Answer:
x = 52
m<ACD = 159
m<ACB = 21
Step-by-step explanation:
1) Set up an equation.
2x + 55 = 3x + 3 (the two interior angles on the opposite of the triangle and the exterior angle are equal to the exterior angle)
2) Solve for x.
2x + 55 = 3x + 3
-x + 55 = 3
-x = -52
x = 52
3) Substitute 'x' into each angle required to find m<ACD and m<ACB.
m<ACD = 3(52) + 3
= 156 + 3
= 159
CHECK:
2(52) + 55 = 159
104 + 55 = 159
159 = 159
m<ACB + m<ACD = 180
m<ACB + 159 = 180
m<ACB = 21
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
When Jose woke up the temperature was 74°. It
reached a high temperature of 91°. What was
the percent of increase of these temperatures?
Answer:
22.97
Step-by-step explanation:
Given that,
Initial temperature = 74°
After some time, the new temperature = 91°
We need to find the percent increase in the temperature.
The formula for the percentage increase is given by :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{91-74}{74}\times100\\\\=22.97\%[/tex]
So, the increase in temperature is 22.97%.
The discount price of a hat is $24 whats the regular price if the discount is 20%
Answer:
30
Step-by-step explanation:
discounting by 20% is the same as marking to 80% of the original cost. 80% = .8
set up equation and solve
.8x=24
x=30
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
-15 = 8z + 7
what is z?
Answer:
-2.75
Step-by-step explanation:
Subtract 7 by both sides to get -22 = 8z. Divide 8 on both sides. You get -2.75
Can someone solve this problem?
[tex]8y - 7 + 7[/tex]
Thank you very much.
Also Hedland gets a shoutout.
Slope of the line that passes through (6,0) and (0,-6)
Hey there!
The formula is:
• m = rise / run
• m = y₂ – y₁ / x₂ – x₁
• y₂ = –6
• y₁ = 0
• x₂ = 0
• x₁ = 6
• Equation: “–6 – 0 / 0 – 6”
–6 – 0 = –6 ⬅️ numerator (TOP number)
0 – 6 = –6 ⬅️ denominator (BOTTOM number)
Equation: –6 / –6
SOLVE above and you will have your ANSWER.
–6 / –6 = 1 because double negatives makes a negative.
The slope of line that passes through your given points is: 1
Answer: 1 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Armando is baking 36 batches of brownies for the bake sale. Each batch of
browries takes 1 1/15
cups of flour. What is a reasonable estimate of the
amount of flour that he will need to bake all thirty-six batches of brownies?
A.18
B.36
C.39
D.72
Answer:
apple
Step-by-step explanation:
Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.
Answer:
m = .45
p = .45w
______
.45 = 9/20
Explanation:
m is the rate of change equal to the price over the weight or p/w.
Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.
We can prove this by dividing each price by its weight to find this proportion.
1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45
1.71/3.8 = 171/380 = 9/20 = 0.45
2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.
Since equal the same value, this means that 9/20 or .45 is our proportion.
in terms of p = mw
p/w = 9/20.
p = mw → p/w = m → m = p/w = .45 .
Thus, p = .45w,
so m = .45.
Which means that for every .45 or 9/20 w or weight, there is a price of $1.
Which statements are true? Select each correct answer.
A −2 is farther from zero on the number line than −1 , so |−2|>|−1| .
B The absolute value of −2 is positive.
C The absolute value of −2 is less than the absolute value of 2.
D Since −2 is 2 units to the left of 0, |−2|=−2 .
Answer:
A and B
Step-by-step explanation:
What is the value of x??
Answer:
160
Step-by-step explanation:
Using Exterior angle theorem
30+130=160
The top of a 25-foot ladder is sliding down a wall at a rate of 3 feet per second. When the top of the ladder is 15 feet from the ground, what is the rate of change between the bottom of the ladder and the wall?
Answer:
1.8ft/s
Step-by-step explanation:
Using the formula for calculating Speed as shown:
Speed = Distance/Time
Time = Distance/Speed
t = d/s
Given
d1 = 25 foot
s1 = 3ft/s
d2 = 15ft
Required
s2
Using the formula;
d1/s1 = d2/s2
s2 = s1d2/d1
s2 = 3*15/25
s2 = 45/25
s2 = 1.8ft/s
Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s
Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
Please help it says im wrong im giving brainliest
Answer:
ohh
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.
1/5=3/15
HTH :)
Two pounds of grapes cost $6. How many pounds of grapes cost $1? *
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Tis will be your answer :D
Which expression shows the result of applying the distributive property of 3(2x – 6)?
(NEED ANSWER QUICK!)
