Answer:
1050
Step-by-step explanation:
40 percent of $1500 is $600
$1500-$600=$900
$900+$150=$1050
The proof that TriangleMNG ≅ TriangleKJG is shown. Given: AngleN and AngleJ are right angles; NG ≅ JG Prove: TriangleMNG ≅ TriangleKJG Triangles M N G and J K G share point G. Angles M N G and G J K are right angles. Sides N G and G J are congruent. What is the missing reason in the proof? A 2-column table has 5 rows. Column 1 is labeled Statement with entries line segment N G is-congruent-to line segment J G, angle N and angle J are right angles, angle M G N is-congruent-to angle K G J, angle N is-congruent-to angle J, triangle M N G is-congruent-to triangle K J G. Column 2 is labeled reason with entries given, given, vertical angles are congruent, right angles are congruent, and question mark. the reflexive property ASA AAS the third angle theorem
Answer
ASA.
Step-by-step explanation:
just got it right on edu2020.
The missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.
Recall:
If two triangles have two pairs of congruent angles and a pair of congruent included sides lying in between the pairs of congruent angles, both triangles can be proved to be congruent to each other by the ASA Congruence Theorem.In the proof given as shown in the image attached below, having established the fact that both triangles have two pairs of congruent angles, ∠MGN ≅ ∠KGJ and ∠N ≅ ∠J, and the image also shows a pair of included sides that are congruent, GN ≅ GJ, therefore:
the missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.Learn more about the ASA Congruence Theorem on:
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A chip used in the production of particleboard (Question 4) has a 15% chance of containing excessive bark. What is the probability of having more than 860 bark-free chips in a batch of 1,000
Answer:
0.2
Step-by-step explanation:
Given that:
P(particleboard with excessive bark) = 0.15
The P(that particleboard do not have excessive bark) = 1 - 0.15
i.e the population proportion number of success p = 0.85
The sample size (n) is given to be = 1000
To find the P(X ≥ 860)
Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.
The population mean [tex]\mu = n \times p[/tex]
[tex]\mu = 1000 \times 0.85[/tex]
[tex]\mu =850[/tex]
The population standard deviation [tex]\sigma = \sqrt{n*p(1-p)[/tex]
[tex]\sigma = \sqrt{1000*0.85*(1-0.85)}[/tex]
[tex]\sigma = \sqrt{1000*0.85*(0.15)}[/tex]
[tex]\sigma = \sqrt{127.5}[/tex]
[tex]\sigma = 11.2916[/tex]
Let X be the random variable which obeys a normal distribution;
Then;
[tex]P(X \ge 860) = P(Z\ge \dfrac{x- \mu}{\sigma})[/tex]
[tex]P(X \ge 860) = P(Z\ge \dfrac{860- 850}{11.2916})[/tex]
[tex]P(X \ge 860) = P(Z\ge \dfrac{10}{11.2916})[/tex]
P(X ≥ 860) = P(Z ≥ 0.8856)
P(X ≥ 860) = 1 - P(Z ≤ 0.8856)
From z table
P(X ≥ 860) = 1 - 0.8122
P(X ≥ 860) = 0.1878
P(X ≥ 860) [tex]\simeq[/tex] 0.2
Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2
Say hey certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at and average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018?
a. 70%
b. -27%
c. -17%
d. -75%
15% of what number is 12
Answer:80
Step-by-step explanation:
15% of 80 is 12
80/10=8=10%
8/2=4=5%
8+4=12=15% of 80
PLEASE HELP ASAP!!
A study estimated that the number of water bottles recycled by a household and the number of household members are correlated with r = 0.79.
According to this correlation coefficient, how is the number of recycled water bottles expected to change as the number of household members increases?
It will increase.
It will decrease.
It will stay the same.
Answer:
increase
Step-by-step explanation:
because if there is more members well need more water
Each equation below represents a transformation(s) on the linear parent function. Look at each equation and identify which transformation(s) occurred to the parent function (there may be more than one). Use the abbreviations shown at the bottom.
EX: 1. g(x) = 4(x - 3) VS, HSR
2. g(x) = -2/5(x - 3)
3. g(x) = 3/4(x - 5) + 4
4. g(x) = 1/3(x + 3) - 2
5. g(x) = 5/2(x - 2) + 3
6. g(x) = 3/8x - 3
7. g(x) = 7(x + 2)
8. g(x) = (3/10x) + 3
9. g(x) = -4 (x - 2)
10. g(x) = 5x + 2
Horizontal shift left: HSL
Horizontal shift right: HSR
Horizontal flip: HF
Horizontal stretch: HS
Horizontal compression: HC
Vertical shift up: VSU
Vertical shift down: VSD
Vertical flip: VF
Vertical stretch: VS
Vertical compression: VC
Answer:
You should try googling it one by one and study it. I can't asnwer it becuase im a little confused but I can help you get on the right track.
Gabriel buys 4 tires for $300.00. What is the price of 3 tires?
Answer:
$225
Step-by-step explanation:
300/4=75
75*3=225
Here is a system of equations.
{y=x+3
y = 2x + 6
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.
Answer:
It should be "one solution"
Step-by-step explanation:
After graphing the equations, the two lines only intersect at one point which makes it "one solution." Hope this helps.
Suppose that f(x) varies directly with x and f(x)=160 when x = 5.
What is f(x) when x = 0.5?
A: 16
B: 160
C: 32
D: 180
The required value of f(x) when x = 0.5 is 16.
Given,
f(x) varies directly with x .
f(x)=160 when x = 5.
