Answer:
nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
Answer:
Yes
Step-by-step explanation:
I will write it in the form of a theorem
Given:
X=C; WX=BC;WY=BD
To prove:
WXY = BCD
Proof:
X=C (This is a angle)
WX=BC
WY=BD
Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.
In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Find the length of s, to the nearest centimeter.
Answer:
3315
Step-by-step explanation:
delta math
In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Then the length of s is 3425.8 cm
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°.
We need to find length of S
From angle sum property the sum of three angles is 180 degrees.
∠S+∠T+∠U=180 degrees
∠S+49°+14°=180°
∠S+63°=180°
∠S=117°
Now use Sine rule
SinU/U=SinS/S
Sin14/900=sin117/S
S=900×Sin 117/sin 14
S=3425.8 cm
Hence, the length of s is 3425.8 cm
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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Answer:
We reject H₀ , we found enough evidence to support the claim
Step-by-step explanation:
Sample size n = 1300
Sample proportion p = 45 % p = 0,45 and q = 0,55
Proportion of population p₀ = 42 % p₀ = 0,42
Hypothesis Test
Null Hypothesis H₀ p = 0,42
Alternative Hypothesis Hₐ P > 0,42
A one-tail test to the right is needed to evaluate the claim
Sample size big enough to consider binomial distribution can approximate to normal distribution
1300*p > 10 1300*q > 10
Significance level α = 0,02
z(c) fom z-table is z(c) = 2,05
To compute
z(s) = ( p - p₀ ) /√ (p*q)/n
z(s) = ( 0,45 - 0,42 ) /√ (0,45*0,55)1300
z(s) = 0,03 / 0,014
z(s) = 2,14
Comparing z(c) and z(s) z(s) > z(c) then z(s) s in the rejection region we must reject H₀ we found enough evidence to spport the claim
0.9 written as a fraction
Answer:
9/10
Step-by-step explanation:
90%
Answer:
The answer for this question is 9/10
in a college biology class, only half of the class earned a passing grade. Out of all the students, 25% studied and passes. What is the probability of someone having studied, give that they passed?
Answer:
17.5%
Step-by-step explanation:
take 25% x 1/2..............
How many ways can the letters of the word snow be arranged horizontally so that the letters n and o are always immediately next to each other
Answer:
6 times
Step-by-step explanation:
nosw
swno
wsno
nows
snow
wnos
Solve 3[-X + (2 x + 1)] = x-1.
Answer:
x=-2
Step-by-step explanation:
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]3[-x+(2x+1)]=x-1[/tex]
[tex]-3x+3(2x+1)]=x-1\\-3x+6x+3=x-1\\3x+3=x-1\\2x+4=x\\2x+4=0\\2x=-4\\x=-2[/tex]
write an equivalent expression 3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?
Answer:7c +6d +12
Step-by-step explanation:3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?
3c + 4c +12d - 6d +7 +5
= 7c +6d +12
You combine like terms which are 3c and 4c which gives you 7c .Next you combine 12d and 6d but this time u need to subtract since it has subtact sign in between 12d and 6d which gives you 6d.After that you combine 7 and 5 which u get 12 .Lastly you put all of the tersm together which are 7c and 6d and 12 which get you 7c +6d +12 as your equivalent expression.
Please give brainliest if it helps :)
When rounding what is 24.2 divided by 42
Answer:
The answer is 0.576190476 Estimated.
Step-by-step explanation:
Answer:
0.58 or 0.6
Step-by-step explanation:
0.576
16. Solve for C: 6c - 1 - 4c = -49
Answer:
c = -24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Step-by-step explanation:
Step 1: Define
6c - 1 - 4c = -49
Step 2: Solve for c
Combine like terms: 2c - 1 = -49Isolate c term: 2c = -48Isolate c: c = -24express 20cm as a percentage of 3m
Answer: [tex]\frac{20}{3} %[/tex]%
Step-by-step explanation:
Convert 3m to cm:
[tex](3m)(\frac{100cm}{1m} )=300cm[/tex]
Now divide 20cm by 300cm:
20cm/300cm=1/15
Multiply (1/15) by 100% to convert the fraction to a decimal:
(1/15)(100%)=[tex]\frac{20}{3} %[/tex]%
The ratio of dogs to cats is 2 to 3. There are 10 pets total. How many dogs are there? How many cats are there?
[tex]x \: \: is \: half \: of \: y[/tex]
Answer:
x is half of y[tex] \huge \boxed{x = \frac{y}{2} }[/tex]
Answer:
2x=y
Step-by-step explanation:
Since x is half of y, 2x=y
Hope this helps :D
A company policy requires that, for every 30 employees, there must be 3 supervisors. If there are 285 supervisors at the company, how many employees does the company have?
Answer:
2850 employees
Step-by-step explanation:
Given that ,
3 supervisors = 30 employees
1 supervisor = 30/3 employees
285 supervisors = 30 / 3 × 285 employees
285 supervisors = 10 × 285 employees
285 supervisors = 2850 employees( Answer)
Help, please. I'm in math class right now and I only have a few mins left of the course.
