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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
-----------
Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
-----------
The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
Having trouble solving this:
Answer:
It's the third option.
Step-by-step explanation:
Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7
Answer:
it's the 3rd one
SMART PEOPLE PLEASE TAKE THE TIME TO ANSWER THIS!!!!!!!!!
Answer:
40% ⋅ x = 35
x = 87.5
Step-by-step explanation:
To write an equation representing this situation, use the key words. 40% stays 40%. "Of" is the same as multiplication. "X" remains "x". "Is" is the same as equal to. 35 remains 35. So, the new equation you get is: 40% ⋅ x = 35.
To solve for "x", first turn the 40% into a decimal: 0.4. Now divide 0.4 from both sides to get: x = 87.5.
Note:
The dot "⋅", stands for the multiplication sign. I'm not using the "x" symbol for it because there is a variable x in the equation already.
Hope it helps!
What is the correct vocabulary term for a number variable product or quotient in an expression
In triangle ABC, A is a right angle, and mB = 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
This triangle is called a 45-45-90 triangle, and the side ratio for the sides opposite to the 45-45-90 degree angles respectively are 1-1-sqrt2
Now we know one side is 6 and its opposing the 45 degrees angle and BC is opposing the 90 degrees angle the ratio between the sides are 1:sqrt2
Therefore BC=6*sqrt2=6sqrt2
Thus B is the correct answer!
Hope this helped any questions just leave them in the comments of this answer.
Expand (5x – 3y + 2) using identity.
Answer:
[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]
Step-by-step explanation:
We need to expand (5x – 3y + 2)² using identity.
Using identity,
[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]
We have, a = 5x, b = -3y and c = 2
So,
[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]
So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].
72 paper clips to 63 paper clips
Answer:
72-63=9
9/72=13%
13% IS .13 SO TENTH IS .1
I AM NOT SURE ABOUT THE TENTH
Step-by-step explanation:
Given the following formula, solve for I.
P = 2(1 + b)
A
P - 0
4
OB. 1 = 4(P + b)
= P =
P - 26
OD. I =P
P – 5
OC. 1 =
2
answer: c. l =p-2b/2
step by step:
p=2(1-b)
p=2l-2b
p+2b/2=2l/2
l =p-2b/2
Graph the image of rectangle EFGH after a reflection over the line x= –1
Answer:
G (1,7)
H (2,7)
F (1,-1)
E (2,-1)
Step-by-step explanation:
The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).
What is a translation?The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).
Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).
To know more about translation follow
https://brainly.com/question/12861087
#SPJ2
Need help ASAP I will give you 10 points
Answer: x=18
Step-by-step explanation:
First distribute:
(18/6)-(x/6)=0
Isolate the x variable:
(18/6)=(x/6)
18=x
Is y=9 a horizontal line or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
y = 9 is a horizontal line :)
Step-by-step explanation:
y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .
I really really need help fast please
Answer:
-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)
Step-by-step explanation:
square root of 72 = 8.48528137 or 8.5 (rounding to tenths)
square root of 2 = 1.41421356 or 1.4
square root of 128 = 11.3137085 or 11.3
help me.............
Answer:
Step-by-step explanation:
In order to simplify we do the following...
[tex]5y + \frac{5}{14} + 9n + \frac{2}{14} + 2y - 3n = (5y +2y) +(\frac{5}{14}+ \frac{2}{14}) + (9n - 3n) = 7y + \frac{1}{2} + 6n[/tex]
Answer:
This expression can be simplified to 7y + 6n + 1/2
Step-by-step explanation:
You can find this by grouping like terms and adding them together. Starting with the expression we're given:
5y + 5/14 + 9n + 2/14 + 2y - 3n
Let's make it easier by grouping like terms:
(5y + 2y) + (9n - 3n) + (5/14 + 2/14)
Now we'll add them together:
7y + 6n + 7/14
And finally, we can simplify that fraction by factoring 7 out of both the numerator and denominator:
7y + 6n + 1/2
And now we have the final answer.
4^{3x+2}=
4
3x+2
=
\,\,2^{2x-4}
2
2x−4
Answer:
Dont know
Step-by-step explanation:
Sorryyyyyyyyyyyyyyyyyyyyy
Hellppp!! please help me find the answer
Answer:
A
Step-by-step explanation:
As
Option b- is false as the top speed is 18
Option c - is false as there lesser than 17 roadrunners
Option d- is false as everything is above 12
Option a- is true as 14 is like the average ...
I hope im right!
Grace bought 3 soccer balls for $14 each and 2 pairs of goalie gloves for $9 each. Write an expression for the total cost of the supplies. Then find the total cost. (LABEL)
Answer:
3(14)+2(9) is the equation
$60 is the total cost
Tell me if im right :)
Answer:
T=60
Step-by-step explanation:
Jonas and Marisol were the only candidates for sixth grade class president. Jonas received 60 votes and Marisol received 90 votes.
