180° - 78° - 54° = 48°.
Secondly, because RSTU is a parallelogram, opposite angles are equal. Therefore, ∠SRV = ∠UTV = 48°
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Madison had $1056 in her checking account. She made 4 deposits of $205 each. After the deposits, Madison decides to go shopping. She spends $108.64 at Target. She also spent $388.12 at Walmart. Write another integer to represent the total amount withdrawn from Madison’s account after going shopping. Show your work. *
Answers
Answer:
-496.76
Step-by-step explanation:
108.64 + 388.12 = 496.76Because these were withdrawals or payments, it would be negative: -496.76I hope this helps!
Given the function h(a)=9a2+46a, solve for h(a)=−5
Answers
h(-5) = 9(-5)^2 + 46(-5)
h(-5) = 9(25) - 230
h(-5) = 225 - 230
h(-5) = -5 (Answer)
use the line plot below to answer the following questions when x=9
Answers
Answer:
8 x + 3 = 75
9 x - 6 = 75
5 x + 5 = 50
Step-by-step explanation:
8 x + 3
8 (9) + 3
72 + 3
75
---------------------------
9 x - 6
9 (9) - 6
81 - 6
75
---------------------------
5 x + 5
5 (9) + 5
45 + 5
50
5
4 points
Suppose your bank charges a $7 monthly fee and $0.11 per check. If you write 62 checks in a year, how much money in fees would you expect to pay for the year? Type out a
calculations and make sure your final answer is clear.
Answers
0.11x=55
x= $500
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 9.6% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 10 customers buy a magazine
Answers
Answer:
The probability that exactly 2 out of the first 10 customers buy a magazine
=
1.92%
Step-by-step explanation:
The Proportion of customers who buy a magazine = 9.6%
If 2 out of the first 10 customers buy a magazine, the proportion is given as 2/10 or 20%.
Therefore, the probability that exactly 2 out of the first 10 customers will buy a magazine is equal to the proportion of customers who buy a magazine multiplied by the proportion of the first 10 customers who buy a magazine
= 9.6% * 20%
= 1.92%
6.5 divided by 2.25 I need help guys please help me
Answers
Answer:
This is the answer 2.888888888
6 - 3x = 5x - 10x + 14
Answers
Answer:
4
Am I right
Step-by-step explanation:
6-3x=5x-10x+14
6- 3x= - 5x =14
-3x +5x =14 - 6
2x =8
Divide by 2
X=4
Factor 64b - 16c to identify the equivalent expressions
Answers
Look for the greatest common factor of 16 and 64 by listing out their factors.
Jason enters six races: biking, canoeing, horseback riding, ice skating, running, and swimming. He places between first and fifth in each. Two places are consecutive only if the place numbers are consecutive. Jason's places in canoeing and running are consecutive. His places in ice skating and swimming are consecutive. He places higher in biking than in horseback riding. He places higher in canoeing than in running.
1. If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?
a. He places fourth in horseback riding.
b. He places fourth in ice skating.
c. He places the same in both horseback riding and ice skating.
d. He places the same in both horseback riding and swimming.
e. He places higher in horseback riding than in swimming.
If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?
a. 2
b. 3
c. 4
d. 5
e. 6
Answers
Answer:
1) e: He places higher in horseback riding than in swimming.
2) e: 6
Step-by-step explanation:
1)If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?
We are told in the question that:
Two places are consecutive only if the place numbers are consecutive.
Therefore, Option e. He places higher in horseback riding than in swimming. Is that one that allows all his race rankings to be determined is correct
2)If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?
From the above comprehension, we are told that Jason entered six races: which are as follows: biking, canoeing, horseback riding, ice skating, running, and swimming.
Therefore, since he entered 6 races, each races would have a ranking of their own. Hence, the number of his rankings that can be determined is 6.
Option e is correct.
