Step-by-step explanation:
AB = sqrt((4-0)^2 + (6-(-1))^2) = sqrt(16+49)=sqrt(65)
CD=sqrt((-8-(-4))^2 + (0-7)^2) = sqrt(49+16)=sqrt(65)
Therefore, sides AB and CD are congruent because they have the same measure.
BC = sqrt((4-(-4)^2 + (-1-0)^2) = sqrt(64+1)=sqrt(65)
AD=sqrt((0-(-8))^2 + (7-6)^2) = sqrt(64+1)=sqrt(65)
Therefore, sides BC and AD were congruent because they have the same measure.
This means ABCD is a parallelogram because there are two pairs of opposite congruent sides.
Now, notice that AB=BC, meaning sides AB and BC are congruent.
This means that parallelogram ABCD has one pair of consecutive congruent sides, and is thus a rhombus.
The sum of the measures of angle A and angle B is 90°
• The measure of angle A is (4x + 30)
The measure of angle B is (40)
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Given:
The sum of the measures of angle A and angle B is 90° The measure of angle A is (4x + 30)The measure of angle B is (40)To Find:
What is the value of x?
Note:
Two angles that add up to give you 90° is a complementary angle.
Thus, Since angle A and angle B sum up to give 90°, they are complementary angles.
Solve:
The following equation can be created to solve for the value of x:
m ∠A + m∠ B
Substitute
40 + 4x + 30 = 90
Add like terms
4x +70 = 90
Subtract 70 from both sides
4x = 90-70
4x = 20
Divide both sides by 4
x = 5
Therefore, the value of x is 5
~Learn with Lenvy~
Find the volume of a right circular cone that has a height of 15 ft and a base with a radius of 7. 9 ft
Answer:
883.57
Step-by-step explanation:
closet answer I can find
help.. Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?
Answer: 564 patrons. also omg chiaki pfp so based
Nick is single. His gross income is $42,000. His deductions are $4,250. Nick's income tax is $_____.
Answer:
tax is 37,750 $
Step-by-step explanation:
Hope It Helps
his figure is the pre-image of a prism that has undergone a dilation with a scale factor of 6/5.
What is the surface area of the image after the dilation?
2533 1/3 mm²
3916 4/5 mm²
4377 3/5 mm²
5253 3/25 mm²
Answer:
2533 1/3
Step-by-step explanation:
becuase if you take the denominator you get it[tex]\sqrt{x} x_{123} \\ x^{2} x^{2} \alpha \beta \lim_{n \to \infty} a_n \leq \alpha \\[/tex]
Answer:
D: 5253 3/25 mm²
Megan added two numbers and the resulting sum was the new rational number. If the first number was 2/3, which of the following could be the second number? Select two that apply
Answer:
I have no idea and I'm not that smart
whats 506 divided by 6
Answer:
84.33333333
or rounded...
84.3
or 84 if asked to be rounded to whole
If you want to sell your cupcakes for $2 per dozen, you can make a profit of $160. If raise the cupcake price by
$1, you can make a profit of $216. If you raise the cupcake price by $2 (which makes them S4 per dozen) you can
make $256 profit. What is the maximum profit you can make? What should you charge for your cupcakes?
The maximum profit is $288, and you should charge $6 per dozen.
How to get the relation between demand and prize?
Let's assume that demand depends linearly on price, such that we can write:
q = a*p + b
where q is the demand and p is the price.
We have 3 points of that line:
When you sell at $2 per dozen, you win $160, so you sold 80 dozens.When you sell at $3 per dozen, you win $216, so you sold 72 dozens.When you sell at $4 per dozen, you win $256, so you sold 64 dozens.The slope of the line is given by:
[tex]a = \frac{q_2 - q_1}{p_2 - p_1}[/tex]
Where these are values of demand and prize for two different points, if we use the first two points we get:
[tex]a = \frac{72 - 80}{3 - 2} = -8[/tex]
Then the line is something like:
q = -8*p + b
Remember that when p = 2, the demand is equal to 80, replacing that we get:
80 = -8*2 + b
80 + 16 = b = 96.
So the line is:
q = -8*p + b
How to maximize the profit?Profit is given by the product between the demand and the price, so we have.
Profit = p*q = p*(-8*p + 96) = -8p^2 + 96p
We want to maximize that, notice that is a quadratic equation of negative leading coefficient, so the maximum is at the vertex, using the equation for the vertex of a quadratic equation we will see that the maximum is at:
p = -96/(2*-8) = 6
Then the maximum profit is:
profit = -8*(6)^2 + 96*6 = 288
The maximum profit is $288, and you should charge $6 per dozen.
If you want to learn more about linear relations, you can read:
https://brainly.com/question/1884491
one fifth of the sum of 10 and a number q
Answer:
(10 + q) ÷ 5
Explanation:
the sum of 10 and a number q is 10 + q
one fifth is dividing by 5
so (10+q) ÷ 5
Claudia can text 3 times as fast as Fiona. Claudia can text 78 words per minute. How many words per minute can Fiona text?
Answer:
Fiona can type 26 words per minute.
Step-by-step explanation:
Just divide 78÷3 (78 words divided by the x3), which gives you 26.
Hope it helps!
