Answer:
1) x= 15
2) x= 34
3) x= 40
Step-by-step explanation:
1) 4x°= 45° +15° (vert. opp angles)
4x°= 60° (simplify)
x°= 60° ÷4 (÷4 on both sides)
x°= 15°
Thus, x= 15.
2) (x+12)° +100° +x°= 180° (adj. angles on a str. line)
2x° +12°= 180° -100°
2x°= 80° -12°
2x°= 68°
x°= 68° ÷2
x°= 34°
x= 34
3) 3x°= 120° (vert. opp. angles)
x°= 120° ÷3
x°= 40°
x= 40
Abbreviations:
1. vert. opp. angles
- vertically opposite angles
- This means that when 2 straight lines intersect, the angles facing opposite each other are equal.
2. adj. angles on a str. line
- adjacent angles on a straight line
- the sum of the angles that lie on a straight line is 180°
Which is the inverse of the function f(x) = x2 − 4?
y = x2 − 4
Answer:
The inverse of f(x) is
y = x² - 4
x = y ² - 4
y² = x + 4
y = √x + 4
The inverse of the function is y = √x +4
Hope this helps.
Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths
Answer:
Tangent B = eight-sixths
Step-by-step explanation:
Data
AB: 6 unitsAC: 8 unitsFrom tangent definition:
tan(β) = opposite/adjacent
where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.
In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:
tan(B) = AC/AB
tan(B) = 8/6
Answer:
B is the correct option here
Step-by-step explanation:
hope that this helps. Peace and love
Find the surface area of the rectangular prism.
7 km
5 km
3 km
Answer:
142 km^3
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(7*5+3*5+3*7)
A=142
Answer:
[tex]142km^{2}[/tex]
Step-by-step explanation:
you need to find the area of every side and then add them all together so
you do the equation
[tex]2[(7*5)+(3*5) + (7*3)][/tex]
I multiply everything by 2 because there is 2 of every side
once you solve this you get the answer of [tex]142km^{2}[/tex]
RSTU is a parallelogram. Solve for x. ANSWERS: A) –5 B) 10 C) 8 D) 0
Answer:
D) 0
Step-by-step explanation:
In a ║gm, opposite sides are parallel and equal.
So,
RS = UT
=> x+5 = 2x+5
=> 2x-x = 5-5
=> 2x = 0
=> x = 0
Answer:
Step-by-step explanation:
i think 0
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
The sum of all digits in the numbers 44, 45, and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
Answer:
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127
Step-by-step explanation:
The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 2 + 5 = 127
The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.
a tennis player is standing 12 meters from the base of the net when he hits the ball.the ball passes over the net and lands on the other side 6 meters away from the base of the net. if the height of the net is 1.5m , find the height of the ball when its struck by the player?
A) 3.5m
B)4.5m
C)4.0m
D)4.25m
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
B
Step-by-step explanation:
The next time Bus A leaves (75 minutes from 6:00), Bus B will also leave because 75 / 15 is a whole number. 75 minutes from 6:00 is 7:15 a.m.
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Hi, Please i need help with this question. Workings would be deeply appreciated .
A straight line which passes through the point (3,-4) makes intercept 3k and -5k on the x and y axes respectively. Find the value of k
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
40. Find the perimeter of the figure below.
Answer:
24 cm
Step-by-step explanation:
To find the perimeter of the shape:
3+3+6+6=18
Perimeter of rectangle is 18
Triangle is equilateral, and therefore, all it’s sides are the same.
The final step is:
3+3+6+6+6= 24
Answer:
Option B. is the correct choice.
Step-by-step explanation:
Perimeter = 3+6+6+3+6
= 24 cm
Best Regards!
Pls help don’t know how to do this one
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
How do you graph solutions for inequalities on a coordinate plane?
Answer:
colorizing
Step-by-step explanation:
you should colorize the area that is the answer to an inequality on plane. thus, the colored area refers to the answer of it.
which expression is equivalent to 2/9 x 3/4
Answer:
0.16666666666667
Step-by-step explanation:
Let me know if this is correct.
