x = 20°
The total sum of interior angles in a triangle is 180°
x + 5 + 7(x) - 5 + x = 180°x + 7(x) + x + 5 - 5 = 180°9(x) = 180°x = 20°Answer:
D) x = 20
Step-by-step explanation:
Theorem
The sum of the interior angles of a triangle is 180°
Solution
Add the angles and equate to 180:
⇒ (x + 5) + (7x - 5) + x = 180
Collect like terms:
⇒ x + 7x + x + 5 - 5 = 180
Combine like terms:
⇒ 9x = 180
Divide both sides by 9:
⇒ x = 20
Please help me with this
Answer:
Look at the photo.
Step-by-step explanation:
The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.
For the second one you start at the coordinate (0, -2) and then move down two and move right one.
Find the area of the irregular figure.
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
If 100 grams of water evaporated into a gas, how much mass will the gas have?
Answer: 100 grams
Step-by-step explanation:
Mass remains constant. So 100 grams of water will be 100 grams of water vapor
Please help meeeeeeeeeee
6x^3 - 15x^2 - 3x / 3x
simplify the polynomial
Answer:
6x³ - 15x² - 1
3x divided by 3x is 1
So, here we are to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]
We can simplify it as,
[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionABCD is a parallelogram with AB = 24 mm and BC = 48 mm. Find the lengths of CD and AD
Answer:
Step-by-step explanation:
find two rational and irrational numbers between 2 and 2.5
Answer:
Rational:2.1,2.2
Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]
Step-by-step explanation:
Trial and error
The function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)
Answer:x=4 (0,0)
Step-by-step explanation:
Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.
If andre collects $9.80, how many cups did he sell?
Answer:
we need more information
help please i been stuck on this question for the last hour im on the verge of tears
Answer:
1/2
Step-by-step explanation:
It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!
Answer: the answer is 1 over 2 as a fraction
Step-by-step explanation:
I NEED HELP FAST
I will mark brainliest whoever gets it right
its b i know
Step-by-step explanation:
Can someone help me find the domain of this??
RIGHT ANSWERS ONLY PLS
NO LINKS!
Answer:
D, assuming that the function continues past the line shown
Step-by-step explanation:
There is no reason that the X is ending on either side. There should be arrows on both ends of the graphed function though.
Which correctly shows this equation
solved for w?
The equation solved for w is:
w = A/l
The correct option is A.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.
Starting with the equation:
A/l = lw/l
We can simplify it by multiplying both sides by l:
A = lw
To solve for w, we need to isolate it on one side of the equation.
We can do this by dividing both sides by l:
A/l = w
Therefore, the required equation is A/l = w.
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Answer number 16 please thank you
Find the product of 3.2 and 4.6
Answer:
7.8
Step-by-step explanation:
3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8
If 3/x = 5/y, what is the value of y/x?
Answer: 5/3
Step-by-step explanation:
1. 3/x = 5/y
2. Cross multiply
3y = 5x
3. Dividing the sides by 3
y = 5x/3
4. Dividing the sides by x
y/x = 5/3
Select the correct answer.
Consider the given function. Which graph represents the given function?
Answer:
Given:
f(x) = 5 when x < -2f(x) = 3 when -2 ≤ x < 0f(x) = 0 when 0 ≤ x < 2f(x) = -3 when x ≥ 2< or > = open circle
≤ or ≥ = closed circle
So we are looking for:
open circle at (-2, 5) with a line to the leftclosed circle at (-2, 3) with a line segment to an open circle at (0, 3)closed circle at (0, 0) with a line segment to an open circle at (2, 0)closed circle at (2, -3) with a line to the rightTherefore, the attached is the correct answer.
