a) Two angles are said to be complementary if their sum is equal to 90°
Given : 2x and 4x are complementary angles
⇒ 2x + 4x = 90°
⇒ 6x = 90°
⇒ x = 15°
Answer: The two angles are : 30° and 60°
b) Two angles are said to be supplementary if their sum is equal to 180°
Given : x and 5x are supplementary angles
⇒ x + 5x = 180°
⇒ 6x = 180°
⇒ x = 30°
Answer: The two angles are : 30° and 150°
c) Two angles are said to be complementary if their sum is equal to 90°
Given : x and x + 50° are complementary angles
⇒ x + x + 50° = 90°
⇒ 2x = 40°
⇒ x = 20°
Answer: The two angles are : 20° and 70°
d) If two angles form a linear pair, then the sum of the angles should be equal to 180°
Given : 2x + 10° and 3x + 10° form a linear pair
⇒ 2x + 10° + 3x + 10° = 180°
⇒ 5x = 160°
⇒ x = 32°
⇒ 2x + 10° = 2(32) + 10° = 74°
⇒ 3x + 10° = 3(32) + 10° = 106°
Answer: The two angles are 74° and 106°
56:05
What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
O x= -6
=)
O x=-4
O y = -6
O y = -4
10 x
(-4×-6) =-24÷6=4
24÷4=6. x=4. x=6
what is the slope of a line perpendicular to the line whose equation is x-3y=-27
(Please help, Very desperate and I have a limited amount of time to get this done please hurry asap)
Will give brainliest to first who answers
Answer:
Pic1 answers:
P(blue) = 4/26,
P(yellow or green) = 14/26
P(purple) = 0.0%
P(red or green) = 18/26
P(not pink) = 26/26
P(not blue) = 22/26
Pic2 answers:
P(u) = 1/12
P(Vowel) = 6/12
P(a,b,c,d,e) = 4/12
P(Not A) = 10/12
P(vowel or consonant) = 12/12
P(not an m,s,t) = 9/12
-31,-22,-33 find the 35th term
Answer:
easy bro go and use m-a-t-h w-a-y
Step-by-step explanation:
it's going to help
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11
Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
13/20
Step-by-step explanation:
To add fractions without the common denominator, you have to make them equal so
1/4 x 5 = 5/20
2/5 x 4 = 8/20
5/20 + 8/20 = 13/20
Answer:
13/20 miles.
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{2}{5}[/tex]
= [tex]\frac{5}{20} +\frac{8}{20}[/tex] (find the common denominator and convert the fractions)
= [tex]\frac{13}{20}[/tex]
13/20 is the most simplified it will go, so you will have walked 13/20 miles.
Hope this helps!
Is 3x – 1= 7 and
3x = 8 equivalent
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Take the 1st equation & solve it :-
[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]
Now, take the second equation :-
[tex]3x = 8[/tex]
[You can't further solve this equation]
So, from the 2 solved equations we can see that,
[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]
✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
15 points I really need help with this!! And please have work not just the answer!! No links please!!
Answer:
16(sin 30degrees) = BC
BC = 8
Marty and Ethan both wrote a function, but in different ways.
Marty
y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.
Ethan
A two column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 9.2, 9.6, 10, 10.4.
Whose function has the larger slope?
Marty’s with a slope of 2/3
Ethan’s with a slope of 2/5
Marty’s with a slope of 1/3
Ethan’s with a slope of 1/5
Answer:
Marty's with a slope of 1/3
Step-by-step explanation:
The functions Marty and Ethan wrote are analyzed the find the slope of each of the function
The equation Marty wrote is presented here as follows;
[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]
Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;
[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]
[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]
[tex]y = \dfrac{1}{3} \cdot x[/tex]
By comparison, the slope of the function, m = 1/3
[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]
Marty's function has a slope of m = 1/3
Ethan has the following two column table;
[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]
The slope, m, of the data in the above table is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;
[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]
Ethan's function has a slope of m = 1/5
Therefore;
Marty's slope of 1/3 is larger, given that 1/3 > 1/5.
Answer:
C. Marty’s with a slope of 1/3
Step-by-step explanation:
Did the test and got it correct
a sum of money was equally distributed among some boys
had there been 10 boys more
Answer:
I think I know what question you are trying to write because it sounds like the question I did years ago.
It is Rs 200
Step-by-step explanation:
Your welcome! :)
ANSWER QUICKLY PLEASE AND THANK YOU!!!
Answer:
2,3
Step-by-step explanation:
One number is 8 times as large as another. Their difference is 21. What is the larger number?
Explanation:
x = smaller number
8x = larger number, since it's 8 times larger than the smaller
8x-x = 7x = difference of the numbers
That difference is 21, so we can say 7x = 21 which solves to x = 3
The smaller number is 3 and the larger is 8x = 8*3 = 24
As a check: 24-3 = 21, which confirms the answer.
PLZ HELPP MARK BRAINLIEST 20 POINTS
Answer:
This is incorrect as 1/8 plus 3/5 is 29/40
Step-by-step explanation:
:)
Answer:
Susan is incorrect.
