Answer:
SAS
Step-by-step explanation:
AB=DC which is one side
angles ABC and DCB are both right angles so they are equal
BC=BC because they are the same line segment
and since the congruent angles are between the congruent sides, its SAS
Combine the expressions below
4x+(-2x)+6+(-9)
=4x-2x=2x
=6-9=-3
=2x-3
Coefficient of y in the equation: 3(2x -1/3y) = 0 is equal to a) 3 b) 1 c)-3 d)-1
Answer:
d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer
The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3(2x -1/3y)=0.
Now, 6x-1/y=0
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Here, coefficient of y is 1.
Therefore, option B is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Engineering
When p= 3, q. I and r. 2, the
expression 2p² q3 is equal to
Answer:
[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]
!!! I need help with this question !!! I tried using the standard deviation formula but my answers are wrong. Can someone please help me! Thank you for your help!
Answer:
Step-by-step explanation:
I need help with this
bing jhwwjwiwisisuwuwywywywfsfsahajai
JK=8x+6 KL=6x+20 find JL
Answer:
14x + 26
Step-by-step explanation:
JL = JK + KL
= 8x + 6 + 6x + 20
= 8x + 6x + 6 + 20
JL = 14x + 26
Solve the following equation. for x
7x - 2 < 10
Step-by-step explanation:
7x < 10+2
7x<12
x < 12/7
Hope this helps!
Answer:
[tex]7x-2<10[/tex][tex]7x-2+2<10+2[/tex][tex]7x<12[/tex][tex]\frac{7x}{7}<\frac{12}{7}[/tex][tex]x<\frac{12}{7}[/tex]OAmalOHopeO
Help ASPPP!!!
Name a point that is represented on this graph. Use an ordered pair to give your answer. (Hint:
Look at the shaded region)
Answer:
(-5, -9)
Step-by-step explanation:
From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y = -9. Therefore the required coordinate could be (-5, -9)
please help me its timed -H.M
Answer:
f(3) = g(3)
General Formulas and Concepts:
Algebra I
Functions
Function NotationGraphingStep-by-step explanation:
We can see from the graph that the lines intersect at (3, 6). If this is the case, then that means that when x = 3 for both functions, it outputs f(x) = 6.
Rewriting this in terms of function notation:
f(3) = 6, g(3) = 6
∴ f(3) = g(3)
The mortgage on your new house is $180,000. Your monthly mortgage payment is $839 for 30 years. How much interest will be paid if the house is kept for the full 30 years?
9514 1404 393
Answer:
$122,040
Step-by-step explanation:
The interest is the difference between the mortgage value and the total amount paid.
($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040
$122,040 will be paid in interest.
Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?
a) 0.20
b) 0.50
c) 0.62
d) 0.13
e) 0.63
f) None of the above
Answer: 0.50, which is choice b
Explanation:
The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.
This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).
So we get the final result of 4/8 = 0.50
In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.
Which is the graph of the following inequality
Answer:
graph a is the correct answer
Step-by-step explanation:
The width of a rectangle measures (7k-2m)(7k−2m) centimeters, and its length measures (5k-m)(5k−m) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
[tex]P = 24k-6m[/tex]
Step-by-step explanation:
The correct expressions are:
[tex]W = 7k - 2m[/tex]
[tex]L = 5k - m[/tex]
Required
The perimeter (P)
This is calculated as:
[tex]P = 2 *(L + W)[/tex]
So, we have:
[tex]P = 2 *(5k - m + 7k -2m)[/tex]
Collect like terms
[tex]P = 2 *(5k + 7k- m -2m)[/tex]
[tex]P = 2 *(12k-3m)[/tex]
Open bracket
[tex]P = 24k-6m[/tex]
The height of Mt.Whitney is approximately 14,490 feet. What is a rounded form of this number written in scientific notation?
Find the exact value of the logarithm without using a calculator.
Answer:
1/11
Step-by-step explanation:
We are asked to find the natural log of
[tex] \sqrt[11]{e} [/tex]
Convert to fractional exponent
[tex] ln(e {}^{ \frac{1}{11} } ) [/tex]
Apply Log of Power rule
[tex] \frac{1}{11} ln(e) [/tex]
Natural log of e is 1 so
[tex] \frac{1}{11} \times 1 = \frac{1}{11} [/tex]
Answer:
[tex]\frac{1}{11}[/tex]
Step-by-step explanation:
First, remember that the ln function is just a log function with a base of e. Here's how it looks
[tex]ln(x) =log_{e}(x)[/tex]
[tex]ln(\sqrt[11]{e} ) = log_{e}(\sqrt[11]{e} )[/tex]
We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!
