Answer:
Part A: D. [tex]3x+x=180[/tex]
Part B: Smaller angle [tex]=45^{\circ}[/tex], larger angle [tex]=135^{\circ}[/tex]
Explanation:
The term supplementary is used when the sum of two angles add to [tex]180^{\circ}[/tex].
Part A:
From the information given that the "angles are supplementary" and the "measure of one angle is 3 times the measure of the other", the equation to find for x can be written as:
[tex]3x+x=180[/tex]
Part B:
To find the measure of each angle, we can first find the measure of the smaller angle [tex]x[/tex]:
[tex]3x+x=180[/tex]
[tex]4x=180[/tex]
[tex]x=45^{\circ}[/tex]
[tex]\therefore[/tex] The smaller angle is [tex]45^{\circ}[/tex]
Since the measure of the larger angle is [tex]3[/tex] times the measure of the smaller angle:
Larger angle [tex]=3x[/tex]
[tex]=3(45)[/tex]
[tex]=135^{\circ}[/tex]
[tex]\therefore[/tex] The measure of the larger angle is [tex]135^{\circ}[/tex]
Hope this helps :)
A triangle on a coordinate plane is translated according to the rule T-3,56%, y). Which is another way to write this
rule?
(x, y) - (x-3, y + 5)
(x, y) - (x-3, y-5)
(x, y) - (x + 3. y-5)
(x, y) - (x + 3, y + 5)
Given:
Consider the rule of translation of a triangle is [tex]T_{(-3,5)}(x,y)[/tex].
To find:
The another way to write this rule.
Solution:
We have, the rule of translation [tex]T_{(-3,5)}(x,y)[/tex].
We know that [tex]T_{(a,b)}(x,y)[/tex] is defined as
[tex](x,y)\to (x+a,y+b)[/tex]
So, [tex]T_{(-3,5)}(x,y)[/tex] can be defined as
[tex](x,y)\to (x+(-3),y+(5))[/tex]
[tex](x,y)\to (x-3,y+5)[/tex]
It means, the triangle is translated 3 units left and 5 units up.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
20.Les membres de la famille Veilleur sont en vacances, le premier pour, **
partent de Québec et vont a Montreal (250 km), puis au Parc proina
Sandbanks (385,8 km), en Ontario, ou ils passent les 4 jours sants. Ensuite,
ils quittent le parc pour se rendre aux chunes du Niagara (245 Akm), ou
passent le reste de la journée, le lendemain, la famille prend la roue vers
Pittsburgh (389km) afin de visiter des amis, elle y reste 5 jours en tout
(incluant la journée sur la route).
Pour rentrer à la maison, les Veilleux choisissent un kinéraire plus direct de
1 227 km qu'ils parcourent en 2 jours, en faisant la moitié du trajet chausse
jour. Leur voiture consomme en moyenne 6,7 L d'essence par 100 km, ale
cout moyen de l'essence est de 1,22S le titre. Tout au long du voyage, Charles
Veilleux note plusieurs informations dans son journal de bord,
Aide Charles à compléter son journal.
Journal de bord
Quantité totale d'essence consommée
(arrondie à l'unité pres)
Nombre de jours du voyage:
Distance parcourue pour aller à Pittsburgh:
coût total de l'essence:
Coût moyen de l'essence consommée
par jour (arrondi au centieme pres):
Distance parcourue par jour pour le retour:
Distance totale parcourue durant les vacances:
Answer:
Quantité totale d'essence consommée: 167 litres (arrondie à l'unité pres)
Nombre de jours du voyage: 12 jours (je pense! Je ne comprends pas "jours sants" ? Suivants? )
Distance parcourue pour aller à Pittsburgh: 1269.8 km
coût total de l'essence: $ 204.11
Coût moyen de l'essence consommée par jour (arrondi au centieme pres): $17.01
Distance parcourue par jour pour le retour: 613.5 km
Distance totale parcourue durant les vacances: 2496.8 km
Step-by-step explanation:
Jour 1 Montreal à Parc Sandbanks
2,3,4,5 Parc Provincal Sandbanks
6,7,8,9,10 Pittsburgh
11,12 Pittsburgh à Quebec
Distance: ajouter les numéros jours par jour.