The ratio of plain bagels to garlic bagels is 2:3. The ratio of poppy seed bagels to plain bagels is 5:2. What is the ratio of garlic bagels to poppy seed bagels?
At band practice there were 8 rows of
students, with 3 students in each row. There
were also more students in the back of the
room. There was a total of 29 students in
the band. How many students were in the
back of the room?
Answer:
There were 5 students in the back of the room.
Step-by-step explanation:
8x3=24
Which means that there were 24 students on the stage
Then...
29-24=5
Which means that there were 5 students in the back of the room.
Thanks!
Slope- intercept form: y= -4/3x + 2
what is the standard form?
Answer:
4x+3y=6
Step-by-step explanation:
hope this helps
can someone help me with these
Answer:
a=(x+7)(x+-2)
Step-by-step explanation:
(x+a)(x+b)=x²+(a+b)x+(ab)
Answer:
a) (x +7)(x -2)
b) x = -7 or +2
Step-by-step explanation:
a)A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:
-14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)
Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...
x² +5x -14 = (x +7)(x -2)
__
b)The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.
x +7 = 0 ⇒ x = -7
x -2 = 0 ⇒ x = 2
The solutions are x = -7 or x = 2.
The grades on a math exam are normally distributed with μ = 45 and σ = 5. Celestine obtained 55 on the exam. Find the z-score that corresponds to Celestine’s score.
Answer:
2
Step-by-step explanation:
Use z score formula.
55 is x
plug in u and sd.
Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of january. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will abby’s january finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25
Abby's January finance charge is $7.22, the correct option is C.
What is the adjusted balance method?Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after posted credits and payments.
The total amount on which interest will be applied using the adjusted balance method is;
[tex]=722.10 + 18.12-65.00 +18.00 + 44.79+ 34.25 - 40.00\\\\= 732.26[/tex]
Abby’s January finance charge will be;
[tex]= 732.26 \times 11.83 \times \dfrac{30}{360}\times \dfrac{1}{100}\\\\= 7.22[/tex]
Hence, Abby's January finance charge is $7.22.
To get more about the adjusted balance method please refer to the link,
brainly.com/question/14351468
Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of January. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will Abby’s January finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25
The answer is C.
If I have 18 employees and I want to give each employee half a cupcake how many cupcakes do I need
What is the domain and limit(s) of f(x)=1/x+3?
question of types of numbers
Sara made a withdrawal of $80. Tom deposited $47.50.
Which transaction involved more money?
Answer: Sara's transaction involved more money.
Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 4). What is the vertex of the function defined as g(x)=f(x-2)-2
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]
What is the distance between the points (6,8) and (-4,2)
Answer:
2√34
Step-by-step explanation:
→ Find the difference between the x coordinates
-4 - 6 = -10
→ Find the difference between the y coordinates
2 - 8 = -6
→ Use Pythagoras
√ -10² + 6²= 2√34
Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all of the muffins?
A.18/48
B.9/8
C.18/8
D.48/3
Answer:
C
Step-by-step explanation:
Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.
Please This answer this on a correct answer please I need it now
Answer:
wait i will comment
can you wait
What is the direction of b?
A. north B. south C. east D. west
Answer:
A. North
Step-by-step explanation:
expand (5/8x+y^5)(y^5-5/8 x)
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST
Answer:
[tex]y^{10}-\dfrac{25}{64}x^2[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac58x+y^5)(y^5-\frac58 x)[/tex]
Change the order of the terms in the first parentheses:
[tex]\implies (y^5+\frac58x)(y^5-\frac58 x)[/tex]
Apply the Difference of Two Squares: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\implies (y^5)^2-(\frac58x)^2[/tex]
Apply exponent rule [tex](a^b)^c=a^{b\cdot c}[/tex]
[tex]\implies y^{10}-(\frac58x)^2[/tex]
Apply exponent rule [tex]\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]
[tex]\implies y^{10}-\left(\dfrac{5^2}{8^2}x^2\right)[/tex]
[tex]\implies y^{10}-\dfrac{25}{64}x^2[/tex]
If I have 10,000 dollars
And spend some
And only have 491.2 left
How muchs dids I spents
Answer:
9,508.8 dollars spent
Step-by-step explanation:
subtraction.
Answer:
$9,508.8
Step-by-step explanation:
10,000-491.2=ans
a garden patio is covered with grey and yellow slabs
Answer:
ok........
Step-by-step explanation:
Find the missing side (X) round to the nearest hundredth
Answer:
[tex]\displaystyle 18,28 ≈ x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{11} = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]
OR
[tex]\displaystyle \frac{11}{x} = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow \frac{11}{sin\:37} = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
A biologist studied the frequency of croaks for frogs from two different regions. From a random sample of 32 frogs located in the northern region, the mean number of croaks per hour was 21.3, and from a random sample of 38 frogs located in the southern region, the mean number of croaks per hour was 28.9. To estimate the difference in the mean number of croaks (southern minus northern), a 95 percent confidence interval was constructed from the samples. The interval was reported as (7.1,8.1).
The claim supported by the confidence interval is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
What is the confidence interval?The 95% confidence interval for the difference(southern - northern) is given by:
(7.1, 8.1)
Since the entire confidence interval is above 0, the claim supported by it is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
More can be learned about confidence intervals at https://brainly.com/question/25890103