Of the 90 votes cast for Marisol, 40% were girls. How many girls voted for Marisol?
Answer:
36 girls voted for Marisol
Step-by-step explanation:
What's ƒ(g(x)) if ƒ(x) = 3x + 7 and g(x) =6x – 5?
Answer:
ƒ(g(x)) = 18x - 8
Step-by-step explanation:
We're looking for the composition of f and g, in which function g is the input to function f. Literally replace "x: in f(x) with g(x) = 6x - 5:
ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,
ƒ(g(x)) = 18x - 15 + 7, or 18x - 8
Find the slope of the line through the given points (4,-2),(-1,8)
Answer:
[tex]\displaystyle m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, -2)
Point (-1, 8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{8+2}{-1-4}[/tex][Fraction] Add/Subtract: [tex]\displaystyle m=\frac{10}{-5}[/tex][Fraction] Divide: [tex]\displaystyle m=-2[/tex]What are the possible measures of the triangle’s sides? Select all that apply.
Answer:
since a whole triangle is 180 you can do 60×3
Answer:
Step-by-step explanation:
Whole triangle = 180°
90 + 60 + 30
PLEASE HELP ME WITH THIS I HATE SCHOOL
Answer:
B.)[tex]\sqrt{245}[/tex]
Step-by-step explanation:
[tex]\sqrt{245}[/tex]=15.65
7[tex]\sqrt{5}[/tex]=15.65
Hope this helps! :)
Answer:
its is B
Step-by-step explanation:
I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)
can someone help me
Step-by-step explanation:
40 ÷ 4 ( 4 sides) = 10
So each side measures 10inches
Answer:
10
Step-by-step explanation:
beacue 10x4
PLEASE HELP
How much pressure is exerted on a science lab floor if the lab
desk has an area of 1.08 m2 and a force of 12 000 N
Answer:
use pressure =Force /area
Step-by-step explanation:
12000N/1.08
if 2^x=3^y=12^z, show 1/z=1/y+2/x
Answer:
2=k^1/x
3=k^1/y
12=k^1/z.......we get...
(atq)------k^1/x=k^1/y=k^1/z
(*a^m=b^m......b=a)
~1/x=1/y=1/z
1/z=1/y+1/x×2
(12=3+2×2)
1/z=1/y+2/x.....proved
10 + 2.5x > 35 please help meeee
[tex]x > 10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides.
[tex]2.5x > 35 - 10[/tex]
2) Simplify 35 - 10 to 25.
[tex]2.5x > 25[/tex]
3) Divide both sides by 2.5.
[tex]x > \frac{25}{2.5} [/tex]
4) Simplify 25/2.5 to 10.
[tex]x > 10[/tex]
Therefor the answer is, x > 10.
The compound interest on a sum of money in
2 years and 4 years are Rs 5,460 and Rs 12,066.60
respectively. Find the difference between principal
and compound interest of 3 years.
Answer:
The difference between the principal and the compound interest in three years is Rs 17,994
Step-by-step explanation:
The compound interest is given according to the following formula;
[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]
The given amount of the compound after 2 years = Rs 5,460
The given amount of the compound after 4 years = Rs 12,066.60
Therefore, we have;
[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)
[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)
Dividing equation (2) by (1), we have;
[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]
[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]
[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]
∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)
∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)
12,066.60/5,460 = x + 1
x = 12,066.60/5,460 - 1 = 1.21 = 121/100
x = 121/100
[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]
[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]
We get
[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]
[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]
[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]
[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]
[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]
r = 100 × 0.1 = 10%
r = 10%
Therefore, we have;
[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]
[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]
[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]
The principal = Rs. 26,000
The compound interest in 3 years is therefore;
[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]
The difference, 'd', between the principal and the compound interest in three years, is given as follows;
d = P - CI₃
d = 26,600 - 8606 = 17994
The difference between the principal and the compound interest in three years, d = Rs 17,994.
Please help!!!
Its an emergency
Answer: A
Step-by-step explanation:
The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.
[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]
z = 5
To solve for x, we can use sine again but for the 30 degree angle.
[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]
Answer:
x=10
Step-by-step explanation:
The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].
For this triangle
[tex]\sqrt{2}y=5\sqrt{2}[/tex]
so y=5.
Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of
y, [tex]\sqrt{3}y[/tex], and 2y. So
2y=x=10
answer choices:90ft square inches, 45ft square inches, 80ft square inches
Answer:
CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK
Step-by-step explanation:
Hi can someone please help The inverse of a function contains the points (3,12). (-3,10). (2,6), and
(5,7). Which of the following points is contained within the original
function?
(-3,-10)
(-6,2)
(7,5)
(-12,3)
Answer:
(7,5)
Step-by-step explanation:
(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.
The statements are represented by the rational number -6?
Answer:
uhhh.. statement? *~*
Step-by-step explanation:
5. A jewelry supply shop buys silver chains from a manufacturer for $45.00. and then sells the
chains at a 57% markup. What is the retail price of a silver chain?