Answer:
B. [tex] \huge \red {\boxed { 64\degree}} [/tex]
Step-by-step explanation:
QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.[tex] \therefore m\angle S = m\angle R[/tex]
[tex] \because m\angle R= 116\degree [/tex]
[tex] \therefore m\angle S= 116\degree [/tex]
[tex] m\angle S + m\angle T = 180\degree [/tex]
(angles on the same side of transversal)
[tex] 116\degree + m\angle T = 180\degree [/tex]
[tex] m\angle T = 180\degree - 116\degree [/tex]
[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]
Violet will make a total of 58 semiannual loan payments of $1220 dollars each. If her bank charges an annual interest rate of 3.4% compounded semiannually, how much will the loan balance be 3 years from the end the loan?
9514 1404 393
Answer:
$6903.47
Step-by-step explanation:
The principal due when there are 6 payments left can be found from the amortization formula.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where principal P is earning annual interest r compounded n times per year for t years. A is the payment in each of the n time periods.
Using the given information, you have ...
$1220 = P(0.034/2)/(1 -(1 +0.034/2)^(-2(3))) = 0.1767226P
Then the principal P due at the time of interest is ...
P = $1220/0.1757226 ≈ $6903.47
The balance 3 years from the end of the loan is $6903.47.
85% of x is 51. Write an equation that represents the situation
Answer:
85%*x =51
Step-by-step explanation:
of means multiply
Hence,
85% times x =51
I need help pls help me
Answer:
Allison
Step-by-step explanation:
Allison:
2^6 = 64
Chris:
3³ = 27
Hannah:
4² = 16
Steve:
18^1 = 18
Answer:
Allison
Step-by-step explanation:
Allison
[tex]2^{6}[/tex] = 2 x 2 x 2 x 2 x 2 x 2 = 64
Chris
[tex]3^{3}[/tex] = 3 x 3 x 3 = 27
Hannah
[tex]4^{2}[/tex] = 4 x 4 = 16
Steve
[tex]18^{1}[/tex] = 18 = 18
can you help me with this
Answer:
x = 18
Step-by-step explanation:
Sum of exterior angles of any polygon = 360
2x + 2x + 3x + 4x + 4x + 5x = 360
20x = 360 {Divide both sides by 20}
x = 360/20
x = 18
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. Thecompany collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
The test yielded a t -value of 3.34 with a corresponding p -value of 0.001. Which of the following is the correct interpretation of the -value?
a. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
b. If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
c. If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001This answer is incorrect.
d. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
e. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001.
Answer:
C
Step-by-step explanation:
The test produced, a t-value of 3.34 and a p-value of 0.001 as a result. The possibility of seeing a test statistic at least as extreme as 3.34 is 0.001; the proper reading of the p-value is different if the alternative hypothesis is true.
Probability calculation:p-value = 0.001
t = 3.34
Whether the alternative theory is true because there is a 0.001, and the possibility of showing testing statistics as extreme as 3.34.The p-value indicates that since the Null-hypothesis is true, there is a 0.001 chance of seeing a test statistic at least as extreme as 3.34.Therefore, the final answer is "Option d".
Find out more information about the p-value here:
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what is angle 1 im marking brailiest
Answer:
86
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
1. The other angle marked with one arc must also be 43 deg.
2. The two angles put together make an angle of 86 deg.
3. In a parallelogram, the angle at lower right and the angle at upper right are supplementary (they add up to 180 deg.). The upper right angle is 180 - 86 = 94 deg.
4. The angle at lower left is the same, 94 deg.
5. The angles marked with two arcs are half of 94 deg. = 47 deg.
6. Now you have two out of three angles in the triangle. All three angles add up to 180 deg. so the measure of angle 1 is 180 - 47 - 43 = 90 degrees.
PLEASE HELP MEEEE OMG SOMEONE HELP ASAP AND ACTUALLY EXPLAIN THEIR ANSWER PLS PLS PLS IM DESPERATE
solve the exponential growth equation:
y=23,000(1+0.5)^35
Answer:
In the pic.
