Answer:
x = 15, y = 4
Step-by-step explanation:
To solve this, we have to define the triangles first. Since the triangles are congruent by HL, it means that the hypotenuse and the leg of the triangle are defined to be equal. By flipping one of the triangles upsidedown, we can visualize the hypotenuse of the triangles and the leg of the triangles (which are equal).
The two equations are the following:
[tex]x + 1 = 4y[/tex]
[tex]x = y + 11[/tex]
If I add 1 to both sides of the second equation, I get the following equation:
[tex]x + 1 = y + 11 + 1 = y + 12[/tex]
By comparing this new equation with the first one, we will get:
[tex]x + 1 = 4y = y + 12[/tex]
We can ignore x+1 for now since y can not be solved.
[tex]4y = y + 12[/tex]
By subtracting both sides of this equation by y, we will get.
[tex]3y = 12[/tex]
This solves for y, where
[tex]y = 4[/tex]
Now, we can re-use one of the equations, which is
[tex]x = y + 11[/tex]
Now that we know y is 4, we can plug it into this equation.
[tex]x = 4 + 11 = 15[/tex]
a. linear pair
b. vertical angles
c. complementary angles d. supplementary
Answer:
b. vertical angles
Step-by-step explanation:
<2 and <5 are vertical angles
They are formed by the same lines, are opposite each other and share a vertex. Vertical angles are equal
Factorize this and solve no p, q, s, t, w
explanation:
all the questions are solved
in question no. s and t u need to divide the number in two different parts to slove
for no. w we can get two type of solution.
p and q u need to give the power of whole .
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 3x+1
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= (13-4)/(4-1)
= 9/3
= 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 3x+b
Using a point from the table
10 = 3(3)+b
10 =9+b
10-9 =b
1=b
y = 3x+1
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
1071.79 yd³
Step-by-step explanation:
radius r = 16/2 = 8 yd
height = 16 yd
volume = (1/3)×πr²h
= (1/3)×3.14×8²×16
= 1071.79 yd³ (rounded to the nearest tenth)
What should I write?
Step-by-step explanation:
Let's say we have (m*x+d)², with m and d representing constant values (a number). If we expand, we can see that
(m*x+d)² = (m*x+d) * (m*x+d) = m²*x²+2*m*x*d + d². Matching that up with
ax²+bx+c, the value multiplied by x² in our factored perfect square is m² (so m²=a), the value multiplied by x is 2md ( so 2md = b), and the constant is d².
Going back to the problem, we want to see how the values of a and c correspond with a perfect square trinomial. In our perfect square of (m*x+d)², our resulting trinomial has m² = a and d² = c. This points to the fact that a must be a square of something (for example, if a = 1, √1=1, so this works) as well as c if they are part of a perfect square trinomial. If a and c are both squares of other numbers, then it is possible that ax²+bx+c is a perfect square trinomial. If they are not, then it is not possible
Please help me solve this problem guys
Answer:
17%
Step-by-step explanation:
Again, as the amount of years increase, the population of bees gets multiplied by 0.83. We can rewrite this to 83%, and then again rewrite this to 100%-17%. We can see now that the population of bees decreases by 17% each year.
find the measure of the indicated angle to the nearest degree
Answer:
43
Step-by-step explanation:
First you divide the opposite side from the angle by the hypotenuse.
33/44
then you take the inverse sine of 33/44, resulting in
43.43°, which rounds to 43°
what expression represents 19 more than 6 times a number, n
1. 19n+6
2. 6n-19
3.6n+19
4.19n-6
Answer:
6n+19
Step-by-step explanation:
6 times a number, n
6n
19 more
6n+19
Answer:
6n + 19
Step-by-step explanation:
Since the expression is 6 times n
We need to have 6 x n or simply just 6n
Since the expression is 19 more than 6n
We need to have 6n + 19
True False for each
Function A has a greater slope.
Function B has a greater y-intercept.
The slopes for both functions are the same.
The equation for function A is y=2x+3
Answer:
can you please add a picture
Step-by-step explanation:
I can't work it out without no picture
s the function represented by the table non-linear?
x
y
6
4
7
2
8
0
9
–2
Which applies the power of a power rule properly to simplify this expression?
Answer:
D.
Step-by-step explanation:
[7^(-8)]^(-4) =
A power raised to a power: multiply the exponents.
= 7^[(-8)*(4)]
= 7^(32)
Answer: D.
Answer:
7^32, the fourth option
Step-by-step explanation:
For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].
Find the volume of the cylinder please
ASAP
Answer:
33ft^3
Step-by-step explanation:
radius is half the diameter, half of 2=1 and 1^2=1
3(1)(11)=33
Answer: V = 33 ft³
Step-by-step explanation:
π = 3
r = (1/2)d = (1/2) (2) = 1 ft
h = 11 ft
Given Formula
V = π r² h
Substitute values into the formula
V = (3) (1)² (11)
Simplify exponents
V = (3) (1) (11)
Simplify by multiplication
V = 33 ft³
Hope this helps!! :)
Please let me know if you have any questions
Solve for x.
