Answers
Answer:
(B) 2x + 90 = 180 is an equation that could be used to find x.
Step-by-step explanation:
Observing at the triangle, we can see that..
- We are aware of two angel measurements, both of which are 45 degrees.
One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...
45 + 45 = 90 degrees
180 - 90 = 90 degrees
As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )
Step 1 : 90 should be subtracted from both sides.
2x + 90 − 90 = 180 − 90
2x = 90
Step 2 : Divide both sides by 2.
(When I use the symbol /, it signifies I'm dividing.)
2x/2 = 90/2
x = 45
Step 3: Examine your solution to see whether it is right.
2x + 90 = 180
2(45) + 90 = 180
90 + 90 = 180 ✓
This shows that 2x + 90 = 180 is an equation that could be used to find x.
Hope this helps! :D
Related Questions
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
1. Her grandmother gave her $25 in a birthday card.
2. She earned $14 dollars babysitting.
3. She spent $10 on a ticket to the concert.
4. She donated $3 to a local charity.
5. She got $2 interest on money that was in her savings account.
Answers
The signed numbers that represent a change in money from her perspective is:
+$25
+$14
-$10
-$3
+$2
What are the signs to put in front of the amounts?When a person receives money, earns interst or his paid wages, the amount of money the person has increases. Thus, the sign to be used is the addition sign(+).
When a person pays for an item, donates to charity or loses money, the amount of money the person has reduces. Thus, the sign to be used is the subtraction sign (-).
To learn more about addition, please check: https://brainly.com/question/349488
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answers
Answer:
The answer is C hope this can help you out!
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
Answers
Question 3
Compute the probability of Susan turning 44 years old (event A), given that Carl has reached the age of 44 (event B).
Answers
Answer:
Events A and B are independent of each other, so P(B∣A)=P(B)=0.95726.
Explanation -
I got this answer from Plato.
Find the slant height of the prism
a.10
b.5
c.7
d.3
Answers
Check the picture below.
In analysis of variance, then the term factor refers to_______
a) a dependent variable
b) a treatment total
c) an independent variable (or quasi-independent) variable
d) a treatment mean
Answers
Learn with an example
Felipe's lacrosse team will play in the Hickory Hills Tournament this weekend. They will
play 6 different teams, each with a 50% chance of winning. How likely is it that Felipe's
lacrosse team will win all 6 of their games?
Which simulation could be used to fairly represent the situation?
Flip a coin 6 times. Each time the coin lands on tails, it represents Felipe's
lacrosse team winning a game.
Create a deck of 6 cards, each labeled with a different number from 1 to 6.
Pick a card, then return it to the deck, 6 times. Each time a 6 appears, it
represents Felipe's lacrosse team winning a game.
Use a computer to randomly generate 6 numbers from 1 to 3. Each time 1 or
2 appears, it represents Felipe's lacrosse team
Answers
Answer:
50% chance that they will win each game..and there's 6 games... so 3!
Step-by-step explanation:
A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?
Answers
Answer:
[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]
Step-by-step explanation:
Given Data:
Base area = [tex]A_{B}[/tex] = 108 in.²
Volume = V = 729 in.³
Required:
Height = h = ?
Formula:
[tex]V=A_{B}h[/tex]
Solution:
For h, rearranging formula:
[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]
Find the measure of each angle in the isosceles trapezoid.
Answers
Answer:
J=118
L=62
M=62
Step-by-step explanation:
In an isoseles trapezoid, the top angles are congruent to each other and the bottom angles are congruent to each other. Opposite angles are supplementary, and all angles together add up to 360.
Which expression can be simplified to the form 3\y + 3, where y is a positive integer?
Answers
Answer: Choice B) [tex]\sqrt{63}[/tex]
========================================================
Explanation:
Let's rewrite the given expression like so
[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]
We can see that the radicand is a multiple of 9 since 9 is a factor.
This immediately rules out choices C and D because 75 and 84 are not multiples of 9.
-------------
Plug in the smallest positive integer (1) for y to get
[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]
The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.
We can however get to 63 by using y = 4
[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]
Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.
Find the minimum distance from the parabola x-y^2=0
to the point (0,3).
Answers
Answer:
√5
Step-by-step explanation:
The distance from the given point to the curve can be found using the distance formula. The resulting expression can be minimized to find the minimum distance.
d = √((x2 -x1)² +(y2 -y1)²)
__
Point on the ParabolaA point on the parabola can be described by ...
x -y² = 0
x = y² . . . . . add y²
Then a point on this curve is ...
(y², y)
Distance to Given PointThe distance to it from (0, 3) is ...
d = √((0 -y²)² +(3 -y)²) = √(y⁴ +y² -6y +9)
Find the MinimumThe distance will be minimized when the derivative of the radical expression is zero:
d(y⁴ +y² -6y +9)/dy = 0 = 4y³ +2y -6
0 = 2y³ +y -3 . . . . . . . . remove a factor of 2
This will have a rational root in the set {±1, ±3}.
Trial and error shows that y=1 is the only real solution to this equation.