Step-by-step explanation:
Answer:
27386.718479
Step-by-step explanation:
Hope this helped!!!
Urn 1 contains 3 blue tokens and 2 red tokens; urn 2 contains 2 blue tokens and 4 red tokens. All tokens are indistinguishable. You roll a die to determine which urn to choose: if you roll a 1 or 2 you choose urn 1; if you roll a 3, 4, 5, or 6 you choose urn 2. Once the urn is chosen, you draw out two tokens at random from that urn (no replacement). How many possible outcomes are possible
Answer:
RR = 0.4
RB = 0.3
BB = 0.22
BR = 0.30
Step-by-step explanation:
P( Urn 1 ) = 2/6 = 1/3
P( Urn 2 ) = 1 - 1/3 = 2/3
Urn 1 contains : 3 blue and 2 red
P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )
P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )
Urn 2 contains : 2 blue and 4 red
P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )
P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )
Determine
i) Possible outcomes when two tokens are drawn from either Urn without replacement
RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4
RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3
BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22
BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30
In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?
A.
Line r has slope 8 and y-intercept (0, 9).
B.
Line r has slope 8 and y-intercept (0, 5).
C.
Line r has slope 5 and y-intercept (0, 2).
D.
Line r has slope 11 and y-intercept (0, 8).
Answer:
im not that smart but
Step-by-step explanation:
Given that In the coordinate plane line p had slope 8 and y intercept (0,5).
Hence equation of line p is
y = 8x+5 (slope intercept form)
When we dilate p by a factor of 3, we have
we find that slope would remain the same but the y intercept would become 3 times.
Hence new line would be
y = 8x+15
Slope = 8 and y intercept = 15
This line will be parallel to original line.
The line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
p has a slope of 8 and y-intercept (0, 5)
Line r is the result of dilating line p by a factor of 3 with center (0, 3).
Line p is:
y = 8x + 5
The center is not on the line because it does not satisfy the line.
Now dilated line r will have the same slope.
And inetercept = 3+3(5-3)
= 9
Thus, the line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.
Learn more about the linear equation here:
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#SPJ2
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan?
Answer:
Monthly Payment $2,741Monthly Payment $676Step-by-step explanation:
A down payment is the upfront portion of a payment that is often required to finalize the purchase of items that are typically more expensive, such as a home or a car. When purchasing a home, after a down payment is paid by a home-buyer, any remaining balance will be amortized as a mortgage loan that must be fulfilled by the buyer. In other words, the purchase price of a house should equal the total amount of the mortgage loan and the down payment. Often, a down payment for a home is expressed as a percentage of the purchase price. As an example, for a $250,000 home, a down payment of 3.5% is $8,750, while 20% is $50,000.
What value of x makes the equation 3(x−6)−8x=−2+5(2x+1) true?
Answer:
[tex]3(x - 6) - 8x = - 2 + 5(2x + 1) \\ 3x - 18 - 8x + 2 - 10x - 5 = 0 \\ = > - 15x - 21 = 0 = > - 15x = 21 = > x = - \frac{7}{5} [/tex]
What is 140% of 60
Pls help I need help pls pls pls pls pls pls
Answer:
84
Step-by-step explanation:
To calculate how much 140% of 60 does we need to multiply 60 with 140 then divide it by 100
60 x 140 ÷ 100 = 84
A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
18 – 0.25(18)
18 – 0.75(18)
0.25(18)
0.75(18)
18(0.25) + 18
Answer:
a and d
Step-by-step explanation:
brainliest if you want :)
Answer:
A or 18 – 0.25(18)
and
D or 0.75(18)
Step-by-step explanation:
Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)
Pleaseeee helpp which one is it and whyyyy!!!!
Answer:
answer is A
Step-by-step explanation:
1. Graph the function on the coordinate plane.
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer and step-by-step explanation:
On the graph, it shows no kind of function, all it shows is the coordinate plane. That means that it has no x-intercept, no y-intercept, and has no minimum/maximum. Otherwise, there is not enough information to graph it.
