Complete question :
triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of each side.
Answer:
x = 9
All sides have 35 units length
Step-by-step explanation:
Recall: Equilateral triangles have 3 sides, all of equal length.
QR = 2x + 17
RS = 6x - 19
QS = 4x - 1
Take :
QR = RS = QS
To find x
QR = RS
2x + 17 = 6x - 19
2x - 6x = - 19 - 17
-4x = - 36
x = 9
QR = 2(9) + 17 = 35
RS = 6(9) - 19 = 35
QS = 4(9) - 1 = 35
Part A. Write the equation 5 = 10x – 5y in slope-intercept form.
Part B. Identify the y-intercept.
Answer: See explanation
Step-by-step explanation:
Slope intercept formula: y = mx + b
5 = 10x - 5y
Add 5y to both sides
5y + 5 = 10x
Subtract 5 from both sides
5y = 10x - 5
Divide both sides by 5
y = 2x - 1
The y-intercept is -1
Hope I helped!
The y-intercept of the line 5 = 10x - 5y is b = - 5.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, an equation of line 5 = 10x - 5y.
In slope-intercept form it is 5y = 10x - 5 (y = mx + b).
So, the y-intercept of this line is - 5.
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A fair coin is tossed 16 times. what is the standard deviation for the number of heads?
Answer:
8 times.
Step-by-step explanation:
help me find the answer please
Answer:
The answer for the question is 60%
7th grade math help me plzzz
Answer:
1,2.5
3,4.5
4,5.5
6,7.5
8,9.5
Step-by-step explanation:
Using π = 3.14, what is the circumference of a circle with a radius of 18 units? Round your answer to the nearest hundredth.
Circumference - 2 x PI x radius
Circumference - 2 x 3.14 x 18 = 113.04 units
Decide whether this statement is "always, sometimes, or never"
"The diagonals of a trapeziod are congruent
a sometimes
b never
c always
The answer is sometimes, only if the trapezoid is an isoceles trapezoid.
Rewrite 140 1/8 in radical form.
Answer:
8 √ 140
Step-by-step explanation:
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 15 minutes in 3 hours. How long did they rest in 7 hours?
Answer:
35 Minutes
Step-by-step explanation:
15 minutes divided by 3 hours = 5 minutes an hour
7 x 5 = 35
How many terms are in the expression 4x5 - 2x3 + 6x -2?
Answer: 3
Step-by-step explanation:
The distance from town X to town Y is 200 km. The distance from town X to town Z is 135 km. Looking from town Y, town X and town Z are separated by an angle of 42
Complete question :
The distance from town X to town Y is 200 km. The distance from town X to town Z is 135 km. Looking from town Y, town X and town Z are separated by an angle of 42°. Sketch possible diagrams for this situation. Calculate the possible distances from town Y to town Z.
Answer:
166 km
Step-by-step explanation:
Given that :
X to Y = 200km
X to Z = 135 km
X and Z are separated by 42°
Using Sine rule :
x
z / sinZ = y / sinY
200/ sinZ = 135/sin42
SinZ = (200 * sin42) / 135
SinZ = 0.9913046
Sin^-1 (0.9913)
Z = 82.438
Z = 82.44
Hence,
X = 180 - (Z + Y) (angles in a triangle)
X = 180 - (82.44 + 42)
X = 55.56°
To obtain x:
x / sin X = y / sin Y
x / sin 55.56 = 135 / sin 42
x * sin 42 = sin 55.56 * 135
x = (55.56 * 135) / sin42
x = 111.33704 / 0.6691306
x = 166.39059
Hence, possible Distance from town Y to town Z= 166 km
Ramon earns $1,835 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
Sorry Iam at exam now
I know the answer but IAM writing exam
Write the phrase as an expression 3 fewer than 18 An expression is ---
The required expression is [tex]18-3[/tex].
Important information:
The given phrase is "3 fewer than 18".We need to find the algebraic expressions for the given phrase.
Algebraic expressions:The algebraic expressions for the phrase "a fewer than b" is:
[tex]b-a[/tex]
Similarly, the algebraic expressions for the phrase "3 fewer than 18" is:
[tex]18-3[/tex]
Therefore, the required expression is [tex]18-3[/tex].
Find out more about 'Algebraic expressions' here:
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In parallelogram , ABCD ∠A has a measure of 62° . Find the measures of ∠B and ∠C.
Answer:
<C = 62 degrees, <B= 118 degrees
Step-by-step explanation:
Opposite angles of parallelograms are always congruent.
Consecutive ( angles that are next to each other ) always add up to 180.
180-62=118
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 500 miles in 10 hours, how long does it take to travel 350 miles?
Use the slope formula to calculate the slope of the line.
(8, 11), (-4, -13)
A) 2B)
-2
1/2
D)
C)-2
Answer:
2
Step-by-step explanation:
slope formula: y2-y2/x2-x1
plug in the values
-13-11/-4-8
-24/-12
2
please help me before 3pm est
A deli sells small, medium, and large sack lunches. Each bottle of water costs $1,
and each apple costs $1. Each sandwich costs s dollars. Some customers buy
sack lunches, and some customers buy items separately.