6(4x+2)= 3(8x+4)
Pls help it’s due in the morning ;(
[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1-3}{-4-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-2}{-7}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{2}{7}[/tex]
10:-Points are (-7,6),(11,-4)
[tex]\boxed{\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-4-6}{11+7}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-10}{18}[/tex]
[tex]\\ \sf\longmapsto m=-\dfrac{5}{9}[/tex]
Answer:
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
9) Mark any two point on the line
(x₁ , y₁) = (3 , 3) ; (x₂, y₂) = (-4 ,1)
[tex]Slope =\frac{1-3}{-4-3}\\\\=\frac{-2}{-7}\\\\=\frac{2}{7}[/tex]
10) (x₁ , y₁) = ( -7 , 6) ; (x₂, y₂) = (11 ,-4)
[tex]Slope =\frac{-4-6}{11-[-7]}\\\\ =\frac{-4-6}{11+7}\\\\=\frac{-10}{18}\\\\=\frac{-5}{9}[/tex]
Simplfy: -1| 2/3 - 4| / 5/6
Step-by-step explanation:
-1| 2/3 - 4| / 5/6
=-1 paxi ko sign k hola
The ratio of Mitchell's age to Connor's age is 8:5. In thirty years, the ratio of their ages will be 6:5. How much older is Mitchell than Connor now?
Answer:
9 years older
Step-by-step explanation:
The ratio of their ages is 8 : 5 = 8x : 5x ( x is a multiplier )
In 30 years their ages will be 8x + 30 and 5x + 30 and the ratio 6 : 5 , so
[tex]\frac{8x+30}{5x+30}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
5(8x + 30) = 6(5x + 30) ← distribute parenthesis on both sides
40x + 150 = 30x + 180 ( subtract 30x from both sides )
10x + 150 = 180 ( subtract 150 from both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Then
Michell is 8x = 8 × 3 = 24 years old
Connor is 5x = 5 × 3 = 15 years old
Mitchell is 24 - 15 = 9 years older than Connor
YA'LL PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the equation of the line passing through (1, 5) and parallel to y = 3x – 1.
please show how you got it so I can see if the answer makes sense!!!!
Answer: y= 3x+2
Step-by-step explanation:
because....
The slope-intercept form is y= mx +b, where m is the slope and b is the y-intercept.Use the slope 3 and a given point (1,5) to substitute for and in the point-slope form .
y-(5)= 3*(x-(1))
After simplifying it,
the equation is going to be y= 3x+2.
* Hopefully this helps:) Mark me the branliest!
Pls i need help
The continuous growth rate of wind energy per year is ?%
Answer:
Do you need it in percentage, a graph or just normal annual calculation?
help pleasseeeeeeeee
Answer:
-1
Step-by-step explanation:
I know that i^4 = 1
i^10 = i^4 * i^4 * i^2
= 1 * 1 * i^2
We know that i^2 = -1
=1 *1 *-1
= -1
What is (9.3x10^34)
(3.1x10^17) in scientific notation?
Answer:
3x10^17
Step-by-step explanation:
(9.3/3.1) * 10^(34-17) = 3^17
law of indices, x^m/x^n =x^m-n
A survey was conducted by asking 120 students in a town how they traveled to school.
The following pie chart shows the result of the survey
Car 30%
Cycle 25%
Walk 10%
Bus ?
What are the number of students that travel to school by bus
Answer:
42
Step-by-step explanation:
30+25+10=65%
bus=35%
35/100×120=42
BUS=42
plzzzz heeeeeeellllllllppppppppp again...
ANS=40
hope this help you
bye have a great day :)
help help help
help
help help
Answer:
R= (-9, -10) S=(-1,-10) T=(-1, -8) U=(-9, -8)
Step-by-step explanation:
There isn't really an explanation it's just reading the points on the graph. Hope this helps!! :)
PLEASE HELP Find the value of the following expression (2 ^8 • 3 ^-5 • 6 ^0) ^-2 • (3 ^-2 over 2 ^3 ) ^4 •2 ^28
the answer is very simple if you don't understand ask to your teacher
can someone explain step by step how to get the answer?
Answer: x³+8x²+11x-20
Step-by-step explanation:
To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.
-5 is the same as x+5=0
-4 is the same as x+4=0
1 is the same as x-1=0
Now that we have the factors, we can multiply them together.
(x+5)(x+4)(x-1) [FOIL]
(x²+4x+5x+20)(x-1) [combine like terms]
(x²+9x+20)(x-1) [FOIL]
x³-x²+9x²-9x+20x-20 [combine like terms]
x³+8x²+11x-20
Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.
A child is picking 3 days of the 7 days of the week to have Jello for lunch. What is the size of the sample space in this experiment?
If we are given the value of α. How can we find the value of β?
Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
On a map, 1 in represents 420 miles. How much does 3/4 in represent?
Answer:
315
Step-by-step explanation:
420 x 3/4 = 315
Answer:
315 miles
Step-by-step explanation:
We can write a ratio to solve
1 inch 3/4 inches
------------ = ---------------
420 miles x miles
Using cross products
1 * x = 420 * 3/4
x=315
On two investments totaling $9,500, Peter lost 3% on one and earned 7% on the other. If his net annual receipts were $169, how much was each investment?
Answer:
23$ was each investment
Step-by-step explanation:
[tex]\sqrt{x} x^{2}[/tex] +3
make x the subject a=7x/k-r
Answer:
x = [tex]\frac{a(k-r)}{7}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{7x}{k-r}[/tex] ( multiply both sides by (k - r) )
a(k - r) = 7x ( divide both sides by 7 )
[tex]\frac{a(k-r)}{7}[/tex] = x