[tex]log_{e}(e^{\frac{1}{11} } )[/tex]
Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.
[tex]e^{x} = e^{\frac{1}{11} }[/tex]
Well x has to be 1/11 in that case. And that ends up being our final answer.
[tex]log_{e}(e^{\frac{1}{11} } ) = \frac{1}{11}[/tex]
The sum of two integers is 90 and their difference is 30. Find the larger number
Answer:
60 is the larger number
Step-by-step explanation:
Let the two numbers be a and y
x+y = 90
x-y = 30
Add the two equations together
x+y = 90
x-y = 30
-----------------
2x = 120
Divide by 2
2x/2 =120/2
x = 60
x+y =90
60+y = 90
y = 90-60
y = 30
The numbers are 60 and 30
A sofa regularly sells for $760. The sale price is $676.40. Find the percent decrease of the sale price from the regular price.
Answer: (760 - 676. 40) × 100 ÷ 760 = 11%
Step-by-step explanation:
Answer:
11% decrease
Step-by-step explanation:
Concepts:
Percent change is the change between an old value and its new value represented as a %. If a percent change is a decrease, it means that the new value is less than the old value. If a percent change is a increase, it means that the old value is less than the new value. The formula for percent change is: (NV - OV)/OV · 100 = C, where NV = New Value, OV = Old Value, and C = Percent Change.The sale price is the price at which something sells or sold after the price has been reduced by sales, discounts, etc.Solving:
Let's find the percent change by using the formula.
1. Formula for Percent Change
(NV - OV)/OV · 100 = C2. Plug in the values of NV and OV
(676.40 - 760)/760 · 100 = C3. Simplify
-83.6/760 · 100 = C-0.11 · 100 = C-11 = CTherefore, our percent decrease is 11% decrease.
What is the least common denominator that will allow you to combine the constant terms? 10 21 35 or 42
Answer:
[tex]LCM = 21[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{5}y + \frac{1}{7}= \frac{1}{3}y -\frac{2}{3}[/tex]
Required
LCM of the constant terms
Collect like terms
[tex]\frac{1}{3}y+\frac{3}{5}y = \frac{1}{7}+\frac{2}{3}[/tex]
The constant terms are on the right-hand side
To combine them, we simply take the LCM of the denominator, i.e. 7 and 3
The prime factorization of 3 and 7 are:
[tex]3 = 3[/tex]
[tex]7 = 7[/tex]
So:
[tex]LCM = 3 * 7[/tex]
[tex]LCM = 21[/tex]
If the length of a leg of a right triangle is 25 and the length of the hypotenuse is 35, what's the length of the other leg, to the nearest tenth?
Answer:
24.5
Step-by-step explanation:
using Pythagorean theorem
[tex]a^{2} +b^{2} =c^{2} \\[/tex]
Since we know the hypotenuse, we can change up the theorem into [tex]c^{2} -b^{2} =a^{2}[/tex]
[tex]35^{2} -25^{2} =a^{2}[/tex]
1225-625=[tex]a^{2}[/tex]
[tex]\sqrt{a^{2} } =24.5[/tex]
Find the missing side. Round your answer to the nearest
Please help me
Answer:
Step-by-step explanation:
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,450. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 570 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last.
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time? (Round z value to 2 decimal places. Round your answer to the nearest whole number.)
Answer:
The manufacturer should advertise 11720 pages.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 12450, standard deviation of 570:
This means that [tex]\mu = 12450, \sigma = 570[/tex]
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time?
They should advertise the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 12450}{570}[/tex]
[tex]X - 12450 = -1.28*570[/tex]
[tex]X = 11720[/tex]
The manufacturer should advertise 11720 pages.
Mr. Plaggenier divided Camp Greenfield into 5 squads for an athletic scrimmages. Each squad competes against each of the other 4 squads 2 times. The scrimmage lasts 2 hours. If only one pair of teams competes at a time and all of the competitions take the same amount of time, how long is each competitions?
A)6 min.
B) 8 min.