• Amy buys 8 sandwiches and 12 waters. Her total cost is 8s + 12.
• Bob buys 8 small sack lunches. These sack lunches include 1 sandwich, 1
water, and 1 apple. His total cost is 8(s + 2).
• Cathy buys 4 medium sack lunches. These sack lunches do not include
water. Her total cost is 4(2s + 3).
Part 1
Dave buys 5 sandwiches for $31.25. Write an expression that can be used to find
the cost of x sandwiches. Show your work or explain your answer.
Answer: The expression that can be used to find the cost of x sandwiches is 6.25x.
Step-by-step explanation:
Given: Cost of 5 sandwiches = $31.25
To find : Cost of x sandwiches.
Cost per sandwich = ( Cost of 5 sandwiches) ÷ 5
= (31.25 )÷ 5
= $ 6.25
Cost of x sandwiches = (Cost per sandwich) × (x)
= 6.25x
Hence, the expression that can be used to find the cost of x sandwiches is 6.25x.
PLEASE HELP I WILL VOTE BRAINLIEST
Answer:
3.30 would be an average change rate if its wrong ill fix it i want braniest bad so if its wrong let me no or if i didnt answer correct
Step-by-step explanation:
Read this sentence from a student essay and then answer the question.
Manjiro is brave and shows this bravery in a variety of ways.
Which choice best revises the sentence so that it offers text evidence from Heart of a Samurai?
Manjiro is the bravest character in the story, and he shows this bravery in many different ways.
Manjiro is brave and shows this bravery as he jumps into the sea and swims determinedly toward the boats.
Manjiro is not only brave, but also he is extremely resourceful and one day dreams of becoming a samurai.
Manjiro is brave, resourceful, and filled with lots of questions that he is always asking of the others.
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Manjiro is not only brave, but also he is extremely resourceful and one day dreams of becoming a samurai.
Create an equation to solve for x, then solve to find its value.
Answer:
Equation: x + 16 + 13 + x = 21 ; x = -4
Step-by-step explanation:
x + 16 + 13 + x = 21 (Given)
2x + 29 = 21 (Added like terms)
2x = -8 (Subtracted 29 on both sides)
x = -4 (Divided 2 on both sides)
Answer:
Step-by-step explanation:
Please help me with this question!
Answer:
180 = 4b + 24
4b = 180 - 24
4b = 156
b = 156/4
b = 39
Charlie makes $34 an hour and will get a 20% raise starting next week. Choose True or False for each statement
1. Next week, Charlie's new hourly wage will be 120% of his original wage
2. Next week, Charlie's new hourly wage will be $40.80.
3. Next week, Charlie will be making $6.80 less than his current hourly wage.
4. Next week, Charlie will be earning an additional 20 cents per hour.
Answer:
#2
Step-by-step explanation:
$34.00×20%=$6.80
$34.00+$6.80=$40.80
Five friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer: 1 3/5
Step-by-step explanation:
From the question, we are informed that five friends are sharing 8 cups of lemonade and that they share the lemonade equally.
The number of cups that each friend gets will be calculated by dividing the number of cups of lemonade by the number of friends. This will be:
= 8 / 5
= 1 3/5
2
A cone has base of radius 2cm.
The perpendicular height of the cone is 5cm.
Calculate the surface area of the cone
Answer:-
A ≈ 46.4
Step-by-step explanation: -
Formula: πrl + π r²
l = √r² + h²
hope it helped
Describe and correct
the error in rewriting the expression.
6(y + 8) = 6y + 8
Answer:
it should be 8y× 6 i think
Please help! Please!
Answer:
1 is 4
2 is 56
Step-by-step explanation:
I'm mad slow I need help :(
Answer:
10 inches
Step-by-step explanation:
All you have to do is add the side you are given then subtract it from the total!
15+15+10=40 50-40=10!
I hope this helps and have a great day! :)
Answer:
10 inches
Step-by-step explanation:
As you can see the perimeter is equal to 50 inches. This means that if you added up all the sides it would equal to that perimeter. In order to find the missing side, you would need to add all the sides that you know. This gives you 40 then subtract it from 50 which gives you 10.If you rather not do all the work its very noticeable that the side to the left of it is equal to it in size.
Annelle can drive an average of 295 miles on one tank of gas. How many miles can she drive on 16 tanks of gas?
- this is a multiplication question.
16 X 295 = 4720 miles
- request: please mark brainiest, and click the thanks button if correct <3
help, please
I don't know
Answer:
385.16% to the nearest hundredth.
Step-by-step explanation:
109 / 28.3 = 3.8516
To get the percentage we multiply by 100:
= 385.16%
Which distribution is positively skewed?
None of the distributions are positively skewed
How to determine the distribution?A distribution that is positively skewed would have the following highlights:
More points on the left, if represented on a dot plotTall bars on the left, if represented on a histogramWhisker on the left, if represented on a box plotThe above means that none of the distributions are positively skewed.
This is so because:
A is negatively skewed because there are more points on the rightB and C are symmetrical because there are tall bars at the middleD is negatively skewed because the whisker is at the rightRead more about skewness at:
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Answer:
Step-by-step explanation:
it’s d
help me please i have literally 20 missing assignments and i'm so stressed out.