1. e: He places higher in horseback riding than in swimming
2. e: 6
We're given:
canoeing and running are consecutive (which means they cannot be separated with other middle number and that they do not overlap). ice skating and swimming are consecutive rank in biking is higher than in horseback riding (which means they cannot be overlapped but can be separated by middle ranks).rank in canoeing > rank in runningFirst question gives:
running rank > biking rankbiking rank > ice skating rankThis situation if mixed with point e :
Horseback riding rank > rank in swimming
Then this is what we get:
Canoeing = 1st position
Running = 2nd position
biking = 3rd position
Ice Skating = Horseback riding = 4th rank (overlapped since overall he can only have all 6 ranks from first to fifth)
Swimming = 5th rank
Thus option e allows all six of his races rankings to be determined.
Second condition gives:
1. Rank in running > rank in biking
2. Rank in Horseback riding > rank in swimming
This implies that
canoeing rank > running rank > biking rank > horseback riding > swimming
And since ranks cannot go outside from first to fifth position and since ice skating is consequent to swimming thus we have:
canoeing rank = 1
running rank = 2
biking rank = 3
horseback riding rank = ice skating ranking= 4
swimming rank = 5
Thus option e is correct as all the six rankings are determined.
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Ms. Cody needs 1.75 yards of fabric to make one pillow. How many yards of fabric will she need to make 12 pillows?
A.12 yards
B.12 3/4
C.21 yards
D.21 3/4 yards
ANSWERR PLZZZ FAST
Answers
Answer:21 yards
Step-by-step explanation: 1.75 times 12 is 21
Find the value of x and the value of y.
Answers
x=45
y=20
Explanation:
The first thing we want to do is create 2 equations (since there are 2 variables) paying attention to three important pieces of information:
1) those two lines on the shape are parallel
2) the line segment on the right form a right angle at the bottom corner
3) In a quadrilateral, all of the angles add up to 360 degrees
Let A be the left side of the shape
Let B be the right side of the shape
Let C be the bottom side of the shape
(These are just for the explanation to be more clear)
Using 2), we know that line C is perpendicular to line B. But because line A is parallel to line B, line C is also perpendicular to line A. And this means that 2x degrees = 90 degrees.
Boom! First equation found.
2x=90
Using 3), we can say that all the angles of this shape will add up to 360 degrees since this shape is a quadrilateral.
Boom! Second equation found.
3y+6y+2x+90=360
Here are the equations:
3y+6y+2x+90=360
2x=90
There are a number of strategies we can use to solve for x and y (ex. First solving for x and substituting it to the other equation, etc.) but for this question, we can plug the second equation directly into the first by subbing in 90 as 2x.
3y+6y+2x+90=360
-> 3y+6y+90+90=360
And now, we solve for y.
3y+6y+90+90=360
9y+180=360
Subtract both sides by 180
9y=360-180
9y=180
Divide both sides by 9
y=20
Now that we found y, we only need the second equation to find x.
2x=90
Divide both sides by 2
x=45
Therefore, the value of x is 45 and the value of y is 20.
I hope this helps!
Answer:
x = 45
y = 20
Step-by-step explanation:
3y + 6y + 2x + 90 = 360 (Angles of a parallelogram ALWAYS add up to 360)
9y + 2x + 90 = 360 (Combine like terms) (2x = 90 because angles are congruent) {2x = 90; x = 45]
9y + 90 + 90 = 360 (Add like terms)
9y + 180 = 360 (Subtract 180 from both sides)
9y = 180 (Divide both sides)
y = 20
Evaluate: -67.8 - 5.72
Answers
Answer:
-73.52
Step-by-step explanation:
Answer:
-73.52
Step-by-step explanation:
Moving waves can be described either as a function of the time or as a function of
Answers
Answer:
or as a function made due to movement of the sun and moon
Answer:
what he said
Step-by-step explanation:
which is true
1) 31^3 12^10
Answers
Answer:
1,844,580,200,000,000 = 1.8445802×10^15
Step-by-step explanation:
31^3 x 12^10
31^3 = 31 x 31 x 31
12^10 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12
31^3 = 29791
12^10 = 61917364224
29791 x 61917364224 = 1,844,580,200,000,000 = 1.8445802×10^15
Answer:
the firs one
Step-by-step explanation:
3/4x+5−1/2x=3 what is the value of x?
Answers
Answer:
-1/8 is the answer
Step-by-step explanation:
1.) 1st we have to take 1/2x and make the bottom number 4. so we multiply by 2 and you should get 2/4.