Essence consommée: 6.7 litres pre 100, donc diviser la distance totale par 100 puis multiplier par litres par km
2496.8/100 = 24.968 × 6.7 = 167.2856 et arrondir le total: 167.3
Coût total de l'essence: Il faut multiplier le total consommée par la coût par litre, $1.22 167.3×1.22 = $204.11
Coût moyen de l'essence consommée par jour: $204.11 ÷ 12 jours = $17.01/jour
Distance parcourue par jour pour le retour: 1227km/2days = 613.5 km/jour
Distance totale parcourue durant les vacances: Ajoutez les distances journalières parcourues à Pittsburgh à la distance de retour à Quebec.
1269.8 + 1227 = 2469.8 km
Solve for x:
7x = 105
Answer:
X=15
Explanation: You have no like terms to combine and are at the last step of the algebraic equation. So, you would divide 7 on both sides. 7 by 7 cancels it out and 105 divided by 7 equals 15. Hope this helps ^-^.
The solution to the equation 7x = 105 is x = 15.
We have the equation: 7x= 105
To solve for x in the equation 7x = 105, we need to isolate x on one side of the equation.
Divide both sides of the equation by 7:
(7x)/7 = 105/7
Simplifying:
x = 15
Therefore, the solution to the equation 7x = 105 is x = 15.
Learn more about Equation here:
https://brainly.com/question/29538993
#SPJ6
PLS HELP WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
For number 1.
If x = -2.
y = 4x + 3 = 4(-2) + 3 = -8 + 3 = -5
If x = 3
y = 4x + 3 = 4(3) + 3 = 12 + 3 = 15
If x = -4
y = 4x + 3 = 4(-4) + 3 = -16 + 3 = -13
If x = -5
y = 4x + 3 = 4(-5) + 3 = -20 + 3 = -17
If x = 5
y = 4(x) + 3 = 4(5) + 3 = 20 + 3 = 23
For number 2.
If x = -2
[tex]y = x^{2} + 4 + 2x = (-2)^{2} + 4 + 2(-2) = 4 + 4 - 4 = 4[/tex]
If x = 3
[tex]y = x^{2} + 4 + 2x = (3)^{2} + 4 + 2(3) = 9 + 4 + 6 = 19[/tex]
If x = -3
[tex]y = x^{2} + 4 + 2x = (-3)^{2} + 4 + 2(-3) = 9 + 4 - 6 = 7[/tex]
If x = 4
[tex]y = x^{2} + 4 + 2x = (4)^{2} + 4 + 2(4) = 16 + 4 + 8 = 28[/tex]
If x = -4
[tex]y = x^{2} + 4 + 2x = (-4)^{2} + 4 + 2(-4) = 16 + 4 -8 = 12[/tex]
I need help on math
Answer:
its the first one
Step-by-step explanation:
i have no step by step explanation
What is the value of the function at x=3
Answer:
4
Step-by-step explanation:
Since the line of the function is passing through the point (3, 4).
Here x = 3 and y = 4
So the value of the function at x=3 is 4.
You earn $28 for washing 4 cars. How much do you earn for washing 3 cars?
Answer:
21 dollars
Step-by-step explanation:
Answer:
$21
Step-by-step explanation:
Make the original statement into a ratio.
$28/4
Simplify the fraction above.
$28/4 = 7
So, you earn $7 per car you wash.
As a result, you multiply $7 by the number of cars the question is asking you for. In this case it is 3 cars.
So, you multiply 7 x 3
7 x 3 = 21
Therefore, you will earn $21 for washing 3 cars.
Plot the points (-3, 4)(−3,4)left parenthesis, minus, 3, comma, 4, right parenthesis and (4, 4)(4,4)left parenthesis, 4, comma, 4, right parenthesis on the coordinate plane below
Answer:
The image shows the points on a coordinate axis.
Step-by-step explanation:
The first point is [tex](-3,4)[/tex].
This means that the point on the [tex]x[/tex] axis is [tex]-3[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the second quadrant.
The second point is [tex](4,4)[/tex].
This means that the point on the [tex]x[/tex] axis is [tex]4[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the first quadrant.
The image shows the points on a coordinate axis.
Answer:
7 UNITS
Step-by-step explanation:
YW :D
Find the circumcenter of the triangle.
(-1, 1)
(4,-2)
(-1, -2)
please help........
x = √(10²+24²)
= √(100+576)
=√(676)
= 26.
Answer:
26
Step-by-step explanation:
since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse
Hurry!! pls answer!! Rewrite this exponential equation as a logarithmic equation.
4e1
=
16
у+ 4 = -4(х+2) what is this in standard form?
