Answer:
[tex](x,y) = (65^\circ, 50^\circ)[/tex]
Step-by-step explanation:
Let all values denote degrees.
By the exterior angle theorem, [tex]x + y = 115[/tex]. Moreover, because we are dealing with an isoceles triangle, [tex]y = 180 - 2x[/tex]. Substituting this into the former equation gives [tex]180-x=115[/tex] and as such [tex]x=65[/tex]. Because [tex]x + y = 115[/tex] we now also know that [tex]y=50[/tex].
Answer:
x° = 65° & y° = 50°.
Step-by-step explanation:
115° = x° + y° ( exterior angle property )
Let's name that angle to the right of 115° as 'a'.
a = 180 - 115 = 65°. (linear pair)
Now we know that the triangle is an isosceles triangle. (given)
So this makes x° also as 65° (equal sides make equal angles).
This leaves behind y°.
y° = 180 - (65+65) = 50°.
So, x° = 65° & y° = 50°.
A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed
from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is ?
A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed
from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?
Answer:
7 blue marbles
Step-by-step explanation:
15 blue
5 red
11 green
Total = 31
Number of Blue marbles that must be removed to obtain a probability of :
P(blue) = 1/3
Probability = required outcome / Total possible outcomes
Let number of blue marble to be removed = x
Number of Blue becomes : 15 - x
Total becomes : 31 - x
P(blue) = 1/3
1/3 = (15 - x) / (31 - x)
1/3 * (31 - x) = 15 - x
(31 - x) / 3 = 15 - x
31 - x = 45 - 3x
-x + 3x = 45 - 31
2x = 14
x = 14 / 2
x = 7
porfavor: 5(x+9) = 2(x+30)= cuanto es?
Step-by-step explanation:
Primero encontramos el valor de x,
5(x+9) = 2(x+30)
=> 5x + 45 = 2x + 60
=> 5x - 2x = 60 - 45
=> 3x = 15
[tex] = > x = \frac{15}{3} [/tex]
=> x = 5
Como tenemos el valor de x entonces,
LHS = 5(x+9) RHS = 2(x+30)
= 5(5+9) = 2(5+30)
= 5 × 14 = 70. = 2 × 35 = 70
Por tanto, el valor es,
5 (x + 9) = 2 (x + 30) = 70 (Ans)
Arrange these decimals from least to greatest.
6.00
0.56
0.060
0.6
0.056
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
You don't need to, I'm just glad I could help. ^^
~You're a beautiful person, and worth so much, no matter your race or gender.
You deserve the world and more, and if I could give it to you, I would!
So please don't let anyone say otherwise, there are so many people in this world who love you, including me.
And if someone can't see your beauty then they're rather blind or you're just too bright for them!
Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!
(Not in a weird way lol I love and care for everyone genuinely)
Diego bought 4 boxes of cookies to thank his coaches at the end of the season. Each box had the same number of cookies. A friend brought 1 cookie to add to each box. Now there were 28 cookies in all. What is the unknown amount in the story?
Answer:
there are 24 cookies in the 4 boxes
there are 6 cookies in each box
Step-by-step explanation:
Let x = number of cookies in each box
If there are 4 boxes, the total number of cookies in the four boxes are 4x
If a friend brought 1 cookie to add to each box, the friend brought a total of 4 cookies
4x + 4 = 28
Solving for x
4x = 28 - 4
4x = 24
x = 6
Each box contains 6 cookies and there are 24 cookies in 4 boxes
y=-4x-3
y=-2x+1
help
Answer:
x=−y+
−1/2
Step-by-step explanation:
Let's solve for x.
y−4x−3y=−2x+1
Step 1: Add 2x to both sides.
−4x−2y+2x=−2x+1+2x
−2x−2y=1
Step 2: Add 2y to both sides.
−2x−2y+2y=1+2y
−2x=2y+1
Step 3: Divide both sides by -2.
−2x
−2
=
2y+1
−2
x=−y+
−1/2
Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and paid $153.50 how many pepperoni pizza did he buy
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
The cost of downloading a video game app on the App Store is $1.75. Which equation can be used to find the c, the cost in dollar of downloading n video games?
A) c = n + 1.75
B) c = 1.75n
C) n = c + 1.75
D) n = 1.75 c
(d) Find the value of k so that kx + 5y = 10 makes an angle of 30° with y-axis.
