Answers
Answer:
The length of PQ is 18 feet.
The length of PR is 18 feet.
The length of QR is 24 feet.
Step-by-step explanation:
A way to set an equation up for this problem is:
[tex]\frac{4}{3}x+x+x=60[/tex]
where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:
[tex]\frac{4}{3}(18)+18+18=60[/tex]
Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:
[tex]24+18+18=60[/tex]
Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
Related Questions
when a number i added to its square , the result is 6 what is the number
Answers
Answer:
2
Step-by-step explanation:
2 ² is 4. If you add 2 to 4, you get 6. Therefore, the answer is 2.
Solving using factorization method, the unknown number is either -3 or 2.
What is a square of a number?The square of a number is the product win a number is multiplied by itself.
Let the unknown number be a.
Square of a = a × a
The number is added to its square:
[tex]a + a^{2}= 6[/tex]
[tex]a^{2} \: + a - 6 = 0[/tex]
solving by factorization:
a = -3 or 2
Therefore, the unknown number is either -3 or 2.
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On Monday the temperature was 3 degrees below 0 on Tuesday the temperature was 7 degrees what was the change in temperature
Answers
Answer:
10 degrees
Step-by-step explanation:
7 - (-3) = 7+3 = 10 degrees
Which expression would represent the cost of one CD, if the total cost for three of them is $362
3/36)
36-3
36
3+ 36
Answers
Answer:
One CD would've been 120.67
Someone correct me if I'm wring please
Expand.
Your answer should be a polynomial in standard form.
(-1 + 2p)(3 – 4p) =
Answers
Answer:
-1+2p)(3-4p)=
Step-by-step explanation:
is the best one
The correct answer is :-3+10p-8p^2
can i be marked brainlest plz
What is the factored form of 250x3 − 16?
Answers
Answer: 2(5−2)(25^2 + 10 + 4)
Step-by-step explanation:
I took a test with the same question and got it right. Hope this helps
The commission on the sale of a property is 5.5% of the value. What is the commission on the sale of a property that has the same percentage of the value of $21,450?
Answers
Answer: $1179.75
Step-by-step explanation:
Percentage of commission = 5.5%
Value of property = $21,450
Commission = Percentage commission × Value of property
= 5.5% × $21,450
= 5.5/100 × $21,450
= 0.055 × $21,450
= $1179.75
The commission is $1179.75
Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =
Answers
Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = [tex]\frac{84}{7}[/tex]
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
please help its urgent
Answers
9514 1404 393
Answer:
they are in the same place on the number line
Step-by-step explanation:
-(-a/b) = a/b, so will be plotted on the number line in exactly the same place as a/b.
For the inequality y < 8 which statement best describes the graph?
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
There would be a horizontal solid line on (0,8) and shading would occur above the line.
There would be a vertical dotted line on (8,0) and shading would occur to the right of the line
There would be a vertical solid line on (8,0) and shading would occur to the left of the line.
Answers
Answer:
There would be a horizontal dotted line on (0,8) and shading would occur below the line.
I just took the test and got it right :) hope this helps!
For the given inequality, the best describes the graph is that there would be a horizontal-dotted line on the point (0, 8) and shading occurred below the line. Hence, option A is correct.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
When the is made, there is the shaded area provided that is made due to intersection of lines and the area below the both the lines and the common that is said to be the shaded area.
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Lucy has $8.15.
She loses $3.00.
About how much does she have now
Answers
Answer:5.15 or 5 rounded
Step-by-step explanation:
8-3=5 and add .15
If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answers
Answer:
$22.75
Step-by-step explanation:
if you multiply $32.50 * 30% you get $9.75
32.50-9.75=$22.75
Answer:
$22.75
Step-by-step explanation:
Convert percent to decimal:
30%=30/100=0.3
Percent formula:
a(1-r)
a(1−r)
32.5(1-0.3)
32.5(1−0.3)
32.5(0.7)
32.5(0.7)
22.75
22.75
Price after discount:
$22.75
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?
Answers
Answer:
y = [tex]\frac{3}{2}[/tex] x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{3}{2}[/tex] , thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 12 + c ⇒ c = 4 - 12 = - 8
y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line
The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
Given:
a point on a line: (8, 4)
slope of the line: 3/2
The equation of the line can be written in either point-slope form or slope-intercept form.
First, let's write the equation in point-slope form since we know one of the points and the slope.
Point-slope equation takes the form: y - b = m(x - a)Where,
(8, 4) = (a, b), andm = 3/2Substitute[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.
Also, we can rewrite in slope-intercept form as follows:[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]
Open bracket[tex]y - 4 = \frac{3}{2}x - 12[/tex]
Add 4 to both sides[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)
Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
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Please help!!
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.
Answers
Answer:
Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times.
Write the equation of the line in slope intercept form that has the given slope and the y-intercept
4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1
Answers
4). y = 2x - 6
5). y = -1x + 3
6). y = -1/3x - 1
Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6
Answers
Step-by-step explanation:
Let the integers be a, b and c. To model the expression generally;
[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]
Using the model to solve the following expression given
a) [tex]\dfrac{1}{4} \div 2[/tex]
[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]
b)
[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]
What are the solutions to m2 - 9 = 0?
O m = -9 and m = 0
m = -3 and m = 3
оооо
m = -3
O m = 9
Answers
Answer:
m = -3 and m = 3
Step-by-step explanation:
[tex] {m}^{2} - 9 = 0 \\ \\ {m}^{2} - {3}^{2} = 0 \\ \\ (m + 3)(m - 3) = 0 \\ \\ m + 3 = 0 \: \: or \: \: m - 3 = 0 \\ \\ m = - 3 \: \: or \: \: m = 3 \\ \\ m = - 3, \: \: 3[/tex]
Answer:
b is correct
Step-by-step explanation:
Find the value of n so that PQRS is an isosceles is an isosceles trapezoid
Answers
Answer:
n=7.5°
Step-by-step explanation:
As the two lines are parallel do the equation is
(10n+19)+(12n-4)=180
10n+19+12n-4=180
22n+15=180
22n=180-15
22n=165
n=165/22
n=15/2
n=7.5
n=7.5°
Answer: it’s 11.5
Step-by-step explanation: I got it right
i need help :( jejeendhndhednndndndn
Answers
Tara has already run 7 miles on her own, and she expects to run 1 mile during each track
practice. How many track practices would it take for Tara to run 23 miles?
Explain please
Answers
Answer:
15 track practices
Step-by-step explanation:
because 23 minus the 7 she already ran is 15 which she runs 1 each practice
Answer:
16
Step-by-step explanation:
because if you minus 7 from 23 you get 16 so she would have to have 16 practices
change the following number into fraction 1.57 recurring
Answers
Answer:
Step-by-step explanation:
1.57
=157/100 answer
create a function and explain why it is a function using academic vocabulary (input ,output, mapping, vertical line test and function (
Answers
(0,0)(1,2)(7,14)(10,20)
it is a function because each input has only one input.
or
using the vertical line test none of the points are on the same line
Mr. Christian is giving away special candies for Halloween. He has decided to spend $75 on Halloween candies. Each bag of candied raisins costs
$2.25 and each bags of Snickers costs $3.50.
1. Write the equation that represents this situation. Be sure to include what your variables stand for.
2. If Mr. Christian decides to buy 10 bags of candied raisins, how many bags of Snickers did he buy?
Answers
Answer:
1. For the candied raisins, r can represent the candied raisins
r = $2.25
t can equal total
t = total
And for the snickers, s can represent them
s = $3.50
Our equation would be: r + s = t
2. $52.50
10 bags of candied raisins would cost $22.50 so then we would subtract $22.50 from $75.00 because Mr. Christian wants to spend his full amount. We would get $52.50 from subtracting which is the amount he spent on the Snickers!
I hope that this can help you
Answer:
1: 2.25r + 3.50s = 75 ( r = raisins and s = snickers )
2: 15
Step-by-step explanation:
If you are creating an equation, you need to know which parts of the question should be included. The parts included in this equation would be $75 (total amount of money spent on candy), $2.25 (cost of 1 bag of candied raisins ), and $3.50 (cost of 1 bag of snickers).In order to make the equation, you would need to multiply both 2.25 and 3.50 by the amount of bags bought, however we do not know that yet, so we use variables. I chose to use r to represent the bags of candied raisins bought, and s to represent the bags of snickers bought. So that would leave you with 2.25r + 3.50s. Now since 75 is the total amount of money spent, you would set 2.25r + 3.50s equal to 75.