52 - 3
20 – 18
62 - 6
6.2 – 18
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
3(2x - 6)
Step 2: Expand
Distribute 3: 3(2x) + 3(-6)Multiply: 6x - 18Step-by-step explanation:
[tex] \huge3(2x - 6) = 6x - 18[/tex]
(6x-18) is the right answer.Help me i'll help you back
Answer:
A, C, B, respectively
Step-by-step explanation:
science(density and buoyancy)
Help me with this pls!!
Answer:
5 3/4 hours
Step-by-step explanation:
They drove 3 1/2 hours then 2 1/4 hours. We need to find the total of these to find how long this part of the trip was
(3 + 1/2) + (2 + 1/4) = 5 + 1/2 + 1/4
For 1/2, we can multiply both the numerator and denominator by 2 to get
1/2 = 2/4
Substituting that in, we get
5 + 2/4 + 1/4
= 5 + 3/4 hours
Which model represents 2.36 divided by 4?
Answer:
[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]
(5x + 75)
(3x+ 25)
a. x = 80
b. x = 10
c. X= -25
d.x=25
Answer:
c. x=-25 is the answer
(5x+75)
- (3x+25 )
=2x +50
×=-25
a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle
Answer:
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180-40-60 = 80
80 degrees
80 degrees is an acute angle.
Answer:
It would be 80 degrees which is an acute angle
Step-by-step explanation:
A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!
If z>0, what is the quotient of 20√z6 ÷ √16z7 in simplest radical form
Answer:
5√z/z
Step-by-step explanation:
i took the test(:
The quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
How to express a simplest radical form?Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Given
[tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex]
Rewrite as fraction: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{16z^{7} } }[/tex]
Factor and rewrite the radicand in exponential form: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2}. z^{6} .z} }[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex] :
= [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2} .\sqrt{z^{6}.\sqrt{z} } } }[/tex]
Simply the radical expression, we get:
= [tex]\frac{20z^{3} }{4z^{3}\sqrt{z} }[/tex]
Reduce fraction to the lowest term by canceling the greater common factor, we get
= [tex]\frac{5}{\sqrt{z} }[/tex]
Rationalize the denominator
= [tex]\frac{5\sqrt{z} }{\sqrt{z} .\sqrt{z} }[/tex]
= [tex]\frac{5\sqrt{z} }{z}[/tex]
Hence, the quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
Find out more information about simplest radical form here
https://brainly.com/question/12966955
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a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are
of different suits. Find the probability of your winning?
b) A coin is tossed 5 times. What is the probability that the first toss is a head
or exactly 2 out of the five tosses are heads?
c) In a shuffled 52-card deck, what is the probability that neither the top nor
the bottom card is a heart?
d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You
reach in and grab 15 marbles. What is the probability that they are all the
same colour?
Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10
SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.
Answer:
1-4
An exponent is the amount of times a number is multiplied by itself
Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)
5-10
You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.
Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64
And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!
1, 172 2, 300 3, x3 4, p5
i will put the rest in the comments
8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned on a diagonal and took Main Street back home. How far did Cory drive? show work
Answer:
Cory drove 56 miles.
Step-by-step explanation:
In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:
7 ^ 2 + 24 ^ 2 = X ^ 2
49 + 576 = X ^ 2
2√625 = X
25 = X
Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).
What’s 65+56+4+-4
;)
Answer:
119
Step-by-step explanation:
Nancy and Linda go to their favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off coupon to use for her purchase of $25. What is the difference between the total the friends will pay individually
Answer:
Step-by-step explanation:
2.50
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.
The difference between individual pay is $6.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Nancy:
Coupon = 5% off
Cost of the purchase = $30
Amount to pay:
= 30 - (5/100) x 30
= 30 - 30/20
= 30 - 1.5
= $28.5
Linda:
Coupon = 10% off
Cost of the purchase = $25
Amount to pay:
= 25 - (10/100) x 25
= 25 - 2.5
= $22.5
The difference between individual pay:
= 28.5 - 22.5
= $6
Thus
The difference between individual pay is $6.
Learn more about percentages here:
https://brainly.com/question/11403063
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Can someone help me please!!
9514 1404 393
Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.
You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer: 52
Step-by-step explanation: Friend me and yes that is right!
Tyrone walked 8 miles in a walkathon at a speed of 2 miles per hour. How long was he walking?
4 hours
6 hours
10 hours
16 hours
Answer:
4 hours
Step-by-step explanation:
Answer:
the answer is 4 HOURS
Step-by-step explanation:
i took the exam
Algebraic Expression
43 times greater than
the sum of 57 and 93