C) 10 min.
D) 12 min.
Answer: (a)
Step-by-step explanation:
Given
There are 5 squads for an athletic scrimmages
If each team played 2 matches
Total no of matches will be
[tex]\Rightarrow \dfrac{5(5-1)}{2}\times 2=20\ \text{matches}[/tex]
So, 20 matches are played in 2 hours
Each match takes
[tex]\Rightarrow \dfrac{120}{20}=6\ \text{minute}[/tex]
Option (a) is correct.
A jar contains 11red marbles, 12 blue marbles and 6 white marbles. Four marbles from the jar are selected. With each marble being replaced after each selection. What is the probability that the first red marble chosen is on the 5th selection?
Answer:
Red on the 5th draw = 0.0907
Step-by-step explanation:
The first to fourth selections are all the same.
Blue + white = 12 + 6 = 18
The total number of marbles is 11 + 12 + 6 = 29
P(~ red) for the first four times = (18/29)^4 = 0,1484
Now on the 5th time, the first red is 11/18
So the Probability is 0.1484 * 11/18 = 0.0907
Help me again? Thanks to whomever does! Please show work!
Answer: See Below
Step-by-step explanation:
Concept:
Here, we need to know the idea of alternative interior angle, alternative exterior angle, and corresponding angles.
Alternative interior angle: a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
Alternative exterior angle: a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
Corresponding angle: A pair of angles that occupy the same relative position at each intersection where a straight line crosses two others.
All three kinds of angles above occur to be congruent (equal) when the lines are parallel to each other.
If you are still confused, please refer to the attachment below for a graphical explanation
Solve:
PART ONE
a) Name two pairs of alternative exterior angles: ∠1 and ∠7 / ∠2 and ∠8
b) Name two pairs of corresponding angles: ∠1 and ∠5 / ∠2 and ∠6
c) Name two pairs of alternative interior angles: ∠4 and ∠6 / ∠3 and ∠5
PART TWO
a) If the measure of angle 7 is 52°, what is the measure of angle 1?
As we can see from above, ∠1 and ∠7 are alternative exterior angles. They are part of parallel lines, thus according to the properties, they are equal.m∠1 = m∠7 = 52°b) If the measure of angle 8 is 112°, then what is the measure of angle 3?
As we can see from the figure given, ∠8 and ∠7 are linear pairs or supplementary angles, which adds up to 180°.m∠7 = 180 - m∠8 = 180 - 112 = 68°As we can see from the figure given, ∠7 and ∠3 are corresponding angles.They are part of parallel lines, thus according to the properties, they are equal.m∠3 = m∠7 = 68°Hope this helps!! :)
Please let me know if you have any questions
Find the number that comes after 144five
Answer:
The number that comes after 144five is:
= 200five.
Step-by-step explanation:
Adding 1 to 144 base 5 will result in:
144
+ 1
= 200
b) To obtain the next number that comes after 144five, add 1five to 144five. Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward. When 1 is added to the next 4, the result will be 0 with 1 carried backward. 1 added to 1 = 2, all in base 5. Figures in base 5 cannot exceed 4. The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.
the measures of three angles of a triangle are given by (8x-10), (2x), and (3x-5). What is the measure of the larges tangle
9514 1404 393
Answer:
110°
Step-by-step explanation:
The sum of angles of a triangle is 180°.
(8x -10) +(2x) +(3x -5) = 180
13x -15 = 180
13x = 195
x = 15
The largest angle is ...
8x -10 = 8(15) -10 = 110 . . . . degrees
Let x represent the regular price of any book in the store. Write an expression that can be used to find the sale price of any book in the store.
Answer:
.
e
Step-by-step explanation:
.
find find the equation of straight line find the equation of straight line joining the points 3 4 and 5 7
Noah charges $20 for each lawn that he mows.
Answer:
m = 20 * n
Step-by-step explanation:
The money that he earns is equal the amount earned per lawn times the amount of lawns that he mows
m = 20 * n
Answer:
60 = 3 x 20
Step-by-step explanation:
60 = m
3 = c
20 = n
Find the measure of each side of this triangles. Answer in exact form.
Answer:
[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]
[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]
[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]
[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]
[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]
[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]
[tex]x=4\sqrt{15}[/tex] [tex]y=4\sqrt{15}[/tex]
OAmalOHopeO