__
Then the minimum distance is ...
d = √(1⁴ +1² -6·1 +9) = √5
_____
Additional comment
The attached graph shows that a circle with radius √5 centered at (0, 3) will intersect the parabola at exactly one point. That confirms our solution.
[tex]tan((x/2)-(pi /2))=\sqrt2[/tex]
Answers
[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]
[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?
Answers
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
I need to solve for “x” and then for “y”.
Answers
Step-by-step explanation:
[tex]13 - 4y = 1 - y(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 13 - 4y = 1 - y \\ - 4y + y = 1 - 13 \\ - 3y = - 12 \\ y = \frac{ - 12}{ - 3} \\ y = 4 \\ \\ 7x - 3 = 6x + 3(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 7x - 3 = 6x + 3 \\ 7x - 6x = 3 + 3 \\ x = 6 \\ x = 6 \: \: \: \: \: y = 4[/tex]
What is the volume of Prism B if the volume of Prism A is 1120 in??
Answers
Answer:
140 in³
Step-by-step explanation:
The ratio of volumes of similar objects is proportional to the cube of the ratio of the linear dimensions.
__
Here, prism B is half the height of prism A, so will have (1/2)³ = 1/8 of the volume of prism A:
Vb = (1/8)×Va
Vb = (1/8)×(1120 in³) = 140 in³
The volume of Prism B is 140 cubic inches.
Stephan cuts a 50-yard ribbon. One piece is 7 yards longer than the other. What is the length of each piece?
Answers
Answer:
It should be 32 and 18 but I'm bro entirely sure
100 points
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).
Answers
Each french fry costs $1.5 and hamburger $3.75
=================
two hamburgers + two French fries = $10.50 ____ equation 1four hamburgers + three French fries = $19.50 _____equation 2Consider hambugers as "h" and fench fries as "f"
2h + 2f = 10.5 ___ equation 14h + 3f = 19.5 ___ equation 2We can solve them to find the cost of each hambuger and fench fry
Solve for f :
(10.5 - 2f)/2 = (19.5 -3f)/442 - 8f = 39 -6f-6f + 8f = 42 - 392f = 3f = 1.5Solve for h :
h = (10.5 - 2f)/2h = (10.5 - 2(1.5))/2h = 3.75Un terreno rectangular cuyo ancho mide 20 mts menos que su largo. Su área del terreno es de 150 metros cuadrados. ¿Determina las medidas del largo y del ancho?
Answers
Answer:
you are a good friend Sayed im not sure if I can get it done before I get my license back and the whole time we go back and be out in a bit I guess that was the best thing I ever heard of the beast's I have
which expression is equivalent to squareroot 36/25
Answers
The correct answer would be: 6/5
For problems 11-14, identify the property shown. 11. 16×p=16.
Answers
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
Using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + StartFraction 306 Over x + 3 EndFraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + StartFraction 306 Over x minus 3 EndFraction
Answers
Answer:
c
Step-by-step explanation:
c
Answer:
its A!!!
Step-by-step explanation:
Callie runs 30 minutes a day. She has already run 90 minutes this week. How many days will it take her to run at least 240 minutes?
Answers
150/30=5 MORE days (or 8 TOTAL days if that’s what you’re looking for)
Order the numbers from least to greatest.
13/50
22%
0.28
1/5
0.41
Answers
1/5, 13/50, 0.28, 0.41, 22%
Step-by-step explanation:
hopes this helps
Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
Answers
What's the median for 0 2 4 6 8 10
Answers
Answer:
5 would be the midian
Step-by-step explanation:
You would need to add 0+2+4+6+8+10
Then count how many numbers there are (6)
Then put it in a fraction
30/6
Then divide and then you get 5
Answer:
21,67
Step-by-step explanation:
0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67
Rewrite the equation below so that it does not have fractions.
3+ 2/3 x = 2/5
Answers
Answer:
3 + 2 divided by 3 = 2 divided by 5
Step-by-step explanation:
In the diagram below of ABC, AB ≅ AC, m∠A = 3x, and m∠B = x + 20.
What is the value of x?
A. 10
B. 28
C. 32
D. 40
Answers
Answer: B)28
Step-by-step explanation:
A garden measures 10 ft by 10 ft.
What is the area of the garden in square inches?
Answers
Answer:
1200 sq. in.
Step-by-step explanation:
(10x10)x12=100x12=1200
Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g.
Answers
Domain:-
For any real x function is not undefined .
Domain belongs to RCodomain belongs to R+
Range:-
x² always ≥0Hence
range=[1,oo)Write an expression that can be used to produce vector g from vectors e and f Explain how
you determined that expression.
Answers
Answer:
Step-by-step explanation:
vector e is (-1,5),f is (3,-4),g is (2,1)
2i+j=x(-i+5j)+y(3i-4j)
2=-x+3y (multiply by 5)
10=-5x+15y
1=5x-4y
add
11=11y
y=1
2=-x+3(1)
x=3-2=1
2i+j=1(-i+5j)+1(3i-4j)
