Answer:
∠DAB = 133°
Step-by-step explanation:
Given - Quadrilateral ABCD is a parallelogram. ∠D = 3x + 17, ∠B = 5x - 3
To find - What is the measure of ∠DAB?
Proof -
We know that In a parallelogram, opposite angles are equal.
So, ∠A = ∠C and ∠B = ∠D
Now,
As ∠B = ∠D
⇒3x + 17 = 5x - 3
⇒17 + 3 = 5x - 3x
⇒20 = 2x
⇒x = 10
So,
∠B = 5(10) - 3 = 50 - 3 = 47
⇒∠B = 47°
Also, we know that
∠A + ∠B = 180°
⇒∠A = 180° - ∠B
⇒∠A = 180° - 47° = 133°
⇒∠A = 133°
⇒∠DAB = 133°
If 45/60 is equivalent to 3/x, find the value of x
thank you to whoever helps
(3,1) would be the right answer
You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend
Answer:
Hotel is over booked by 140 rooms
Step-by-step explanation:
Total number of hotel rooms = 1465
number reserved by individuals = 296
number reserved by groups = 651
booking rates = 67% for individual , 56% for groups
Determine if you are under booked or overbooked for the weekend
let X represent the number of rooms booked by individuals
and Y represent the number of rooms booked by groups
number of reserved room for individuals
= 67% of X = 296
X = 67% + 33%
= 296 + ( (296 / 67 ) * 33 )
= 296 + 146 ≈ 442
number of rooms reserved for groups
= 56% of Y = 651
Y =( 651 / 56 ) * 100
≈ 1163
Total rooms booked = X + Y
= 442 + 1163 = 1605
To determine if under booked or over booked
Total rooms booked - Total number of hotel rooms
= 1605 - 1465
= 140 ( Your Hotel is over booked )
3) Suppose you deposit $10,000 in a savings account that pays interest at an annual rate of 5%
compounded quarterly. How many years will it take for the balance in your savings account to reach
$12,000?
9514 1404 393
Answer:
3.67 years
Step-by-step explanation:
The amount is found using the compound interest formula.
A = P(1 +r/n)^(nt)
for principal P invested at annual rate r compounded n times per year for t years.
We can solve this for t:
A/P = (1 +r/n)^(nt) . . . . divide by P
log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm
t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t
Filling in the given values, we find ...
t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692
It will take about 3.67 years for the balance to reach $12,000.
Answer:
the answer is 3.67 years
Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing all the needed work.
Answer:
perpendicular
Step-by-step explanation:
Rewrite the equations
y = (-1/7)x - 3/7 -- L1
y = 7x + 25 -- L2
Slope of L1 x Slope of L2 = -1/7 x 7 = -1
As a result, the two lines are perpendicular
training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage increase in distance
Answer:
24.61%
Step-by-step explanation:
The distance covered in first week = 195 miles
The distance covered in the second week = 243 miles
We need to find the percentage increase in distance. It can be calculated as follows :
[tex]\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%[/tex]
So, the increase in distance is equal to 24.61%.
PLZ HELP ASAP 30 POINTS (Plz show work)
Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24
Answer:
x=6 x=-1
a=1.5 a=-2
n=-1.5 n=4
Step-by-step explanation:
(a) (b) (c)
10a2+5a-30
x=-b+-√b2-4ac/2a
a=-5+-√(5)2-4(10)(-30)/2(10)
a=-5+-√25+1200/20
a=-5+-√1225/20
a=-5+√1225/20
a=1.5
a=-5-√1225/20
a=-2
What is the mode of the set of numbers below
25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19
EN Sved. 10:22 AM
The triangle shown can be used
to represent a slope of
10
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10
1
Son
Use the Connect Line tool to
construct a similar triangle that
can also represent a slope of 3
This triangle should not be
congruent to the one shown.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
what's wrong with the table
Answer:
On the one that says "3-24" its supposed to be "3-18". On the one that says "4-32" its supposed to be "4-24".
A method currently used by doctors to screen for possible bre canc fails to detect canc in 15% of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect canc more accurately. A random sample of 70 women known to have br canc were screened using the new method. Of these, the new method failed to detect can in six.
A. Specify the null and alternative hypothesis that the researchers wish to test.
B. Is the sample large enough
Step-by-step explanation:
1.sample size n = 70
X = 6
We calculate the sample proportion
P^ = 6/70
= 0.0857
The population proportion = 15 percent
P = 15/ 100
= 0.15
The question says we should specify the hypothesis
Null hypothesis
H0: p = 0.15
Alternative
H1: P < 0.15
2.
The sample size is 70 and therefore large enough
Manuel and Kristina are reviewing like terms in the problem 3x + 3 - 4x. Manuel said that 3x and 3 are like terms because they both have threes. Kristina said 3x and -4x are like terms because they both have the same variable. Who is correct? Explain.
Answer:
Kristina
Step-by-step explanation:
Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.
Select the correct answer. Find the solution(s) for x in the equation below.
x2-9x+20=0
Step-by-step explanation:
Given
x² - 9x + 20 = 0
x² - ( 4 + 5) x + 20 = 0
x² - 4x - 5x + 20 = 0
x ( x - 4 ) - 5 (x - 4 ) = 0
(x - 4 ) ( x - 5 ) = 0
Either
x - 4 =0
x = 4
or
x - 5 =0
x = 5
x = 4 and 5
Hope it will help :)
[tex].)[/tex]
Answer: hope this helps. Check out the image.. and can u give me brainliest pls and I also have explanation
Step-by-step explanation:
20+ POINTS!!!