We have to find f(x) when x = 0.5
According to the question ;
A function f(x) that varies directly with x. Direct variation is a case of variation expresses as the following form:
f(x) = kx
The value k is a nonzero constant greater than zero and is called the constant of variation.
This indicates that f(x) increases as x increases.
So,
f( x ) = kx
[tex]k = \frac{f (x) }{x}\\\\ k = \frac{f(5)}{5}[/tex]
[tex]k = \frac{160}{5}[/tex]
k = 32
When x = 0.5,
Then , f(x) = 32x
f(x) = 32(0.5)
f(x) = 16
The required value of f(x) when x = 0.5 is 16.
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PLease help me urgent
Answer:
3
Step-by-step explanation:
rise/run = 6/2 =3
the water rised by 3 gallons each minute
WHAT ARE THE FACTORS OF 57
The bedroom of our house is 1,200 cubic meters. We know that there are 3.4×10^9
particles of dust per cubic meter. Write how many particles of dust are present in the bedroom of our house.
Can someone help me please
mk mk mk kmk mkmk mkStep-by-step explanation:
if a+3b=10, what is the value of 2a+6b=?
Answer:
20
Step-by-step explanation:
2(a+3b)=2(10)
The value of 2a + 6b is 20.
To find the value of 2a + 6b, we can use the given equation:
a + 3b = 10
Now, we want to find 2a + 6b, which is simply twice the value of "a + 3b."
2a + 6b = 2(a + 3b)
Now, substitute the value of "a + 3b" from the given equation:
2(a + 3b) = 2(10)
2a + 6b = 20
So, the value of 2a + 6b is 20.
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need and answer with steps
1. 6 + 3i
2. 10 +6i
3. 9-23i
At the bakery, a fresh cookie costs $0.95, but a day-old cookie only costs $0.61. How much
more is a fresh cookie?
Answer:
0.34
Step-by-step explanation:
Just subtract them
Choose and answer and tell me why you chose that !!
Answer:
A
Step-by-step explanation
I chose this answer because Y and B have the same angle degree and because Y and B are the same angle on both triangles. To me it seems as though ABC and XYZ are the same triangles.
9 and 9 hundredths written in decimal form
Answer:
9.09
Step-by-step explanation:
9.09
Hope this helped, ❤️❤️❤️
Determine whether the system has no one, or infinitely many solutions.
3x + 2y = 12
3x + 2y = 6
Oliver downloaded 15 apps for her phone that altogether, used 2,806 MB of space. If each app used the same amount of space, about how many MB of memory did each app use? Show how you estimated
Step-by-step explanation:
I guess the answer is 187MB
Help pls i have one chance left
Answer:
2^8x-3
Step-by-step explanation:
Whats the value of the dimes?
if you are writing equivalent expression for 2^3 · 2^4, how many times would you write 2 as a factor?
Answer:
7 times
Step-by-step explanation:
In order to find the answer to this question you have to remember that when dealing with exponents you need to multiply the number to itself as many times as the exponent. In this case we have 2^3 we then need to multiply two by itself three times because three is it's exponent.
[tex]2^3 \times2^4[/tex]
[tex]2^3=2\times2\times2[/tex]
[tex]2^4=2\times2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2\times2\times2=[/tex]
[tex]3+4=7[/tex]
[tex]=7[/tex]
Hope this helps.
Estimate 5171 / 17 by first rounding each number so that it has only 1 nonzero digit.
Answer:
250
Step-by-step explanation:
5171/17
Estimate: 5000/20 = 500/2 = 250
Answer:
250
Step-by-step explanation:
round first to 5000/20 = 250
please give a brainiest
You buy 6 items for $25,60. About how much did you spend?
Since the question is asking ABOUT, you would have to round 25.60. Since the tenth's place is greater than 5, 25.60 rounds up to 26. Then you would multiply 26 with 6. You will get your answer of 156.
I need this quick! Also ty!
Answer:
4
Step-by-step explanation:
Answer:
its 4 :/
Step-by-step explanation:
Someone help me with this
Answer:
y=7.5x, y=9.25x, y=6x
Step-by-step explanation:
on the first table we have for 2 tikets $ 15 so the price for one ticket (also known as unit price) is 15/2= $ 7.5
the equation for the price of ticket must be
y= 7.5 x (where y is price you pay for x number of tikets)
on the second table you can pick that you have $37 for 4 tikets so unit price is 37/4= $9.25 per one ticket
y=9.25x
last table $12 for 2 tikets so for one ticket is 12/2=$6
y=6x
Divide. Write your answer as a fraction or mixed number in simplest form.
-3/7 divided -27/14
Answer:
2/9
Step-by-step explanation:
True or false: only fractions with a denominator greater then the numerator can be converted to a decimal
Answer:
FALSE
Explanation:
any fraction can be converted to a decimal
Answer:
false
Step-by-step explanation:
Please help!!!!!!!!! (Solve The quadratic equation by completing the square) 2x^2+12x=66 fill in the value of a and b to complete the solution
Answer: in order
x=-3-[tex]\sqrt{42}[/tex]
x=-3+[tex]\sqrt{42}[/tex]
Step-by-step explanation:
100 % edmentum
The solutions of the equation are x=-3+√42 and x=-3-√42.
The given quadratic equation is 2x²+12x=66.
What is completing square method?Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial.
Now, 2x²+12x=66 can be written as x²+6x-33=0
Add and subtract (b/2)² to the equation.
That is x²+6x-33+9-9=0
⇒x²+6x+9=42
⇒(x+3)²=42
⇒(x+3)=±√42⇒x=±√42-3
Therefore, x=-3+√42 and x=-3-√42.
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