Answers
Answer:
Δ QRS is an obtuse triangle ⇒ according to its angle
Δ QRS is an isosceles triangle ⇒ according to its sides
Step-by-step explanation:
In Δ QRS
∵ m∠Q = 8x - 17
∵ m∠R = 19x + 4
∵ m∠S = 5x + 1
→ The sum of the interior angles of a Δ is 180°
∴ m∠Q + m∠R + m∠S = 180°
→ Substitute their values in the equation above
∵ 8x - 17 + 19x + 4 + 5x + 1 = 180
→ Add the like terms
∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180
∴ 32x + (-12) = 180
∴ 32x - 12 = 180
→ Add 12 to both sides
∵ 32x - 12 + 12 = 180 + 12
∴ 32x = 192
→ Divide both sides by 32
∵ [tex]\frac{32x}{32}[/tex] = [tex]\frac{192}{32}[/tex]
∴ x = 6
→ Substitute the value of x in each measure of angles to find them
∵ m∠Q = 8(6) - 17 = 48 - 17
∴ m∠Q = 31°
∵ m∠R = 19(6) + 4 = 114 + 4
∴ m∠R = 118°
∵ m∠S = 5(6) + 1 = 30 + 1
∴ m∠S = 31°
∵ m∠R > 90°
∴ ∠R is an obtuse angle
∴ Δ QRS is an obtuse triangle
∵ m∠Q = m∠S
→ In any Δ if two angles are equal in measures, then the two sides
opposite to these angles are equal in length and the Δ is isosceles
∴ RQ = RS
∴ Δ QRS is an isosceles triangle
Related Questions
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Answer: 3(5x+27)
Step-by-step explanation:
15 and 81 are both divisible by 3.
Answer:
-5.4
Step-by-step explanation:
x= -81/15= -5.4
Find the area of the circle.
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Answer:
8.938
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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question:The baseball infield has an area of 90^2 square feet. What is the area of the infield?
Answers
Answer:
8100 square feet
Step-by-step explanation:
- klhat percentage of 40 is 8?
Answers
Step-by-step explanation:
8/40 x 100% = 20%
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?
Answers
Answer:
C x 20 + R x 20
Step-by-step explanation:
C x 20 + R x 20 or
20c + 20r
At a fair there are 18 game booths and 27 food booths. The fee for a food booth is $75 plus $5 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all of the booths are rented for the entire time. Write and simplify an expression for the amount in dollars that the company is paid.
Answers
Answer:$$4444
Step-by-step explanation:
The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?
A) 25
B) 0.8
C) 1.92
D) 30
Answers
Answer:
Your answer is C) 1.92
Hope this helps ^_^
Answer:
Sales tax is $1.92 or 192 cents.
Step-by-step explanation:
Given the price of a DVD is $24.00 plus 8% sales tax.
we have to find the sales tax on this DVD in dollars and cents.
The sales tax is 8% can be calculated as
8/100 X $24
1.92
In cents
as one dollar equals 100 cents
∴ 1.92 dollar = $1.92 = 192 cents
Hence, sales tax is $1.92 or 192 cents.
So your answer is C!!
Find the third, fifth, and tenth terms of the sequence described by the rule.
A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)
Answers
A(5)= -19
A(10)= -49
Write a linear function f with f(0) = 2 and f(2)=4.
f(x) =
Answers
Answer:
f(x) = x + 2
Step-by-step explanation:
(0, 2)
(2, 4)
Slope m = (4 - 2) / (2 - 0) = 1
y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2
3 and 4 plz help me im nice
Answers
Answer:
3. 7.2
4. 20
Step-by-step explanation:
Pls help ASAP!
What postulate are the triangles congruent by?
Answers
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Find the value of missing angles
Answers
7x + 96 = 180
7x = 84
X = 12
Find all multiples of 6 that are less than 40
Answers
Multiply 6 by numbers 1 -6:
To get:
6, 12, 18, 24, 30,36
Express the tangent of
Answers
Answer:
Step-by-step explanation:
TANGERINES
Answer:
of what ? finish the question
The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answers
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
You guys are life savers but does anyone know the answers to these questions? I’m so confused rn
Answers
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.
Answers
Answer:
$75
Step-by-step explanation:
To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.
The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.
Using (4, 50), this means that 4 tickets cost $50.
Unit rate/constant of proportionality = y/x = 50/4 = 12.5
This means a ticket costs $12.5.
Therefore, 6 tickets would cost:
6 tickets × $12.5 = $75.
George's mom paid $75 for the tickets?
How can 38 over 6 be expressed as a decimal?
Answers
Answer:
6.3 repeating
Step-by-step explanation:
The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.9.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?
