Answer:
[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]
Step-by-step explanation:
The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:
[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.
Solving, we get:
[tex]9x=180,\\x=20[/tex]
Therefore, plugging our constant back in, our angles are:
[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].
Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).
Answer:
100, 40, 40
Step-by-step explanation:
First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.
3+(7-5)to the power of 2 x 6
Answer:
27
Step-by-step explanation:
PEMDAS
That is the order that you should solve complex equations
You first do equations in Parentheses
Then exponents
Then Multiplication or Division (whichever comes first in the equation)
Then Addition or Subtraction (again, whichever comes first in the equation)
So we first do the equation in parentheses, 7 - 5
7 - 5 = 2
Then we do the exponent (to the power of 2)
2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)
Next, we multiply 4 by 6
4 x 6 = 24
And finally addition
3 + 24 = 27
Represent the following expression with a single rational number.
-2 ⅖ + 3 ¼ - ⅗
HELP ME PLS
Answer:
1/4
Step-by-step explanation:
-2 2/5 + 3 1/4 - 3/5
-12/5 + 13/4 - 3/5 =
1/4
Refer to the diagram shown.
Answer:
60º
Step-by-step explanation:
What's the difference between period and cycle in math?
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.
Choose which expression doesn’t belong? State your reasoning.
Answer:
Step-by-step explanation:
This warm-up prompts students to carefully analyze and compare quadratic expressions. In making comparisons, students need to look for common structure and have a reason to use language precisely (MP7, MP6). The activity also enables the teacher to hear the terminology students know and how they talk about characteristics of the different forms of expressions.
As students discuss in groups, listen for rationales that are based on the structure of the expressions. Select those students or groups to share their thinking during class discussion.
Launch
Arrange students in groups of 2–4. Display the expressions for all to see. Give students 1 minute of quiet think time and then time to share their thinking with their small group. In their small groups, ask each student to share their reasoning about why a particular item does not belong, and together find at least one reason each item doesn't belong.
Student Facing
Which one doesn’t belong?
A.
B.
C.
ΔΔΔ⇔∈㏒㏒∞⇅⊃⊂↓∵↔→∨∧±×∛√ФπDoes anyone knows how to do Algerba II I really need helppp!!! Can someone please help me
Answer:
I know algebra ll
i can help :D
Step-by-step explanation:
I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST
Answer:
y = 2,500x + 5,000
Rate of change = $2500 a year
Initial value = $5000
Step-by-step explanation:
We have 3 values to figure what is the function here, the rate of change, and the initial value.
To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.
Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.
$7,500 - $5,000 = +$2,500/year
Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.
y = ????x + 5,000
You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!
y = 2,500x + 5,000
Answer:
y=2500x + 5000
2500
5000
Step-by-step explanation:
A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
Answer:
a. 76 b. 190
Step-by-step explanation:
a. Number of white lights
Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.
So, 3/2 = 114/x
cross-multiplying,
3x = 114 × 2
3x = 228
x = 228/3
x = 76
b. Total number of lights
So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190
help me pleasee i dont know how to do thiss
Step-by-step explanation:
Since UV bisects TW, TW also bisects UV.
=> Line segments UV and TW bisect each other.
=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2
=> 2y = 4 and 3x = 3y - 6
=> y = 2 and x = y - 2
=> y = 2 and x = (2) - 2
=> y = 2 and x = 0.
Answer:
y= 181/7 or 25.86
i really dont know about x
Any point on the parabola can be labeled (x,y) as shown.
1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)2+(y−3)2
distance to the directrix: |y−4|
distance to the directrix: |x−4|
distance to the focus: √(x−2)2+(y+3)2
distance to the focus: √(x+3)2+(y−2)2
distance to the directrix: |y+4|
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
2nd and 5th choice.
Part B)
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Step-by-step explanation:
For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.
Part A)
We are given a point (x, y) on the parabola.
Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:
[tex]d_1=|y-4|=|4-y|[/tex]
Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:
[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]
Hence, for Part A, our answers are the 2nd and 5th choices.
Part B)
Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:
[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]
Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:
[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]
Square:
[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]
Rearrange:
[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]
Combine like terms:
[tex]x^2+6x-3=-4y[/tex]
Divide both sides by -4. Hence, our equation is:
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Heyo! :D
Distance to the directrix is |y - 4|.
Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].
Hope this helps! If so, please lmk! Tysm and good luck!
13 m
6 m
8 m
✓
7 m
What is the perimeter and the area?
Answer:
4368 m
Step-by-step explanation:
13x6x8x7=4368
NEED HELP PLZ!!!!!!!!!!!!!
Answer:
1st Option is correct
Step-by-step explanation:
Just keep adding 150 to see the results
In a company, 90% of the workers are women . If 440 people work for the company who aren't women , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
There are total 4400 workers
Process is in photo...
The total number of workers if, In a company, 90% of the workers are women, If 440 people work for the company who aren't women is 4400.
What is percentage?
As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
In a company, 90% of the workers are women,
If 440 people work for the company who aren't women,
Calculate the percentage of people who aren't women as shown below,
The percentage of people who aren't women = 100% - the percentage of women
The percentage of people who aren't women = 100% - 90%
The percentage of people who aren't women = 10%
Assume that there are a total of x workers then according to the statement,
10% of x = 440
10 / 100 × x = 440
x = 440 × 100 / 10
x = 4400
To know more about percentages:
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A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?
The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.
What is probability ?Probability of something is the occurrence of a certain event out of the total events that can occur.
According to the given question
The total no. of chocolates in the box is
(5 + 5+ 5) = 15 chocolates.
The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.
There are 5 milk chocolates.
So, probability of getting a milk chocolate first is
P(mc) = 5/15
= 1/3
Now the the chocolate can no be replaced because it is eaten
∴ Probability of getting a dark chocolate second is
P(dc) = 5/14 (as the total no. of chocolate is reduced by 1
because it has been eaten)
And the probability of getting a white chocolate in 3rd attempt is
P(wc) = 5/13
As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is
P(mc) ∩ P(dc) ∩ P(wc)
= P(mc) × P(dc) × P(wc)
= (1/3 × 5/14 × 5/13)
= 25/546.
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Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
10/4 = a/6
What does "a" equal?
Answer:
15
Step-by-step explanation:
10/4 simplified is
5/2 multiply this by 3
15/6
Step-by-step explanation:
I suggest you to use calculator for this to avoid careless mistakes
Hope this is correct and helpful
HAVE A GOOD DAY!
In a grid of an auditorium, the vertices of a section of seats are A(40, 20) , B(80, 20) , C(100, 70) , and D(40, 70) . The coordinates are measured in feet. Find the area of the section.
Answer:
[tex]Area = 2900[/tex]
Step-by-step explanation:
Given
[tex]A (x_1,y_1) = (40,20)[/tex]
[tex]B (x_2,y_2) = (80,20)[/tex]
[tex]C (x_3,y_3) = (100,70)[/tex]
[tex]D (x_4,y_4) = (40,70)[/tex]
Required
Determine the Area
The area of the section is:
[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]
Substitute values for the x's and y's
[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]
[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]
[tex]Area = \frac{1}{2}|5800|[/tex]
[tex]Area = \frac{1}{2} * 5800[/tex]
[tex]Area = 2900[/tex]
Hence, the area of the section is 2900ft^2
Jack needs to save $598 to buy a video game system. He is able to save $26 per week. How many weeks will it take till he can buy the video game?
Answer:
23 weeks
Step-by-step explanation:
1. 598/26 = 23
2. 23 weeks
A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.
what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.
Formula (y=mx+b)
Answer:
$37
Step-by-step explanation:
Delivery fee- $10
each sandwich- $4.50
Sandwiches ordered- 6
4.50(6)+10=37
35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!
Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
42 slices from 3 cakes = 84 slices from____ cakes
6 Cakes man 6 cakes 42*2 3*2
Answer:
42 slices from 3 cakes = 84 slices from 6 cakesStep-by-step explanation:
Let the unknown value be x
[tex]42 = 3\\84 =x\\\\[/tex]
Cross Multiply
[tex]42\times x = 84\times 3\\\\42x = 252[/tex]
Divide both sides of the equation by 42
[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]
Help plsssss I will mark as brainlest if correct
Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.
See picture:
To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
86
Step-by-step explanation:
36 + 4 = 40 x 2 =80
36 x 2 = 82 = 4 - 86
Hope it helps!
The special number was supposed to be; 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For age 'a', the special number was
2a +4
Tammi's mother actually calculated it as;
2(a +4) = 2a +8
Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be;
80 -4 = 76.
Learn more about equations here;
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Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?
Answer:
30
Step-by-step explanation:
3 times 30 = 90 - 2(for the six she already had) so 30
i think
I need help it really hard
Answer:
ΔPQR and ΔSTU are not similar.
Step-by-step explanation:
The two triangles look distinguishable from each other.
– 7y = 7x + 21
Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.
Answer:
slope=-1
y-intercept=-3
Step-by-step explanation:
if you solve the equation, it equals y = -x-3 since you divide -7 from both sides
What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?
Answer:
(-6,0.5)
Step-by-step explanation:
(-9 + -3)÷2= -6
(-4 + 5)÷2=0.5
(-6,0.5)
Please help I’m so confused ;(
Answer:
Step-by-step explanation:
