Answer: i believe it’s A
Step-by-step explanation:
By ASA criteria, ΔQMP is congruent to ΔRNP.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a figure as shown in the image.
In ΔQMP and ΔRNP -
∠QPM = ∠NPR {Vertically opposite angles}
QM = NR {Given}
∠MQP = ∠NRP {Alternate interior angles}
So, by ASA criteria, ΔQMP is congruent to ΔRNP.
Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.
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find an equation in standard form of the parabola passing through the points (0, - 1), (1, 5), (- 1, - 5)
Answer:
The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]
Step-by-step explanation:
The standard form equation of the parabola is:
[tex]y=ax^{2}+bx+c[/tex]
Using the three points we can find a, b and c.
Let's put the first point (0,-1)into the standard form equation.
[tex]-1=a(0)^{2}+b(0)+c[/tex]
[tex]c=-1[/tex]
Using the second point (1,5) and the value of c found above.
[tex]5=a(1)^{2}+b(1)+c[/tex]
[tex]5=a+b-1[/tex]
[tex]6=a+b[/tex] (1)
Finally using the las point (-1,-5)
[tex]-5=a(-1)^{2}+b(-1)+c[/tex]
[tex]-5=a-b-1[/tex]
[tex]-4=a-b[/tex] (2)
Solving the system of equations (1) and (2) we can find a and b.
[tex]6=a+b[/tex]
[tex]-4=a-b[/tex]
Adding both of them we have:
[tex]2=2a[/tex]
[tex]a=1[/tex]
And b = 5.
Therefore, the equation of the parabola in standard form will be.
[tex]y=x^{2}+5x-1[/tex]
I hope it helps you!
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Answer:
3 milkshakes 3 sundaes
Step-by-step explanation:
First write the equation.
y = total cost
x = cost of sundae
z = cost of milkshake
21=2x+5z
x+z=6 or x = 6-z
substitute in x = 6-z into the first equation
21 = 2(6-z) + 5z
21 = 12 - 2z + 5z
21 = 12 + 3z
subtract 12 from both sides
21 - 12 = 12 - 12 + 3z
9 = 3z
divide both sides by 3
3 = z
so she bought 3 milkshakes.
That means x+z = 6 and z=3 so
x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.
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Answer:
she bought 3 sundaes and 3 milkshakes
Step-by-step explanation:
let's call the amount of milkshakes M.
let's call the amount of sundaes S.
you know that in total, there are 6 children.
so, you can make the following equation:
M + S = 6
if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m
if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S
you also know that Mrs. Browning spent 21$ in total.
so, you can make the following equation:
5m + 2S = 21
this is a system of equations.
using the first equation, you know that M = 6 - S
you can substitute M for 6 - S in the second equation
5m + 2s = 21
5(6 - s) + 2s = 21
30 - 5s + 2s = 21
30 - 3s = 21
30 = 21 + 3s
30 - 21 = 3s
9 = 3s
3 = snow that you know how many sundaes there are, you can substitute that into the first equation:
m + s = 6
m + 3 = 6
m = 6 - 3
m = 3I need some help please
Answer:
The awnser is A or -7/5
Step-by-step explanation:
you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.
Hope this helps
Maria receives a certain percentage, %, as a bonus, for each pair of shoes she sells. Last week she sold $10000 of shoes and earned $270 as a bonus. What was her bonus percentage?
2.7%
27%
2.07%
10%
help me please i really need help
Answer:
8
Step-by-step explanation:
Since the sides are congruent, the angles are as well. So if you draw point W along line RT, then the angle W and S are the same, so the length is also the same, which is 8.
please hit the heart button :)
Answer:
6
Step-by-step explanation:
Let n1=50, X1=10, n2=50, and X2=30. Complete parts (a) and (b) below. a. At the 0.10 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≤π2 H1: π1>π2 B. H0: π1≠π2 H1: π1=π2 C. H0: π1≥π2 H1: π1<π2 D. H0: π1=π2 H1: π1≠π2 Your answer is correct. Calculate the test statistic, ZSTAT, based on the difference p1−p2. The test statistic, ZSTAT, is nothing.
Answer:
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
There is a difference between the two Population proportions
Step-by-step explanation:
Step(i):-
Given first sample size (n₁) = 50
Given proportion of the first sample p⁻₁= 0.2
Given second sample size (n₂) = 50
Given proportion of the second sample p₂⁻ = 30/50 = 0.6
Null Hypothesis : H₀: p₁⁻=p₂⁻
Alternative Hypothesis : H₁: p₁⁻≠p₂⁻
Step(ii):-
Z-statistic
[tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]
Where
[tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]
Z-statistic
[tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]
Z = -4.089
Level of significance =0.10
Z₀.₁₀ = 1.645
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
Final answer:-
There is a difference between the two Population proportions
Which are equivalent expressions?
Check all that are true.
A)8xy = 4x + 4y
B)x + 6x = 7x
C)x + 6y = 6xy
D)9x + 6y = 3(3x + 2y)
E)9a + 6b + 3c = 3(3a + 2b + c)
Answer:
DE
Step-by-step explanation:
D)9x + 6y = 3(3x + 2y)
E)9a + 6b + 3c = 3(3a + 2b + c)
there have the same concept
3*3x equals 9x and 3*3a is 9a
Find the ratio :
1/2 hour to 45 minutes
Answer:
The answer is 2 : 3.
Step-by-step explanation:
First, you have to convert the units to minutes :
1 hr = 60 min
1/2 hr = 60 × 1/2 = 30 min
Then, you have to simplify the ratio to simplest form :
30 : 45
= (30÷15) : (45÷15)
= 2 : 3
Answer:
To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:
60/2 = 30
So we know half hour are 30 minutes.
Now, we know the ratio 30:45, but we can simplify it, as a fraction.
To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):
30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3
Correlation and regression are concerned with (a) the relationship between two categorical variables. (b) the relationship between two quantitative variables. (c) the relationship between a quantitative explanatory variable and a categorical response variable. (d) the relationship between a categorical explanatory variable and a quantitative response variable.
Answer:
(b) the relationship between two quantitative variables
Step-by-step explanation:
Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.
Quick I need help plz
Answer:
It's answer is 1/3 .
Hope it helps have a great time :)
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.
[tex]\frac{3}{10}[/tex]Since there's no common factor, there's no cancellation needed. So, the answer is [tex]\frac{3}{10}[/tex].
Let' check.
If you divide 3 by 10, you will get the answer 0.3.
3 ÷ 10 = 0.3 (It's correct)You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.
Example: [tex]\frac{3}{10}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{6}{20}[/tex]
You may also use the fraction [tex]\frac{6}{20}[/tex] for your answer as this is also equivalent to 0.3.
You went to the store and bought a pair of jeans for $22, new sneakers for $54 and some shirts for $12.99 each. You spent a total of $127.96. How many shirts did you buy?
Answer:
4 shirts
Step-by-step explanation:
127.96 - 76 (54+22)
51.96 / 12.99 = 4
TRIGONOMETERY REVIEW PLEASE HELP DUE TOMMOROW
I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one
The equation y = 12x represents a proportional relationship. What is the
constant of proportionality? will give brainliest
Answer:
D
Step-by-step explanation:
Proportional relationships come in the form
[tex]y=kx[/tex]
and [tex]k[/tex] is the constant of proportionality. By comparing the general case [tex]y=kx[/tex] and your specific case [tex]y=12x[/tex], you can see that in your case [tex]k=12[/tex].
In the equation y = 12x the constant of proportionality is D. 12.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Let y = kx.
∴ k = y/x.
Given, y = 12x.
12 = y/x.
So, the constant of proportionality is 12.
learn more about proportion here :
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Which product is positive?
Answer:
The 3rd one
Step-by-step explanation:
Can have brainliest
Answer:
The 3rd one
Step-by-step explanation:
hope it helps
also can i have brainlist
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer:
30
Step-by-step explanation:
Let's compare two ant colonies: Ant Colony A and
Ant Colony B. We will use a function, a table, and a
graph to compare these two ant colonies.
Ant Colony A: The function a(x) = 210(1.12) represents
the number of ants in Ant Colony A, x days after an
experiment starts. There is also a table provided for Ant
Colony A on the whiteboard.
Ant Colony B: There is a graph on the whiteboard that
represents the number of ants in Ant Colony B during
the same time period.
Answer:
1. There will be 20 more ants in Colony A than in Colony B
2. 2.35.2^x
Sorry but that's all I can give you.
Step-by-step explanation:
Answer:
3 is 30 i think
Step-by-step explanation: i am in that class i just used calc on first two numbers like the teacher told us to do U^U
hope i helped btw this is tiffany
i need help 17 + p > 18
Answer:
P>1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
P+17>18
Step 2: Subtract 17 from both sides.
P+17-17>18-17
P>1
A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?
Answer:
Step-by-step explanation:
400 ÷ 16 = 25.
16 ÷ 16 = 1.
1 gallon = 25 miles.
275 ÷ 25 = 11
In conclusion, the car used 11 gallons for 275 miles.
Hope this helps!
Rewrite 8.24 × 10^6 in standard notation.
824,000
8,240,000,000
82,400,000
8,240,000
Answer:
The last choice 8,240,000.
Step-by-step explanation:
The exponent 6 tells us there are 6 digits after the first digit (8).
Answer is 8,240,000
a store sells tiles for $3.80 per square feet and an additional fee is $200 to install it what is the independent and dependent variable?
Answer:
i tkinhk it 1.30
Step-by-step explanation:
2. A company manufactures baseball bats. The fixed expenses are $58,780 and the variable expenses are $28 per baseball bat produced. How many bats did they produce if their expenses total $406,960?
Answer:
12,435 bats
Step-by-step explanation:
We need to figure out how many bats were produced.
First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780
y=28x + 58780
We are given y, total expenses at 406,960
so 406,960 = 28x + 58780
subtract 58780 from both sides
406,960 - 58,780 = 28x
348,180 = 28x
divide both sides by 28
12,435 = x
This means they produced 12,435 bats.
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The triple of the sum of two consecutive numbers is 99. Which is the greater of the two numbers.
Answer:
I have no idea Im so sorry i tried to understand all i could think of is x+y=99
i will give brainliest<3
Answer:
4100
Step-by-step explanation:
If only the mens are 10%, The total is 100.
so we multiply 410 with 10 which gives 4100.
jimmy wants to buy socks that cost $20 how much change does he receive if he gives the cashier $100?
Solve the following systems of equations algebraically. Write your answer in the form of (x, y).
y = 3x + 5 and y = x + 19
find the measure of the line segment TV
9514 1404 393
Answer:
18
Step-by-step explanation:
When chords cross, the product of the lengths of the pieces is the same for each chord:
EU·ES = ET·EV
8·9 = (12x)(6x)
72 = 72x^2
x^2 = 1 ⇒ x = 1
Then the length of interest is ...
TV = ET +EV = 12·1 +6·1
TV = 18
10 of 14
A car travels 48 km in 33 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
why in kilometers? 87.3 km/h
15r-15s=
can you help
Answer:
i dlnt know 15 I think not sure
Answer: 0 i guess i dont know
Step-by-step explanation:
-14 + 9x in standard form
Answer:
9x-14
Step-by-step explanation:
the format of the slope intercept formula mx+b
line
Passing through (4,5) and perpendicular to
Equation y= -2x+3
Answer:
1/2x+3
Step-by-step explanation:
I graphed it