Answer:
4x + y = -12
Step-by-step explanation:
Standard form is Ax + By = C
First, distribute the -4:
у + 4 = -4(х + 2)
y + 4 = -4x - 8
Subtract 4 from both sides:
y = -4x - 12
Add 4x to both sides:
4x + y = -12
So, the standard form equation is 4x + y = -12
The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?
A. $25
B. $93.75
C. $125
D. $100
Solve the following system of equations:
x + 3y = −4
x + 5y = −6
(1, 1)
(−1, 1)
(1, −1)
(−1, −1)
Answer:
(-1,-1)
thats where they intersect
and thats the answer
Step-by-step explanation:
plz give brainlyest
Answer:
(-1,-1)
Step-by-step explanation:
-20 > -2x + 4 inequality
Step-by-step explanation:
-20 > -2x + 4
2x > 4 + 20
2x > 24
x > 12
or
x ∈ 《12 , + ∞》
-20 > -2x + 4
-20 -4 > -2x
-24 > -2x
-24/-2 < x <inequality changes when you divide by a -ve no. >
12 < x
please help me!!!!!! asap
Answer:
(0,0)
Step-by-step:
The trip from Carville to Planesborough takes 4 hours when traveling at a constant speed of 70 miles per hour. 2 1 How long, in hours, does the trip take when traveling at a constant speed of 60 miles per hour?
Answer:
2.5 mph
Step-by-step explanation:
70 miles per hour :4 hours
35 miles per hour:8 hours
1 mile per hour:16 hours
60 miler per hour
do 16/6
2.5 hours
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
6.65 liters
Step-by-step explanation:
.95 liters multiplied by 7 equals
What are the solutions to 7x^2 + 10x -3 = x^2 + 3x?
Answer:
x=(1)/(3),-(3)/(2)
Step-by-step explanation:
Answer:
(- 3/2, 1/3)
Step-by-step explanation:
7x^2+10x-3=x^2+3x
7x^2+10x-3-x^2-3x=0
6x^2+7x-3=0
6x^2+9x-2x-3=0
3x x (2x+3)-(2x+3)=0
(2x+3)x(3x-1)=0
2x+3=0
3x-1=0
x1=- 3/2
x2= 1/3
please help me plss
Which expression is equivalent to five ninths?
( A ) 5 ÷ 9
( B ) 9 ÷ 5
( C ) 5 − 9
( D ) 9 − 5
Answer:
A) 5÷9
Step-by-step explanation:
As, 5 is a whole number
And when the number ends with "ths" it is always the denominator
So here it is ninths so 9 will be in the denominator
find the slope of the line created from the points on the table. A. 1/7 B. -7 C. 2/3 D. - 3
Table:
x y
2 14
3 7
4 0
5 -7
Answer:
B. -7
Step-by-step explanation:
Formula to find slope is (y2-y1) / (x2-x1)
Here we have 4 points to choose from, but we only need 2. I will use the first 2 points.
The y2 is 7, the y1 is 14, the x2 is 3, the x1 is 2.
Substitute these numbers into the formula.
(7-14) / (3-2)
^ This is basically -7/1, or -7.
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
Which set of data would most likely show no correlation when graphed
on a scatterplot?
Answer: A) there is no direct correlation
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!!!!!!!! You have to figure out whether its undefined or zero
Answer:
It's an undefined slope
Write on equation if the slope is 3/4
and the y-intercept is -4,
Answer:
thw abswer os tywentr yaxel
Step-by-step explanation:
Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%. If Ben makes no deposits or withdrawals, how much interest will he earn in 4 years?
9514 1404 393
Answer:
$91
Step-by-step explanation:
The amount of interest earned is given by the formula ...
I = Prt
where P is the invested amount at rate r for t years.
Filling in the given values, we find the interest to be ...
I = $650·0.035·4 = $91
Ben will earn $91 interest in 4 years.
Enter an inequality that represents the graph in the box. Please help!!
A map is drawn using a scale of 1cm/80 mi
Two cities are 280 miles apart
How far apart are the cities on the map?
Answer:
280/80 = 28/8 = 7/2 = 3.5 cm
Step-by-step explanation:
the ratio is 1cm/80mi = a cm/280mi
so you get 280cm * mi = 80mi*a cm
so a = 280/80 = 3.5
What is the value of -16 +9?
Answer
the answer is -7
Step-by-step explanation: −(16−9) =-7
Challenge A large university accepts 40% of the students who apply. Of the students the university
accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Plzzzz help
Answer:
3,500
Step-by-step explanation: