Answer:
G=39, F=141
Step-by-step explanation:
Let us set up equations, with G and F as variables.
Since G and F are supplementary, they must add up to 180.
G+F=180
Given the equation, we can set it up too
F = 4 * G - 15
Here, we can solve for this equation by plugging the second equation into the first one with substitution
G+4*G-15=180
simplify and solve
5G=195
G=39
Plug this into the first equation to solve for F:
39+F=180
F=141
We can plug both answers into the second equation to check and find that we are indeed right.
What is the measure of
Answer:
∠B = 82°Step-by-step explanation:
To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!
=> 180 - 143 = ∠A=> ∠A = 37°Since we have found ∠A, we can now find ∠B.
=> 61 + 37 + ∠B = 180=> 98 + ∠B = 180=> ∠B = 180 - 98=> ∠B = 82°Conclusion:
We have finally found out our answer and our answer is '∠B = 82°'.
[tex]GeniusUser[/tex]
please i need help with this
Given :-
Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .To Find :-
The equation of line q .Solution :-
The equation of the line p is ,
[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]
[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]
[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)
[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6
[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x
[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9
Hence the required answer is y = -3/5x - 9 .
Answer:
For Perpendicular lines you have to know
Step-by-step explanation:
Slope of P ×slope of q=-1 (always since they are perpned..)
so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p
so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes
And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b
so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3
uniting the denominater ==>y=-3/5x - 45/5
so that q equation is :y=-3/5x - 9
Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate
Answer: 36.4 seconds
(Unitary method)
5 meters take 2 seconds
1 meter takes 2/5 seconds
91 meter takes 2/5 * 91 --> 36.4 seconds
The time taken by Andre to run 91 meters is 36.5 seconds.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled by Andre=5 meters in time t=2seconds
Thus Andre's speed = 5/2
=2.5 m/sec
Thus time taken to run 91 m is = 91/2.5
=36.5 seconds
Hence, The time taken by Andre to run 91 meters is 36.5 seconds.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ2
Help pleaseeee :,) 100 points
Answer:
x = 125
Step-by-step explanation:
Given equation:
[tex]\log_224-\log_23=\log_5x[/tex]
[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]
[tex]\implies \log_28=\log_5x[/tex]
Rewrite 8 as 2³:
[tex]\implies \log_2(2^3)=\log_5x[/tex]
[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies 3\log_22=\log_5x[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies 3(1)=\log_5x[/tex]
[tex]\implies \log_5x=3[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^3=x[/tex]
[tex]\implies x=125[/tex]
Correct me if I'm wrong, isn't the Distance from A to C be 7?
Cords:
A (1,0)
B (1,6)
C (5,3)
Answer:
no you're not wrong go with your gut
Step-by-step explanation:
PLS ANSWER AND I WILL MARK AS BRAINLIST
Answer:
the correct answer is -8
Step-by-step explanation:
Raise -2 to the power of 3.
Answer:
Step-by-step explanation:
(-2)*(-2)*(-2) = -8
In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
Additional comment
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
Answer:
60
Step-by-step explanation:
The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.
Answer:
[tex]12,000\geq 4t+8,000[/tex]
Step-by-step explanation:
Any help wit this one
Answer:
22.5 centimetres per second.
Step-by-step explanation:
To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.
14.) AXYZ is shown.
Y
124°
34°
22°
X
Z
What are the side measures in order from
least to greatest?
Answer:
22 , 34 , 124
Step-by-step explanation:
hope this helps!
Solve 7x2-11x+13=0 by completing the square
Answer:
i think its 16
Step-by-step explanation:
Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.
Candi would be taken medicine A for 11 days for her to complete the medication.
1 L = 1000 ml
Candi needs to take 15 ml of Medicine A three times daily. Therefore:
Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L
Since the bottle contains 5 L, The number of days she needs to take the madication is:
Number of days = 5 L / 0.045 L = 11 days
Candi would be taken medicine A for 11 days for her to complete the medication.
Find out more at: https://brainly.com/question/2077866
Average 8, 14, and 11
Answer:
Step-by-step explanation:
you add 8,14, and 11 to get 33 then you divide it by 3, because there are 3 numbers meaning the average is 11.
If that makes, all you have to do is add up all the numbers then divide by the amount of numbers you see to find the average of the numbers.
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\text{The word \underline{average} is basically the \boxed{\bf mean} of a data set. When you }\\\large\text{hear or see the word \underline{average} in math think of its asking you to \boxed{\bf find \ your \ total}}\\\large\text{in your data set.}[/tex]
[tex]\large\text{Here is the formula to make it easier to solve}\downarrow[/tex]
[tex]\mathbf{mean = \dfrac{sum\ of\ all\ terms}{number\ of\ terms}}}[/tex]
[tex]\large\text{YOUR EQUATION:}[/tex]
[tex]\mathbf{average = \dfrac{8 + 14 + 11}{3}}[/tex]
[tex]\mathbf{\dfrac{8 + 14 + 11}{3}}[/tex]
[tex]\mathbf{= \dfrac{22 + 11}{3}}[/tex]
[tex]\mathbf{= \dfrac{33}{3}}[/tex]
[tex]\mathbf{= \dfrac{33\div3}{3\div3}}[/tex]
[tex]\mathbf{= \dfrac{11}{1}}[/tex] [tex]\mathbf{\rightarrow 11\div1}[/tex]
[tex]\mathbf{= 11}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer should be: \textsf{11}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
So I am about to ask three math points so whoever comments on this first and answers my next question will get 100 point :)
Answer:
lets get started
Step-by-step explanation:
Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
Answer:
x = - 0.89
Step-by-step explanation:
x - 8.2 = - 9.09
x = - 9.09 + 8.2
x = - 0.89
Answer:
-0.89
Step-by-step explanation:
equivalent expression for: 3(1-7)
Answer:
Multiply the number in the parantheses by 3. Then subtract them.
Step-by-step explanation:
In the equation "y=mx+b" to find the answer do you have to multiply m and x then add b?
Answer: no.
Explanation:
As an example, let's use y=2/3x-8.
In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.
Explain how you would solve the problem below.
20% of 60
30 POINTS!
Find the gravitational force between Earth (5.97 x 1024 kg) and the Sun (1.99 x 1030 kg) knowing they are 1.48 x 1011 m apart.
Answer:
The correct answare would be 3.54 x 10^22 N
What is differentiation ?
Answer:
differentiate
for example what is difference between this and that
ababccaaadadaddaddaa
Answer:
ababababababababbbababbbababbababaaaaaabababbababab
Step-by-step explanation:
hru and thank u for this question
Answer:
dsvrg
Step-by-step explanation:
slope = 1/2 goes through (2,6)
if n=11 what is p pls help me
p=49 1/2 that's the answer i got you lil guy
In a week, Tracy earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45. How much does Kayla earn?
Answer:
$57.45
Step-by-step explanation:
102.45=2x-12.45
2x= 102.45+12.45
2x=114.90
x= 114.90/2
x=$57.45
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)
I will mark you brinilylist if you got the best aswer
Answer:
-5
Step-by-step explanation:
considering they are counting in whole numbers it should be -5
solve one step equation
5x = -15
Answer:
x=-3
Step-by-step explanation:
This is a one step solution all you do is divide 5 into -15
-15/5 = -3
so -3 = x
pls help everyone this is due tomorrow at 8 am <3
Answer:
e=19.6h
Step-by-step explanation:
If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.
21 h 1 hour
--------- = ------------------
411.60 dollars xdollars
To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.
411.60 / 21= $19.6
Now, since we know the unit rate, we can make an equation!
e=19.6h
3
5
+
2
3
=
whats the answer
Answer:
19/15 is the answer
what is the slope of the line
Answer:
The slope is 0.8 or 4/5.
Step-by-step explanation:
Let's take two points on a line. (-2,0) and (3,4).
Now, determine the rise and run.
Rise: 4Run: 5Slope = Rise/Run
=> 4/5Conclusion:
Therefore, the slope is 0.8 or 4/5.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
The answer is rise over run
Step-by-step explanation:
You divide the rise coordinate on the Y axis of the X coordinate
Thirty-six members of the choir, or 30% participated in the talent show. How many total students are in the choir?