Answers
Answer:
The probability that Terry buys a sandwich and gets the bus is 0.36
Step-by-step explanation:
When two events are called independent, it means that the happening of one event doesn't affect the happening of other event.
Let A be the event that Terry buys a sandwich
Let B be the event that Terry gets the bus
Then
[tex]P(A) = 0.4\\P(B) = 0.9[/tex]
When two events are independent, their probabilities are multiplied i.e.
[tex]P(A\ and\ B) = P(A) * P(B)\\= 0.4 * 0.9\\= 0.36[/tex]
Hence,
The probability that Terry buys a sandwich and gets the bus is 0.36
i really need help i have 1 minute to complete!!!!!
Answers
Answer:
8 angles are formed, and if angle one is 105° then angles 4, 5, and 8 are also 105°. and angles 2, 3, 6, and 7 would be 75°
Consider the equations shown: ax + by = ab & 2ax + 3by = 3b
Which of these is the value of y in terms of a?
Option 1 : y = 3a – 35
Option 2 : y = 2ab – 3b
Option 3 : y = 9a – 35
Option 4: y = 3 – 2a
Answers
Answer: [tex]y=3-2a[/tex], Option 4
Step-by-step explanation:
[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]
multiply 2 at [tex]ax+by=ab[/tex]
[tex]2ax+2by=2ab[/tex]
subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]
[tex]by=3b-2ab[/tex]
[tex]y=3-2a[/tex]
Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct?
She is correct, because both solutions satisfy the equation.
She is not correct, because she made a sign error.
She is not correct, because there are no solutions.
She is not correct, because there is only one solution: x = 3.5.
Answers
Explanation: If you isolate the absolute value by adding 1 both sides of the equation, you get -|2x-10|=3. There are no solutions, because the left side of the equation will always be negative and will never equal 3.
She is not correct, because there are no solutions. (Option C).
What is an equation?An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.
Now we have;
–|2x – 10| – 1 = 2
–|2x – 10| = 3
This is not possible because the absolute value does not return a negative value and the expression can never equal 3.
Thus, she is not correct, because there are no solutions.
Learn more about equation:https://brainly.com/question/10413253?
#SPJ9
What is the domain of the function in this table
Answers
The main fuction is mulitiply by 2 each 1 point
Step-by-step explanation:
A function f(x)is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answers
Answer:
[tex]f(x)=2x+1[/tex]
Step-by-step explanation:
At x=0, the y is at 1
at x=1, y went up to 3
the change between 3 and 1 is 2 therefore the equation is
[tex]f(x)=2x+1[/tex]
I hope this helps you and good luck!
equivalent ratio to 2:5
Answers
Answer:
4:10
8:20
16:40
1:2.5
Step-by-step explanation:
Rich and Betsy Cuik started a small business. They manufacture a microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains spring water and ground coffee beans in a tea-bag-like pouch. Each cup costs the company $1.00 to manufacture. The fixed costs for this product line are $1,500. Rich and Betsy have determined the demand function to be q = -1,000p + 8,500, where p is the price for each cup.
Write the expense equation in terms of the demand, q.
Express the expense equation found in part (a) in terms of the price, p.
Answers
Answer: E= 1.00q + 1,500
Step-by-step explanation:
True or False?
2^3 < 3^2
Answers
Answer:
True
Step-by-step explanation:
[tex]2^{3} <3^{2} \\2*2*2<3*3\\8<9[/tex]
Answer:
True
Step-by-step explanation:
Find the value of X in the triangle
Answers
Answer:
44°Step-by-step explanation:
[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]
[tex]m\angle DBE=m\angle ABC=68^o[/tex] {vertical angles}
[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]
Carlos is packing bags for treats at a party. Every bag has exactly the same amount of treats in it. Carlos has 25 granola bars and 35 small popcorn balls. What is the greatest number of treat bags Carlos can make?
Answers
Answer:
5 bags
Step-by-step explanation:
Given
[tex]Granola\ Bars = 25[/tex]
[tex]Popcorn\ Balls = 35[/tex]
Required
Determine the greatest number of bags
This question illustrates greatest common factor (GCF).
The number of bags will be solved by getting the GCF of 25 and 35.
This is shown below:
[tex]25 = 1 * 5 * 5[/tex]
[tex]35 = 1 * 5 * 7[/tex]
[tex]GCF = 1 * 5[/tex]
[tex]GCF = 5[/tex]
Hence, Carlos will need 5 bags
Solve for y.
4(y - 8) + 6 = 58
Answers
Answer:
[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]
21 is the answer.....Hopes to get BRAINLIEST......Hopes it helps you.......Thank you ☺️