ATTACHMENT!!!!!
Answer:
D
Step-by-step explanation:
I say D because if you just multiply each number on there you get 210.
A college student wants to determine if degree of introversion/extroversion is associated satisfaction with life. She has a sample of 68 people take two surveys. The first survey yields a higher score the more extroverted a person is. The second survey yields a higher score the more satisfied a person is with their life. What statistics should you use to determine if scores on these two surveys are related to each other
Answer: Correlation
Step-by-step explanation:
The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.
Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.
In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.
Hey guys I think I know the answer but I cant afford to get it wrong-
Answer: $1.50 per ticket
Step-by-step explanation:
Divide 7.50 by 5 (You can do any of them. Like, 10.50/7 or 13.50/9 but you'll get the same answer.)
Once you divide them, you'll get 1.5.
$1.50 per ticket.
Not that bad
If 20 kilograms equals about 44 pounds, how many pounds is 1 kilogram?
Answer:
2.2
Step-by-step explanation:
What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph
Answer:
Yes it's a positive linear graph
Step-by-step explanation:
Answer:
yes dear it's a positive linear graph.
Which function below is a quadratic shifted left 2 and down 5?
A
f(x) = (x - 5)2 - 2
B.
f(x) = 2(x - 5)2
С
f(x) = (x + 2)2-5
D
f(x) = (x - 2)2 - 5
Answer: C: f(x)=(x+2)2-5
Step-by-step explanation:
Answer: c
Step-by-step explanation:
:)
how to rewrite equation 5x+7y-35=0 in slope intercept form?
PLS HELPPPPPP ME!!! ASAP
Answer:
2.5
Step-by-step explanation:
Let x be the number of hours both people baby sit and y be the number of hours that they each earn.
Sarah:
y = 10 + 2.5x
Carly:
y = 7.5 + 3.5x
You know that the number of hours should be the same (y).
10 + 2.5x = 7.5 + 3.5x
Evaluate and find x.
10 - 7.5 = 3.5x - 2.5x
x = 2.5
find the area of the right triangle.
Answer:
16 units²
Step-by-step explanation:
1/2x4x8=16
Find the square root of -162 and please explain your answer
Answer:
12.7279221 i
Step-by-step explanation:
Round to 13 or 12.7
Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.
- What is he minimum volume of the box
- What is the surface area of the box
- How much empty space is in the box. ( round your answer to 2 decimal places)
If Matrix A is 4 x 4, and Matrix B is 4 x 3, what is the size of matrix AB? If AB is undefined, please state so.
PLEASE HELP ASAP I WILL MARK BRAINLIEST!
Select ALL the expressions that are equivalent
A. 2 +6k
B. 16k + 18
C. 8k-2
D. 6k+2
Answer:
b a d
Step-by-step explanation:
Answer:
B & D
Step-by-step explanation:
pls give crown
Please simplify the following trigonometric identity.
[tex]\displaystyle\frac{1}{\sec\alpha-\tan\alpha}[/tex]
Examining the question:
We are given the expression:
[tex]\frac{1}{Sec(\alpha)-Tan(\alpha)}[/tex]
We know from Basic trigonometry that:
[tex]Sec(\alpha) = \frac{1}{Cos(\alpha)}[/tex]
[tex]Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}[/tex]
Simplifying the expression:
Replacing these values in the given expression, we get:
[tex]\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }[/tex]
Since the denominator of both the values in the denominator is the same:
[tex]\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }[/tex]
We know that [tex]\frac{1}{\frac{a}{b} }[/tex] = [tex]\frac{b}{a}[/tex], using the same property:
[tex]\frac{Cos(\alpha)}{1-Sin(\alpha)}[/tex]
and we are done!
Answer:
cos a
---------------------
1 -sin (a)
Step-by-step explanation:
We know that sec a = 1/ cos (a) and tan a = sin (a) / cos (a)
1
---------------------
1/ cos (a) -sin (a) / cos (a)
Multiply the top and bottom by cos (a)
1* cos a
---------------------
( 1/ cos (a) -sin (a) / cos (a)) * cos a
cos a
---------------------
1 -sin (a)
I am so confused right now. will give brainlest to anyone how can solve this chicken scratch lol
1. Write an equation representing this hanger
2. find the value (or "weight) of one circle (w).
3. Explain how you found the value of one circle (w)
I really have no idea what any of this is
Answer:
1. 25÷4w
2. w=6.25
3.I divided 25 by 4 to find w
Step-by-step explanation:
giving brainliest !!!!!
What is the value of p?
x=1/4y^2
Answer:
The value of p is 1
Step-by-step explanation:
we know that
The standard form of the equation of a horizontal parabola is
(y - k)² = 4p(I - h)
where
(h,k) is the vertex
p[tex]\neq[/tex] 0
if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.
In this problem we have
I = [tex]\frac{1}{4}[/tex]y²
Convert to standard form
y² 4I
The vertex is the point (0,0)
4p = 4
P = 1 -----> p > 0, the parabola opens to the right