Been stuck on this all day!! Helppp
Answer:
Step-by-step explanation:
You have to use the arithmetic sequence
f(n)=f(n-1)+d
You can plug in (40,10) and (50,20)
(10)=f(1)+39d
(20)=f(1)+19d
subtract
-10=20d divide
d=-1/2
plug into one of the equations above
(10)=f(1)+39(-1/2)
10=f(1)-39/2
59/2=f(1)
f(1)=29.5
plug into formula
f(n)=29.5-1/2(n-1)
f(n)= -1/2n +30 final equation (Plug in the table values into "n") to solve
Answer:
if it was like that wouldnt it go from 10 to 20 to 30 to 40 ect.
Step-by-step explanation:
2. How many radians are in a full circle? ?
ON
ㅇ
0 27
ㅇ
Answer:
1 radius in a full circle
Answer: 6.28 radians
Step-by-step explanation: I think pls BRAINLIEST
Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12
Answer:
3
Step-by-step explanation:
Sorry if it's wrong and semogamem helps
Find the value of x in this figure.
50
40
30
60
Answer:
the answer isnt right just trying to see if anyone else knows it
Step-by-step explanation:
What is x in this equation?
Answer:
x = 124
Step-by-step explanation:
x = 124 because of alternate exterior angles
pls help me understand this pls show how u got it
Answer:
25 inches
Step-by-step explanation:
Area is given as 75 in^2
Area of a triangle = 1/2 * base * height
75 = 1/2 (6) * height
75 / (1/2 * 6) = height
25 inches = height
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds
Answer:
After 4 seconds, the object will have fallen 512 feet.
Step-by-step explanation:
Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3
seconds, the distance the object falls in 4 seconds, the following calculation must be performed:
288/3 ^ 2 = X
288/9 = X
32 = X
X / 4 ^ 2 = 32
X / 16 = 32
X = 32 x 16
X = 512
Thus, after 4 seconds, the object will have fallen 512 feet.
What is the area of the circle with the radius of 5? Round to the nearest tenth.
Answer:
Step-by-step explanation:
area of circle=π(5)²=25 π≈25×3.14≈78.5
Answer:
A≈78.54
Step-by-step explanation:
A=πr2=π·52≈78.53982
Also i left this out but the radius of the circle is 5.
Chill im only a 7th grade nerd studying in Real Estate and Finances
Also hopes this helps ;0
Please help me my head hurt
Answer:
my head hurts also
Step-by-step explanation:
match it to its definitions !
•ILL GIVE BRAINLIEST !! & 100 POINTS
Answer:
1) D ; 2) E ; 3) B ; 4) C ; 5) A
Step-by-step explanation:
Answer:
1. Corresponding = D
2. Alt Interior = E
3. Vertical = B
4. Alt Ext = C
5. Straight = A
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
I need help please explain if you know the answer!
Answer:
d.800 +40
Step-by-step explanation:
The distributive property is given by:
a(b+c). = ab + ac
8(100+5)= (8).(100) + (8) .(5)
= 800 +40
Evaluate(8−3i)(3+2i)
Answer:
The answer is 30+7i.
Step-by-step explanation:
Imaginary Number Definition
[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]
Simply evaluate like how you evaluate polynomials. Expand the expression in.
[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]
Therefore, our new expression when cancelling out the brackets is:
[tex]\large\boxed{24+16i-9i-6i^2}[/tex]
Imaginary Number Definition II
[tex]\large\boxed{i^2=-1}[/tex]
Therefore, substitute or change i² to -1
[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]
Complex Number Definition
[tex]\large\boxed{a+bi}[/tex]
Where a = Real Part and bi = Imaginary Part.
Therefore, it's the best to arrange in the form of a+bi.
Hence, the answer is 30+7i.
What is 48/25 simplified
Answer:
exact form - 48/25
decimal form - 1.92
mixed number - 1 23/25
Step-by-step explanation:
Find the measure. m∠GDF
Answer:
∠GDF = 26°
Step-by-step explanation:
6y + 2 = 7y - 2
subtract 6y from each side of the equation:
2 = y - 2
add 2 to each side:
y = 4
6(4) + 2 = 26°