The answer to number 2 is 15. If you were to substitute r for 15, the new equation would be 2.25(10) + 3.50s = 75. When you multiply 2.25(10), you get 22.50. you would then subtract that from 75, giving you 50.50. The equation is now 3.50s = 50.50. The next step is to divide 3.50 on both sides, which would result in just the variable on the left side, and 15 on the right side of the equals sign ( s = 15 )
x^2-4x+3=0 complete the square
Answers
x^2-4x+3=0
Move the constant to the right
x^2-4x=-3
Add (4/2)^2 to both sides
x^2-4x+(4/2)^2=-3+(4/2)^2
Factor
(x-4/2)^2=1
Reduce the fraction
(x-2)^2=1
x=1
x=3
x1=1, x2=3
As per the quadratic equation, the given equation can be modified into (x - 2)² = 1. The value of x is 3, 1.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.
Given equation: x² - 4x + 3 = 0
⇒ x² - 4x + 3 + 1 = 1 (By adding 1 on either side)
⇒ x² - 4x + 4 = 1
⇒ x² - 2 × x × 2 + 2² = 1
⇒ (x - 2)² = 1
⇒ x - 2 = ±1
⇒ x = 3, 1
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My school is giving me a 1-day break for Thanksgiving and I'm very sad, I wanted at least 2-3 days.
Answers
Answer: If your school is only giving you a day off take memories that one day.
Step-by-step explanation: I'm also very sorry that you didn't get 2-3 days off. I get 2 days off and then the weekend.
Can I get brainlest please?! Also have a great day! (Everyday)
Answer:
i feel the same way :>
Step-by-step explanation:
but what you can do is try to enjoy the day as much as you can!! :)
Find the Slope of Y=X-2
Answers
Answer:
The slope is 1
Step-by-step explanation:
hope this helps
Answer:
Slope= 2.000/2.000= 1.000
Have a beautiful day and stay safe.
To anyone reading this HAVE A GOOD DAY
Answers
Answer:
Thank you!
Step-by-step explanation:
I hope you have a good day as well :D
Answer:
Thank you :)
Step-by-step explanation:
State if the two triangles are congruent, if they are state how you know.
A. SSS
B. HL
C. LL
Answers
Answer:
I belive it would be HL because its defenitly not SSS
Step-by-step explanation:
HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Can someone help me with the questions in the picture?
Answers
15 . i think tight angle triangle
18. isosceles
Answer:
13) Scalene
14) Iscosceles
15) Right
16) Scalene
17) Iscosceles
18) Right
Pretty simple explanations:
Iscosceles: 2 sides equal 1 side not, 2 angles congruent
Scalene: all sides and angles not congruent
Right: has a right angle in its legs
Consider Brainliest! Hope I helped!
Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent
Answers
Answer:
Step-by-step explanation:
If the price after the discount is subtracted is $96.25 then this is what you do
u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75
but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25
The original price of the tire that Gary would have paid had it not been for the discount is $160.42
Gary spent $96.25 on a new tire but this tire had been discounted by 40%.
This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:
x - (x × 40%) = 96.25
x - 0.4x = 96.25
0.6x = 96.25
x = 96.25 / 0.6
x = $160.42
In conclusion, the original price was $160.42.
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Anita is surveying students in her classroom about their favourite foods. Her survey results so far are shown below. Use fractions to answer the question.
What fraction of the students prefers either ice cream or pizza?
Type of Food: Fraction of Students Who Prefer the Food:
Fruit 1/12
Ice cream 1/3
Pizza 1/4
Other ?
Answers
Answer:7/12
Step-by-step explanation:fruit = 1/12 ice cream= 4/12 pizza=3/12 other must equal the remaining 4/12 btw and pizza plus ice cream is 4/12+3/12 = 7/12