Answer: k = -8.66
Step-by-step explanation:
We have the equation:
k*x + 5*y = 10
First, let's rewrite this as a line in the slope-intercept form:
5*y = 10 - k*x
y = 10/5 - (k/5)*x
y = -(k/5)*x + 2
Now, we want to make an angle of 30° with respect to the y-axis.
Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.
To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)
y = -(k/5)*5 + 2
y = -k + 2
then the cathetus of our triangle will be:
adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k
opposite cathetus: x = 5.
Now we know the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
where a = 30°
Then:
Tan(30°) = 5/(-k)
-k = 5/tan(0.577) = 8.66
k = -8.66
This is the value of k that we wanted to find.
Which method correctly solves the equation using the distributive property? Negative 0.2 (x minus 4) = negative 1.7
Answer:
4.85
Step-by-step explanation:
Given :
Negative 0.2 (x minus 4) = negative 1.7
-2(x - 4) = - 1.7
-2x + 8 = - 1.7
-2x = - 1.7 - 8
-2x = - 9.7
Divide both sides by - 2
-2x / 2 = - 9.7 / - 2
x = 4.85
A cell phone company recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June's
sales. If y represents July's sales, which equation can be used to determine the sales in July?
0 A y = n - 0,26n
OB y = n - 0.26
0 C. y = n + 0,26n
OD. n = y-0.26
22
Answer:
Option A. is correct.
Step-by-step explanation:
Given: A cell phone company recently noticed a [tex]26\%[/tex] sales decrease in the month of July compared to June such that [tex]n[/tex] represent June's sales.
Also, [tex]y[/tex] represents July's sales.
To find: equation that can be used to determine the sales in July
Solution:
June's sales [tex]=n[/tex]
Decrease in sales [tex]=\frac{26}{100}n=0.26n[/tex]
So,
July's sales [tex]=n-0.26n[/tex]
Also,
July's sales [tex]=y[/tex]
Therefore,
[tex]y=n-0.26n[/tex]
So, option A. is correct.
find the slope of the line that passes through the points (-2,6) and (9,-5)
Answer:
-1
Step-by-step explanation:
deltay/deltax
(6-(-5))/(-2-9)
11/-11
-1
4x – 8 = 32
How do I solve this
Answer:4
x
+
8
=
32
Step-by-step explanation:Isolate for
x
. Start by subtracting
8
from both sides of the equation.
4
x
+
8
−
8
=
32
−
8
4
x
=
24
Divide both sides of the equation by
4
.
4
x
4
=
24
4
x
=
6
Answer:
10
Step-by-step explanation:
4x-8=32
4x=32+8
4x=40
x=40/4
x=10
please help me.........
Answer:
Option D
Step-by-step explanation:
From the spinner we see there are 5 colours in there.
These are;
Green, Yellow, Red, Purple, Blue.
This means that when it is spinned, there's possibility of getting only one colour per spin.
Since she tosses a coin as well for each spin, there's a possibility of getting either a tail or head per spin.
This means, all possible outcomes will be 5 × 2 = 10 outcomes.
With each colour possibly showing up with either tail or head.
Correct answer is Option D as it has 10 possible outcomes in the correct order.
Work out the perimeter of a regular octagon with side length 2.6mm
Answer:
20.8mm
Step-by-step explanation:
We know that an octagon has 8 sides, and since this is a regular octagon we can safely say that all sides are equal.
This means all sides are 2.6mm.
So if we run the calculation:
2.6mm × 8 = 20.8mm (Side Length × Number of Sides = Perimeter)
We have our final answer!
Which set of characteristics produces one unique triangle?
A Two angle measures of 50∘ and one angle measure of 80∘
B One angle measure of 10∘, one angle measure of 70∘, and one angle measure of 100∘
C One side length of 12 centimeters, one side length of 5 centimeters, and one side length of 6 centimeters
D One side length of 7 centimeters, one side length of 10 centimeters, and one side length of 9 centimeters
Answer:
ya it a
Step-by-step explanation:
still same if flip around
There are 171 South American animals in a zoo. That is 40 more than half the number of African animals in
the zoo. Enter an equation you could use to find n, the number of African animals in the zoo.
the slope of (-4, 7), (-6,-4)
Answer:
5.5
Step-by-step explanation:
Answer:
11/2
Step-by-step explanation:
pa help po pls ASAP plssss
On A type Fa,La,Do on B Type Mi,So,Ti
what are the coefficients in the expression 4x+y+6z+12
Answer:
4, 1, 6
Step-by-step explanation:
The coefficient of x is 4
The coefficient of y is 1
The coefficient of z is 6
The coefficient of a variable is the number that appears before it.
Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25. Write this probability as a decimal. Use a word or phase to describe this probability
Pleas help I give 90 points
Answer:
First, your only giving 45
Step-by-step explanation:
Second,
Part 1:
P(yellow) [tex]\frac{5}{25}[/tex] as a decimal is 0.2
Part 2:
What best describes the probability?
A: Unlikely
Solving Square root and other radical equations
Answer: How to answer radical questions and such:
The most basic is to isolate one of the square roots, square both sides, and this will usually yield less square roots than when you started with. Keep repeating until you have no more square roots. This works pretty well in most cases, there are sometimes some tricks, arising from the particular problems themselves ways, which allow you to solve the equations much faster
The solving methods for Square root and radical equations are given below.
What is a radical equation?An equation wherein a variable is withinside the radicand of a thorough expression is referred to as a thorough equation. As usual, whilst fixing those equations, what we do to at least one aspect of an equation we ought to do to the alternative aspect as well. Once we isolate the radical, our approach could be to elevate each facet of the equation to the strength of the index. This will remove the radical.
To asked how to solve Square root and the radical equation
For Square root:
There are many methods for solving a square root such as
Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division MethodHere we will learn solving Square root using the Long method
Long division method
Separate your square root base into pairs. Find the largest square that divides into the first number or pair. Subtract the square from the first number or pair. Drop down the next pair.Multiply the first digit of the square by twoSet up the next factor equation.For radical equation:
There are many types of radical equations such as
Equation with one radicalEquation with two radicalsEquation with three radicalsAnd so on,
the best way to solve radical equations is:
Isolate one of the radical terms on one side of the equation.Raise both sides of the equation to the power of the index.Are there any more radicals?If yes, repeat Step 1 and Step 2 again.If no, solve the new equation.Check the answer in the original equation.Learn more about radical equations here:
https://brainly.com/question/9370639
#SPJ2
What are the solutions for X^2-9x=-9
Answer:
x = 1.146 and x =7.854
Step-by-step explanation:
Use the quadratic formula
x = -b ± √b² -4ac
2a
-(-9) ±√81-36
2
9 ± √45
2
30 times 6 divided bye 8
Answer:
22.5 hope i helped you out
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
I used a calculator:))))hope it helped:))))))
Enter the number that belongs in the green box
Answer:
x = 7
Step-by-step explanation:
All sides are equal therefore its 7
Hope this helps!! ♥︎
x = 7
7 because the measurement of all side are congruent
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0 B. 1 C. 2 D. 4 E. infinitely ma
9514 1404 393
Answer:
E. infinitely many
Step-by-step explanation:
The other pair of parallel sides (at right angles to the given sides) can be any length. Infinitely many rectangles can be formed.
Answer:
i think that the corect answer is A.0
Step-by-step explanation:
it is parallel and that means that it wont cross paths
1 Write the slope-intercept form of the equation of the line. -
Step-by-step explanation:
x=0 y=2
x=-2 y=0
y=mx+b
b=2
0= -2m+2
2m=2
m=1
y= x + 2
HELP PLEASE. If a^2 is a rational number which could be an irrational number
A. -a^2
B. 1/a^2
C. a
D.a4
Find the composition of transformations that map ABCD to EHGF. Reflect over the x axis then translate.
Answer:
[(x + 6), (y + 1)]
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
Mr. Tuyen uses 7/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?
Answer:
35/8; 5 2/8
Step-by-step explanation:
7/8 × 5 = 35/8
35/8 should be simplified down to 5 and 2/8th tanks
I WILL GIVE BRAINLIEST IF YOU FIGURE IT OUT
Give a third degree polynomial that has zeros of 17, 7i, and −7i, and has a value of −845 when x=4. Write the polynomial in standard form axn+bxn−1+….