Answers
=====================================================
Explanation:
The similar red marks on the angles tell us those angles are congruent. So they are the same measure.
The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.
--------------
Solve for x
AC = BC
5x-8 = 2x+7 .... substitution
5x-8-2x = 7 ... subtract 2x from both sides
5x-2x = 7+8 ..... add 8 to both sides
3x = 15
x = 15/3 ... divide both sides by 3
x = 5
---------------
Use that x value to compute each side length
AB = 3x+11 = 3*5+11 = 15+11 = 26
BC = 2x+7 = 2*5+7 = 10+7 = 17
CA = 5x-8 = 5*5-8 = 25-8 = 17
Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.
----------------
The last step is to add up all the side lengths to get the perimeter
perimeter of triangle = sum of all the sides
perimeter of triangle = side1 + side2 + side3
perimeter of triangle ABC = AB + BC + CA
perimeter of triangle ABC = 26 + 17 + 17
perimeter of triangle ABC = 60 units
Answer:
Step-by-step explanation:
Remark
The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.
Equation
5x - 8 = 2x + 7 Add 8 to both sides
Solution
5x - 8 + 8 = 2x + 7 + 8 Combine
5x = 2x + 15 Subtract 2x from both sides
5x-2x = 2x-2x + 15 Combine
3x = 15 Divide by 3
x = 5
Side length
5x - 8 = 5*5 - 8 = 25 - 8
5x - 8 = 17
3x + 11 = 3*5 + 11 = 15 + 11 = 26
Perimeter
17
17
26 Add
Perimeter = 60
Related Questions
Which situation can be modeled using a linear function? the population of yeast that doubles after every minute the population of yeast that doubles after every minute the height of a projectile after it is launched the height of a projectile after it is launched the distance covered by a car moving at a constant speed the distance covered by a car moving at a constant speed the cost of a printing machine that depreciates every year at 2% per year
Answers
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.
Answers
Simplify (30+20)×50 pls find ans
Answers
Answer:
2500
Step-by-step explanation:
solve brackets first
30+20=50
now multiply 50 × 50 (out of the brackets )
50 × 50 = 2500
Explain what it means to simplify a trigonometric function?????
Answers
Answer:
a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.
Step-by-step explanation:
The choir is selling candy bars to raise money for a trip they sell each candy bar for $5 there are 7 candy bars in each box and each student in the choir can sell 2 boxes of candy bars per day there are 5 students in the choir how much money can the choir raise in 8 days?
Answers
Answer:$2800
Step-by-step explanation: Lets first figure out how much money a box of candy bars is worth. We know that each candy bar is worth $5 and that there are 7 candy bars per box. We can multiply 7*5 to figure out that each box is worth $35.
Now lets figure out how many boxes can be sold each day. Each student can sell two boxes a day. 5 students selling 2 boxes each is 5*2= 10 boxes total sold a day.
Now finally we use what we found to figure out the amount of money made per day. We know that there are 10 boxes being sold and that each box makes them $35. We just multiply 10 boxes by $35 to get $350 dollars each day.
Since they sell for 8 days we just multiply 8*$350 to get $2800.
Find the length of the missing side. Round to the nearest tenth (one decimal place).
Answers
Answer:
x ≈ 9.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to find the missing length.
Step 2: Identify Variables
Leg a = 9
Leg b = x
Hypotenuse c = 13
Step 3: Solve for x
Substitute [PT]: 9² + x² = 13²Isolate x term: x² = 13² - 9²Exponents: x² = 169 - 81Subtract: x² = 88Isolate x: x = 2√22Evaluate: x = 9.38083Round: x ≈ 9.4A glass is
4
7
full. Then 70cm3 of orange juice is poured in.
The glass is now
3
4
full. What is the total volume of the glass?
Answers
Answer:
Step-by-step explanation:
4/7 x + 70 cm^3 = 3/4 x Subtract 4/7 x from both sides
3/4 x - 4/7 x = 70 cm^3 The lowest common denominator is 28
[tex]\frac{3*7*x}{4*7} - \frac{4*4x}{4*7} = 70 cc\\\frac{21*x}{28} - \frac{16*x}{28} = 70 cc\\\frac{5x}{28}= 70cc\\[/tex]
5x = 70*28
5x = 1960 Divide by 5
x = 1960/5
x = 392 cc
Answer:
392 cm³Step-by-step explanation:
The difference of 3/4 and 4/7 of the volume is 70 cm:
3/4 - 4/7 = 7/7*3/4 - 4/4*4/7 = 21/28 - 16/28 = 5/285/28 of the volume is 70 cm³
Divide both numbers by 5/28 to find the total volume of the glass:
70 : 5/28 = 70*28/5 = 392 cm³WILL GIVE BRAINLIEST!!! Help asap :)
Answers
HELP PLS IM STRUGGLING .
Math each term with its definition.
a A portion of a line consisting of two points and
e.
Lines that intersect at right angles.
all points between them.
b. A connected straight path. It has no thickness
f. A specific location, it has no dimension and is
represented by a dot.
and it continues forever in both directions.
GA figure formed by two rays with the same
d. A portion ofa line that starts at a point and
The set of all points in a plane that are a foxed
distance from a point caled the center.
&
endpoint.
h. Lines that lie in the same plane and do not
continues forever in one dire ction.
intersect.
Vperpendicular lines
parallel lines
angle
Vcircles
Vline segment
Answers
Answer:
Step-by-step explanation:
Perpendicular angles, E
Line segment, D
Parallel lines, H
Answer:
F - Perpendicular line
C - angle
A -line segment
H - parallel lines
D - circle
G - point
B - line
E - ray
Step-by-step explanation:
Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings account at his local bank which gives 6.9% simple annual interest. After fifteen years how much more interest will it have earned, to the nearest dollar?
Answers
Answer:
$4,221.00 for online and 6,210.00 for the instore
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year.
Solving our equation:
A = 6700(1 + (0.042 × 15)) = 10921
A = $10,921.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6.9%/100 = 0.069 per year.
Solving our equation:
A = 6000(1 + (0.069 × 15)) = 12210
A = $12,210.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.
plz help me asap i have 7 min plz
Answers
Answer:
[tex] {\huge{\boxed{\red{- 10 < - 4}}}}[/tex]
PLS ANSWER WHOEVER ANSWERS FIRST GETS BRAINLIEST!!!!
Shelby bought 6½ pounds of hamburger meat to make hamburger
patties. However, 4⅔ pounds of the hamburger had to be thrown away.
How much of the hamburger meat did not get thrown away?
Answers
Answer- 1 5/6 of the hamburger meat did not get thrown away.
Step-by-step explanation-
1. Turn the mixed numbers into fractions. 6 1/2=13/2
4 2/3= 14/3
2. Subtract. To do this you have to make sure that both fractions have the same denominator (bottom number) I did that by multiplying the bottom numbers by each other, and whatever you do to the top you do to the bottom. So it will turn out to be 39/6 - 28/6 = 11/6 or 1 5/6
A sales associate farms a neighborhood with 750 homes. The owners seem to list their homes every six years. How many listings should the sales associate obtain if she can list 40% of the homes in the neighborhood
Answers
Answer:
50 homes
Step-by-step explanation:
Given that:
Total Number of homes = 750
Years at which home is listed = 6
Thus average listing per year = (total number of homes / years)
Average listing per year = 750 / 6
Average listing per year = 125 homes
If 40% of homes in the neighborhood can be listed :
0.4 * 125
= 50 homes
Sales associate should obtain listing of 50 homes
Calculation of homes listing obtained by Sales associate
Given : Total 750 houses with listing tendencies every six years.
So, average annual houses listing = 750 / 6 = 125
Also, listings = 40%
Hence, sales associate obtain 40% of 125 = 50
To learn more about Percentage listings, refer https://brainly.com/question/5692146?referrer=searchResults
y = pq/p+q
p = 2.4×10^5
Answers
Answer:
Step-by-step explanation:
p=2.4×10^5.
q=3.7×10^5
pq = 2.4 * 10⁵ * 3.7 * 10⁵
= 2.4 * 3.7 *10⁽⁵⁺⁵⁾
= 8.88 * 10¹⁰
p + q = 2.4 * 10⁵ + 3.7 * 10⁵
= ( 2.4 + 3.7) * 10⁵
= 6.1 * 10⁵
[tex]y = \frac{pq}{p+q}\\\\ = \frac{8.88*10^{10}}{6.1*10^{5}}\\\\= 1.46 * 10^{10-5}\\= 1.46 * 10^{5}[/tex]
i have a c please help it will mean alot
Answers
[tex]\Large\boxed{\tt Answer: 5\frac{2}{3} }[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
We can solve this by dividing both numbers by four.
[tex]\tt 8\div4=2\\12\div4=3\\\frac{2}{3}[/tex]
We then add that to 5 to get our answer.
PLEASE HELP MEEEEEEE
Answers
Answer:
3/4 and in decimal it's 0.75
Step-by-step explanation:
Write an expression that uses subtraction and division that has a value of 3.
Answers
Answer:
12/2-3
Step-by-step explanation:
12/2-3
What is the slope of the line?
PLEASE AS SOON AS POSSIBLE!!
13 points for whoever answers
Answers
Answer
-2/2
Step-by-step explanation:
Solve the equation -3(x-14)+9x=6x+42. Does the equation have one solution, no solution, or infinitely many solutions?
Answers
Answer:
-3x+42+9x=6x+42
0x=0
x=0
Step-by-step explanation:
there is no solution
Answer:
infinitely many solutions
Step-by-step explanation:
Given
- 3(x - 14) + 9x = 6x + 42 ← distribute and simplify left side
- 3x + 42 + 9x = 6x + 42
6x + 42 = 6x + 42
Since the equation is the same on both sides, then any real value of x is a solution.
That is has infinite solutions
WILL MARK BRAINLIEST PLEASE HELP I NEED SOME SMART PEOPLE WILL MARK BRAINLIEST!!!