Answer:
60
Step-by-step explanation:
180-(100+20)=x
x=60
Solve the problem
Find the break-even cost and revenue equations. Round to the nearest whole unit.
C = 15n + 269,000
R = 95n
a. 80
b. 2445
c. 3363
d. 110
Answer:
C. 3363
Step-by-step explanation:
I calculated logically
Answer:
C
Step-by-step explanation:
Which point on the graph represents the y-intercept?
On a coordinate plane, a line goes through points V (negative 4, 4), W (0, 2), Y (2, 1), Z (4, 0).
Answer:
the answer is A
Step-by-step explanation:
I just took the test and A was the correct answer
A2 + B2 = C2:
13 squared plus b2 equals 18 squared. What is the answer? Please show the work.
Answer:
Solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]
Step-by-step explanation:
13 squared plus b2 equals 18 squared. What is the answer?
We can write it as:
[tex](13)^2+(b)^2=(18)^2[/tex]
Now, solving and find value of b
We know that 13² = 169
and 18² = 324
Putting values:
[tex](13)^2+(b)^2=(18)^2\\169+b^2=324[/tex]
Subtract 169 on both sides
[tex]169+b^2-169=324-169\\b^2=155[/tex]
Now, taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{155}\\b=\pm\sqrt{155}\\b=\sqrt{155},b=-\sqrt{155}[/tex]
So, solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]
plz help!!!
Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer:
[tex]k = 8.35[/tex]
Step-by-step explanation:
Given
[tex]Gallons = 4[/tex]
[tex]Weight = 33.4lb[/tex]
Required
Determine the constant of variation (k)
This is calculated by dividing the weight of gallons by the number of gallon.
[tex]k = \frac{Weight}{Gallons}[/tex]
Substitute values for Gallons and Weight
[tex]k = \frac{33.4}{4}[/tex]
[tex]k = 8.35[/tex]
This means that 1 gallon weighs 8.35lb
HELP
Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
(-8, 6)
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is:
y = -4 + 38
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
We have given that,
An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
(-8, 6)
What is the slope-intercept form?
y=mx+b
Where m is the slope
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is y = -4 + 38.
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In the formula for the area of a circle, what gets multiplied by r?
Answer:
A. r²
Step-by-step explanation:
The formula for the area of a circle is π r²,
thus the π is multiplied by the r²
Work out the area of a circle with a radius 7.5cm take pie to be 3.142. Give your answer 2 decimal places
Answer:
176.74 cm^2
Step-by-step explanation:
Area of a circle is πr^2
r= 7.5
π= 3.142
Area=3.142× 7.5^2
= 3.142 × 56.25
= 176.74 cm^2
Hence the area if the circle is 176.74cm^2
SOMEONE PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
5.8
Step-by-step explanation:
c=(square root of 5^2 + 3^2)
In Jamie's closet the ratio of pairs of boots to pairs of sneakers is 3:6. If she has 6 more pairs of sneakers
than boots, how many pairs of boots does she have?
Chuck made $13.90 per hour, gets a 12% raise, and works 40 hours per week. Will he now earn at least $600 per week?
A: No, he will earn $556 each week.
B: No, he will only earn $66.72.
C: No, he will earn $489.28 each week.
D: Yes, he will earn $622.72 each week.
I might be wrong but I'm gonna go with
D is my answer
Tell if it’s linear or not, plz help it has a timer :(
Answer:
Only B is linear
Step-by-step explanation:
Simplify the equation
B^-7/b^4
Step-by-step explanation:
[tex] = \frac{ {b}^{7} }{ {b}^{4} } [/tex]
[tex] = {b}^{(7 - 4)} [/tex]
[tex] = {b}^{3} [/tex]
4) Round 475,391 to the nearest...
1)10,000.
2)100,000.
3) 1,000.
Answer:
1) 480000
2)500000
3)475000
Step-by-step explanation:
To round it to the nearest 1000 you would find the 1000s digit which is 5 and look at the digit to the right and if it is under 5 than the 1000s digit stays the same and everything to the right turns to a zero so than you can apply that concept to the rest of the problems so you get
1) 480000
2)500000
3)475000
Suppose that many large samples are taken from a population and that the
sample proportions are normally distributed, with a mean of 0.22 and a
standard deviation of 0.029.99.7% of the sample proportions will fall within
which of the following intervals?
Answer:
99.7% of the sample proportions will fall between 0.133 and 0.307.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 0.22
Standard deviation = 0.029
99.7% of the sample proportions will fall within which of the following intervals?
Within 3 standard deviations of the mean.
Lower end: 0.22 - 3*0.029 = 0.133
Upper end: 0.22 + 3*0.029 = 0.307
99.7% of the sample proportions will fall between 0.133 and 0.307.
PLS HELP ASAP GIVING BRAINLIEST
Plot 1 2/5, −12, and −2 1/10 on the number line.
Answer:
Here is the answer.
Step-by-step explanation:
Find the Measure of angle O
(see image)
Only real answers, please
Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)
[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]
angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
Hence, angle O is 52°.