please help!!! I need this and I also don't understand
Answer:
Step-by-step explanation:
(i)
PQRS is a parallelogram (given)
∴ QT = TS (Diagonals of a parallelogram bisects each other)
also, QT = RM (given)
∴TS = RM
PQRS is a parallelogram,
∴RT = PT (Diagonals of a parallelogram bisects each other)
also, SM = PT (given)
∴RT = SM
TS = RM
RT = SM
∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)
(ii)
QP // RS (Opposite sides of a parallelogram are parallel)
∴ ∡RQP = ∡NRS (Corresponding ∡s)
RTSM is a parallelogram(Proved above)
∴MS // RT (Opposite sides of a parallelogram are parallel)
∴NS//RP
∴∡RNS = ∡ QRP (Corresponding ∡s)
in ΔPQR and Δ NSR,
QP = RS (Opposite sides of a parallelogram are equal)
∡RQP = ∡NRS (Proved above)
∡RNS = ∡ QRP(Proved above)
∴ ΔPQR≡ΔSRN (AAS)
Corresponding sides of ≡ Δs are equal, ∴QR = RN
I got the question wrong
Answer:
Philadelphia
Step-by-step explanation:
Philadelphia
in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.San Diego
in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 millionHouston
in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.Phoenix
in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.
Explanation:
The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.
The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).
Only Philadelphia experiences population decline during this time period.
Simplify the expression
Answer:
[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]
The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...
[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]
We now have to simplify this expression. Let's do that.
[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]
Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!
[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]
With that information, we have solved the problem, your final answer is tanɵ
What have we learned?
We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use section formula ~
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]
And since mid point divides a line segment Into two equal parts, m : n = 1 : 1
so, take m = n = 1
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]
Now, let's find y - coordinate ~
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]
So, coordinates of midpoint is ~
[tex]\qquad \sf \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]
If f(x)= 3x^3+17x^2+22x+8 and x+4 is a factor of f(x), then find ALL the zeros of f(x) algebraically.
Answer:
The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)
Step-by-step explanation:
This circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. What is the value of $h+k$?
Answer:
17
Step-by-step explanation:
The geometry program that drew the circle through the three given points wrote this equation for the circle:
(x -6)^2 +(y -11)^2 = 130
Compared to the standard form equation, ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
we can see that the center is (h, k) = (6, 11).
The sum h+k is 6+11 = 17.
__
Additional comment
The center is at the point of intersection of the perpendicular bisectors of chords of the circle.
Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.
We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is
y -1 = 2(x -1)
For x=6, the point of intersection of the chord bisectors is ...
y -1 = 2(6 -1) = 10
y = 11
The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.
A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?
HELPPP
Answer: 96
Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.
Your local firefighters are having a fundraiser by selling tickets to an all you can eat pancake extravaganza. A child's ticket cost $6.50 each and an adult's ticket cost $8.50 each. They sell a total of 350 tickets and raise a total of $2695. How many children's tickets were sold?
Please Help!!
Answer:
140 child tickets were sold
Step-by-step explanation:
a = number of adult tickets
c = number of child tickets
a+c = 350
6.50 c + 8.50a = 2695
Multiply the first equation by -8.50 together
-8.50c -8.50c =-2975
Add this to the second equation to eliminate a
-8.50c -8.50c =-2975
6.50 c + 8.50a = 2695
---------------------------------
-2c + 0a = -280
Divide by -2
-2c/-2 = -280/-2
c = 140
What happens when a base dissolves?
Answer:
When dissolved, bases release hydroxide ions, OH-(aq) into solution.
Step-by-step explanation:
Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"
Answer: It increases the concentration of OH- in solution.
Step-by-step explanation:
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation:
New
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.
Area of rectangleLet l is the length and b is the breadth of the rectangle.
then the area of the rectangle is ab.
How to find the dimensions of the original rectangle?Given One side of a rectangle is 7 inches longer than another side.
then shorter side length is x and the large side length is 7+x.
then the area of the original rectangle is x(x+7)
Now calculate the sides of the new rectangle.
longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x
The shorter side increases by 2 inches then x+2.
So new rectangle area is (x+4)(x+2)
Both rectangle area is equal then
(x+4)(x+2) = x(x+7)
x² +2x+4x+8 = x²+7x
x²+6x+8 = x²+7x
x²-x²+7x-6x = 8
x = 8
Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.
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At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 70 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
Step-by-step explanation:
49
HELPPPPPPPPPPPPPPPP:
Answer:
Formula of Mean= Efx/n
Formula of Median=n+1/2
I think it will help you
Can someone help me with this easy math problem.
It's a geometric sequence
common ratio=r=84/21=4First term 1.3125Formula:&
[tex]\\ \sf\longrightarrow a(n)[/tex]
[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]
[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]
Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
yes it is true and second is false