Step-by-step explanation:
First, what we do is add 1/8 + 3/5
Our result will be 4/13 because 1+3 = 4 would be as the numerator, and 8+5 = 13 would be as the denominator.
We can't simplify 4/13.
If we did increase the number, however, it would be 8/26, which is not close to the answer.
Therefore, Susan is incorrect.
-kiniwih426
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.
Answer:
1/4x = 15/16
Step-by-step explanation:
1/4x = 15/16
Which choice is equivalent to the expression below?
-25
A. -5
B. 51
C. 251
D. 5 + 1
E. -25
Answer:
the choice is equivalent to -25
Solve the system of equations below.
X-2y=3
2x - 3y=9
Answer:
(9,3)
Step-by-step explanation:
Hope this helps
PLS HELP PLS The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a ASA congruence correspondence?
A. ∠N≅∠M
B. ∠A≅∠M
C. ∠A≅∠O
D. AN¯¯¯≅OM¯¯
Answer:
A
sinse its side angle side so the angle beside the side is second
hope it helps
Step-by-step explanation:
The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M
What is ASA congruency rule?If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.
According to the given question.
We have two triangle NDA and MTO in which
m ∠NDA = m ∠MTO
and NA = MT
Now, according to ASA congruency rule
NA = MT
if m ∠DNA = m ∠TMO
Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.
Thus, option A is correct.
Find out more information about ASA congruency rule here:
https://brainly.com/question/2848632
#SPJ3
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
B. Yes, because it is a curved line.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.
Answer:
c
Step-by-step explanation:
whats the ratio of 32:40
Answer:
4:5
Step-by-step explanation:
32:40
=>32/40
=>diving numerator and denominator by 8
=>4/5
=>4:5
Answer: 4:5
Step-by-step explanation:
32 and 40 share a common factor of 8. We can divide both of them by 8 so that the ratio stays the same value and it'll be in it's simplest form.
[tex]\frac{32}{8} =4\\\frac{40}{8} =5[/tex]
4:5 is the final answer.
Data is collected on the number of ice cream cones sold in a shop on a certain day and the number of people wearing sunglasses visiting the shop that same day. What type of relationship is most likely to exist between these two variables?
1. positive correlation and causal relationship
2. negative correlation and causal relationship
3. positive correlation but not causal relationship
4. negative correlation but not causal relationship
Answer:
3. positive correlation but not causal relationship
Step-by-step explanation:
A positive correlation is when one factor increases, the other factor increases as well.
A negative correlation is when one factor increases, the other factor decreases.
A causal relationship is when one factor causes the other factor change in a certain way (i.e. increase or decrease).
More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.
I hope this helps! If you have any question, feel free to as. :)
Use an algebraic approach to solve the problem.
Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answer:
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Step-by-step explanation:
Use the formula for the mean: sum of elements / number of elements
Let x represent her first exam score.
Her second exam score can be represented by x + 11, since it was 11 points better than her first.
Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.
Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):
mean = sum of elements / number of elements
87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3
Add like terms and solve for x:
87 = (3x + 27) / 3
261 = 3x + 27
234 = 3x
78 = x
So, her first score was a 78.
Find her second score by adding 11 to this:
78 + 11 = 89
Find her third score by adding 5 to the second score:
89 + 5 = 94
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Hey im confused on how to solve this. Can Anyone help me?
Answer:
The minimum unit cost is $9374.
Step-by-step explanation:
The unit cost C for making x engines is given by the quadratic function:
[tex]C(x)=0.3x^2-162x+31244[/tex]
We want to determine the minimum unit cost.
Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 0.3, b = -162, and c = 31244.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]
In other words, in order to achieve the minimum cost, only 270 engines must be made.
Then to find the minimum cost, substitute the value back into the function. So:
[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]
The minimum unit cost is $9374.
The picture is above I’ll mark as brainliest.
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
Which describes the graph of y=-(x + 5)2 + 3?
A. Minimum at (-5,3)
B. Maximum at (5,3)
C. Minimum at (5,3)
D. Maximum at (-5,3)
Answer:
D
Step-by-step explanation:
Since there is a negative sign, the graph is a n shaped quadratic curve and hence, there can only be maximum point. Hence we can eliminate A and C.
For a curve in the completing the square form y = (x+a)²+b, the turning points are (-a,b). Hence in this case, turning point is at (-5, 3).
Hence the correct option is D
Answer:
D
Step-by-step explanation:
What is 5/2x + 2y = 5
Answer:
y= -x+1/2
Step-by-step explanation:
Use the table to answer the question.
The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?
a. 16 students
b. 40 students
c. 80 students
d. 106 students
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades
35 points. Brainliest gets double the points.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
32m^2
Step-by-step explanation:
32m^2
8*4 = 32
Have a nice day! :-)
IF A QUADRATIC FUNCTION OPENS UPWARD, DOES IT HAVE A MAXIMUM OR MINIMUM?
Answer: It will have a minimum.