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2}{9} \times \frac{3}{4} \\ \\ = \frac{2 \times 3}{9 \times 4} \\ \\ = \frac{6}{36} \\ \\ = \frac{1}{6} \\ [/tex]
Please answer if you know
5y^2 - 2 = 3y
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
It's strawberry season, so Monica wants to make strawberry jam. She buys all of the strawberries left at her local town market for a total of $25.50. If the strawberries cost $4.25 per quart, how many quarts does she buy?
Answer:
6
Step-by-step explanation:
25.5/4.25= 6
Answer: 6
Step-by-step explanation:
What is the greatest common monomial factor of: 44k^5 - 66k^4 + 77k^3?
Answer:
11k^3 (4k^2 - 6k +7)
Hope this helps :)
which term best describes the function represented by the graph?
A) Exponential Growth
B) Exponential Decay
C) Linear Decreasing
D) Linear Increasing
Answer:
D
Step-by-step explanation:
Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)
Solids X and Y are similar.
X has volume of 64 cm3
Y has volume of 729 cm3
The surface area of X is 208 cm2
Work out the surface area of Y.
Answer: 2,369.25 cm3
Step-by-step explanation:
Hi, to answer this question we have to use proportions:
X has volume of 64 cm3 and s surface area of 208 cm2
The proportion is = volume / surface area = 64/208
Y has volume of 729 cm3
Volume / surface area = 729/ s (surface area of y)
64/208 = 729/ s
Solving for s:
s = 729 / (64/208)
s = 2,369.25 cm3
Feel free to ask for more if needed or if you did not understand something.
BD is the bisector of ∠ABC. Determine the measure of ∠ABD. ANSWERS: A) 90° B) 55° C) 40° D) 45°
Answer:
D) 45
Step-by-step explanation:
When a line bisects an angle, it cuts the angle into two equal halves. This means that ABD and DBC have the same angle measure, which is half of 90 degrees or 90/2=45. Hope this helps!
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?
Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…
Step-by-step explanation:
help! I’m not sure if it’s c or d thanks!!
Answer:
i think its c
Step-by-step explanation:
d looks even if that makes sense
Answer:
C cannot be represented by a linear function
Step-by-step explanation:
We can draw a line to represent the points, then it would be a linear functions
A,B and D can be represented by a linear function
C is a curve
Given the polynomial function below, find F(-9).
F(x) = -x2 - 10x-2
O A. -173
O B. -11
O C. 7
O D. 169
Answer:
C. 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = -x² - 10x - 2
F(-9) is x = -9
Step 2: Evaluate
Substitute: F(-9) = -(-9)² - 10(-9) - 2Exponents: F(-9) = -(81) + 90 - 2Simplify: F(-9) = -81 + 90 - 2Add: F(-9) = 9 - 2Subtract: F(-9) = 7I Need Help Please I'm Out Of Time. :(
Answer:
Class A is using 60% salt solution while Class B is using a 50% salt solution. So Class A's solution is saltier. 3/5=0.60 which equals 60%. 2/4=0.50 which equals 50%. That's how I know it is saltier
Answer:
3/5 and 2/4
You can cross multiply
3 x 4 = 11
2 x 5 = 10
3/5 is bigger
You can also convert into decimal
3/5=0.6
2/4=0.5
Hope this helps
Step-by-step explanation:
What is the measure of angle A'?
45º
63º
72º
98º
Answer:
In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.
Step-by-step explanation:
Angles are measured in degrees ( °), using a protractor. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor. hope this helps you :)
There are 50 children on the school basketball team, 60% of
the children are senior students. 80% of the seniors and 40%
of the juniors stay at the after-school program. How many more seniors than juniors stay at the after-school program?
Answer: 16 more seniors than juniors stay at the after-school program
Step-by-step explanation:
50 * 60% = 50 * .6 = 30
30 * 80% = 30 * .8 = 24
50 - 30 = 20
20 juniors and 30 seniors in total
———————————————
20 * 40% = 20 * .4 = 8
24 - 8 = 16
Answer:
16 more seniors stay after school or
Step-by-step explanation:
50/kids
50 x 60% =! 30/Seniors and 20/Junior30 x80% = 24/ seniors stay after school20 x 40% = 8/ juniors stay after school24 - 8 = 16 more senior