2.) so now the equation should be 3/4x + 5 -2/4x = 3. now you take 3/4x and -2/4x and subtract them and you should get 1/4x.
3.) now the equation should look like 1/4x + 5 = 3. now we need to get all whole numbers to one side. so we will subtract 5 from 5 and that will cancel it out and we need to do that to both sides. so we will subtract 5 from 3 and you will get -2.
4.) now the equation should look like 1/4x = -2. now you put a 1 under the 2 to make it a fraction. it should look like 2/1 and then you are going to flip it because that is how you divide fractions. so now your equation should look like 1/4x = 1/2. now you multiply strait across both bottom and top. and you will get x = -1/8 and that is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
Solve 4(3x+3)=15x+7-3x+5
Answers
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
4(3x + 3) = 15x + 7 - 3x + 5
Step 2: Solve for x
Distribute 4: 12x + 12 = 15x + 7 - 3x + 5Combine like terms: 12x + 12 = 12x + 12Subtract 12 on both sides: 12x = 12xDivide both sides by 12: x = xHere, we can see that x would be infinite amount of solutions. We can plug in any number x and it would render the equation true.
Gina has 5 pencils. Her sister has twice as many pencils. What is the answer
Answers
Answer:
10
Step-by-step explanation:
Help me plss I need it
Answers
Answer:
Expanded Form = 30 + 8 + 0.4 + 0.06 + 0.004
Standard Form = 38.464
Step-by-step explanation:
These are the answers because:
1) Expanded form means to write a number to show the value of each digit
2) Standard form means to write down the number that is describing described
Hope this helps! :D
find the coefficients and constants of a^2+2+7b
Answers
Answer:
coefficients: 7, from the term 7b
Constants: 2 (not the exponent)
Step-by-step explanation:
Coefficients are the number in front of a variable and constants are normal numbers without variables or exponents.
A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is the surface area? Explain or show your reasoning?
Answers
Answer:ehhwvwhsv
Step-by-step explanation:
i.e ;
l = 2cm
b = 2cm
h = 5cm
SA of rectangular prism = 2(lb + bh + hl)
Put values.
SA = 2(2×2 + 2×5 + 5×2)
= 2× 24
Victor can wash two cars in eight minutes at this rate how long will it take him to wash 20 cars?
Answers
First, we can find out how long it takes him to wash one car by dividing the time by the number of cars:
8minutes/2cars
= 4 minutespercar
So Victor can wash one car in 4 minutes.
To find out how long it would take him to wash 20 cars, we can multiply the time it takes to wash one car by the number of cars:
20cars × 4minutespercar
= 80 minutes
Therefore, it would take Victor 80 minutes to wash 20 cars at the same rate of washing 2 cars in 8 minutes.
may someone help with this midterm review????? i don’t get it
Answers
Answer:
D
Step-by-step explanation:
What is the solution set to the inequality (4x-3)(2x-1)>0?
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
Answers
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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Writing Find the quotient -18/0
. Use pencil and paper. How would the answer be different for the quotient 0/-18
? What are the rules for divisions involving 0?
Answers
Answer:
anything divided by 0 is zero or the other way around
Step-by-step explanation:
I need help on 1 2 and 4 I’ll give you brainliest
Answers
Answer:
1. C and D 2. B 4.C
Step-by-step explanation:
Answer: 1 is c & d 2 is b and 4 is c
N is between M and P find the value of x help :(
Answers
Answer: x = 20
Step-by-step explanation: We can use the Segment Addition Postulate.
If N is between M and P, then MN + NP = MP.
So we have 2x + 7 + 13 = 3x.
Solving from here, first simplify the left side to get 2x + 20 = 3x.
Now subtract 2x from both sides ti get 20 = x.
So the value of x is 20.
Malia split up the large container of salsa that she bought into 5 bowls to place around her house for the party if each Bowl contain 8.5 ounces of the salsa which shows the correct equation and value of x the total amount of salsa in the original container
Answers
Answer:
You never gave the answer choices but it should look something like this.
5 ⋅ 8.5 = x
or
x / 5 = 8.5
as for x. X=42.5
