The diagram shows triangle QRS with side SR on ray ST.
Part A. What is the measure of ∠QRS?
Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION
Enter the correct answers in the boxes.
Answers
The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know in the triangle the sum of the two interior angles is equal to the exterior angle.
Angle RQS + Angle RSQ = Angle TRQ
4y + y = 145
5y = 145
y = 29
The measure of angle QRS = 180 - Angle RQS - Angle RSQ
= 180 - 4(29) - 29
Angle QRS = 35 degree
The measure of angle Q = 4y = 4(29) = 116 degree
Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
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Two friends, Bart and Claudia, purchased concessions at a basketball game.
Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?
Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.
Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.
Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.
Drinks cost $1.00 each, and candy bars cost $0.75 each.
Answers
The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
2x + 2y = 5Claudia total purchase
x + 4y = 4.75The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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★ « pangnakaraan » ★
mga oras na nangyari na o mga bagay na natapos na★ « pangkasalukuyan » ★
mga bagay na nangyayari★ « panghinaharap » ★
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Answer:
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( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )
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[tex](4) + (3) \\ 6x + 9y + ( - 6x + 10y) = 20 - 18 \\ 6x + 9y - 6x - 10y = 2 \\ y = 2[/tex]
y = 2 ,
[tex]2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x = - 4 \\x = \frac{ - 4}{2} \\ x = ( - 2) \\ [/tex]
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Step-by-step explanation:
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Answer:
Well I can't put it on a number line but the order they should go in is: 2 [tex]\frac{1}{4}[/tex], 2.3 (repeating), 2.5,[tex]\sqrt{8}[/tex]
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5
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Step-by-step explanation:
Figure ABCD is transformed to A′B′C′D′, as shown:
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Sorry if I'm late
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school year picnic. They donated 20 packs
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10 knives, and 175 paper plates. How many
picnic items were donated?
Answers
20 x 12 = 240
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5 x 10 = 50
Paper plates :
175
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Step-by-step explanation:
I could be wrong, that's my best guess. Im so sorry if im wrong, have a good day
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His normal rate of pay is £15 per hour.
When Tom works more than 7 hours per day, he is paid overtime for
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Tom's rate of overtime pay per hour is 13 times his normal rate of pay per hour.
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Work out the total amount of money Tom earned on Monday.
The final line of your answer must say, Total = ...
1
+
Total marks: 4
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Answer:
£885
Step-by-step explanation:
(11-7)x15x13+7x15
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{ Arithmetic}
The total amount of money that Tom earned on Monday is £885.
Based on the information given in the question, the calculation to solve the question goes thus:
= [(11 - 7) × 15] × 13 + (7 × 15)]
= (4 × 15 × 13) + 105
= 780 + 105
= £885
Therefore, the total amount of money that Tom earned on Monday is £885.
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Step-by-step explanation:
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Write the equation of the parabola in vertex form.
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Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k
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Answer:
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Step-by-step explanation:
Answer:
r<=12.5
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<=
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
Answer the questions below. Do not do any rounding.
(a) How many milliliters of acid are in the resulting mixture?
(b) What percentage of the resulting mixture is acid?
Answers
Answer:
85% acid
Step-by-step explanation:
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.
This means,
75% of 100 milliliters = 75/100 x 100 = 75 milliliters
35% of 25 milliliters = 35/100 x 25 = 8.75 milliliters
Now,
The amount of acid is (75 + 8.75) = 83.75 milliliters
The percentage of the resulting mixture of acid.
= 83.75 / (100 + 25) x 100
= 83.75/125 x 100
= 67%
Thus,
The amount of acid is 83.75 milliliters
The percentage of the resulting mixture of acid is 67%
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