Answers
Answer:
The answer is [tex]6\frac{5}{8}[/tex]
Step-by-step explanation:
-12 pounds + [tex]5\frac{3}{8}[/tex]
-12+[tex]5\frac{3}{8}[/tex]
=-12+5+[tex]\frac{3}{8}[/tex]
=(-12+5)+[tex]\frac{3}{8}[/tex]
=(-7)+[tex]\frac{3}{8\\}[/tex]
=[tex]-6\frac{5}{8}[/tex]
Mr.Yoo's weight dropped by [tex]6\frac{5}{8}[/tex]
Answer:
6 5/8 edited--> i didnt see that someone alr answer this
Step-by-step explanation:
3
Question 5 (1 point)
Saved
Line AB has a slope of
value of k.
3
4.
and the endpoints A(11,3) and B(3, k). Determine the value of k
3
-41
9
-9
Answers
dont click this one it is not the right answer
Tyler is riding his bike from his house to the store, which is 4 MI away. Tyler gets to the store it 18 minutes after he leaves his house.Find Tyler speed in miles per minute. Use dimensional Analysis to check the reasonableness of your answer
Answers
Answer:
0.22 miles/minute
Step-by-step explanation:
Tyler is riding his bike from his house to the store, which is 4 MI away. Tyler gets to the store it 18 minutes after he leaves his house.Find Tyler speed in miles per minute.
The formula for speed is given as:
Distance/Time
Hence:
Tyler's distance = 4 miles
Time = 18 minutes
Speed(Miles/ minute) = 4 miles/18 minutes
= 0.2222222222 miles per minutes
= 0.22 miles/minute
If n is any positive 2-digit integer, what is the greatest positive integer that must be a factor of n(n+1)(n+2)(n+3)?
Answers
Step-by-step explanation:
Notice that in n(n + 1)(n + 2)(n + 3):
Exactly 2 of them are multiples of 2,
At least 1 of them is a multiple of 3, and
At least 1 of them is a multiple of 4.
Since one of the multiples of 2 is already counted in the multiple of 4 we can ignore it.
Hence we have 2 * 3 * 4 = 24.
The greater positive integer that must be a factor is 24.
Help pls and thank :)
Answers
Answer:
-5
Step-by-step explanation:
slope is rise/run
so, the rise is -5, the 'run' is 1
so, -5
given the polynomial x^4-3xy^2 find a polynomial of x so that the sum of the polynomials equals 4x^5+7xy^2
PLZ HELP WILL MARK BRAINLEST IF CORRECT WITH SOME WHAT OF AN EXPLANATION
Answers
Answer:
4x^5 - x^4 + 10xy^2.
Step-by-step explanation:
x^4 - 3xy^2 + P(x) = 4x^5 + 7xy^2
P(x) = 4x^5 + 7xy^2 - (x^4 - 3xy^2)
= 4x^5 + 7xy^2 - x^4 + 3xy^2
= 4x^5 - x^4 + 10xy^2.
what is a gram yyyyyyyyyy
Answers
Answer:
The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*.
Step-by-step explanation:
Answer:
The Grammy Award, or just Grammy, is an award presented by the Recording Academy to recognize achievements in the music industry. The trophy depicts a gilded gramophone. The annual presentation ceremony features performances by prominent artists, and the presentation of those awards that have a more popular interest.
Carol walks one mile every 24 minutes and walks 11 hours per week. If Carol takes 6 weeks off for rest throughout the year, how many miles will she walk per year? Assume there are 4 weeks per month.
Answers
Answer:
1,155 miles in a year.
Step-by-step explanation:
Assuming there are 4 weeks per month, that would mean there are a total of 48 weeks. If she takes 6 weeks off then that would leave 42 weeks. We know need to find how many minutes are in 11 hours by multiplying 11 by 60min.
11 * 60 = 660min
Now we need to divide 660min by the 24min it takes to walk 1 mile which will also give us the number of miles she walks per week
660 / 24 = 27.5 miles per week
Finally, we need to multiply the number of miles by the number of weeks in the year.
27.5 miles * 42 weeks = 1,155 miles in a year.
Simplify (45-28) - |15-21|
A) 11
B) 17
C) 23
D) 29
Answers
which equation represents the graph below
y= x/35
y=35x
y=x-35
y=x+35
Answers
Answer:
B: y=35x
Step-by-step explanation:
You can verify this by plugging 1 to be x (35*1=35) and 2 (35*2=70)
Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. She also uses 237.87 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
21.53 in of fabric on headbands
7.67 in of fabric on wristbands.
Step-by-step explanation:
Step one:
given data
the total amount of person players plus coaches= 27+4= 31
for each person, she uses = 667.43/31= 21.53 in of fabric on headbands
She also uses 237.87inches of fabric on wristbands for just the players
For each player, she will use= 237.87/31= 7.67 in of fabric
Hence for each player, she used
21.53 in of fabric on headbands
7.67 in of fabric on wristbands