The value of x is 6.
What are complementary?Complementary angles are angles that sum up to 90°.
Analysis:
For angles A and B, to be complementary, the sine of angle A must be equal to the cosine of angle B.
sin A = cos B
5X+9 = 3x+21
5x - 3x = 21 - 9
2x = 12
x = 6
In conclusion, the value of x to make angles A and B complementary is 6.
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Ok, so I have a math assignment that is due on Monday (so in 2 days), but I don't understand it. Here are the instructions:
You buy a pair of jeans at a department store.
Jeans_____ $39.99
Discount___ -10.00
Subtotal____ 29.99
Sales Tax___ 31.94
I have the first two questions done for this question, and I just need help on the last one. Here it is:
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The percent of markup is __%.
Can anyone please help me?
Thanks!
Can someone help me with 2. I will reward brainliest
Answer:
[tex]\tan 2 x = \dfrac{24}7[/tex]
Step by step explanation:
[tex]\textbf{2)}\\\\\text{Given that,} \\\\~~~~~\cos x = -\dfrac 45\\\\\implies \cos^2 x = \dfrac{16}{25}~~~~~~~~~~;[\text{Square both sides}]\\\\\implies 1- \sin^2 x= \dfrac{16}{25}\\\\\implies \sin^2 x = 1- \dfrac{16}{25}\\\\\implies \sin^2 x = \dfrac{9}{25}\\\\\implies \sin x =\pm\sqrt{\dfrac{9}{25}}\\\\\implies \sin x = \pm \dfrac 35\\\\[/tex]
[tex]\text{Since,}~ \pi \leq x \leq \dfrac{3\pi}{2}, ~ \text{the angle lies in the 3rd quadrant, where}~ \sin x ~ \text{is negative.}\\\\\text{So,}~ \sin x = -\dfrac 35[/tex]
[tex]\text{Now,}~\\\\\tan x = \dfrac{\sin x }{\cos x} = \dfrac{-\tfrac 35}{-\tfrac 45} = \dfrac 35 \times \dfrac 54 = \dfrac 34\\\\\\\tan 2x =\dfrac{2 \tan x }{ 1- \tan^2 x}\\\\\\~~~~~~~~~=\dfrac{2 \left( \tfrac 34 \right)}{1- \left( \tfrac 34 \right)^2}\\\\~~~~~~~~~=\dfrac{\tfrac 64}{1-\tfrac {9}{16}}\\\\\\~~~~~~~~~=\dfrac{\tfrac 32 }{\tfrac 7{16}}\\\\\\~~~~~~~~~=\dfrac 32 \times \dfrac{16}7\\\\\\~~~~~~~~~=\dfrac{24}7[/tex]
2. make sure you show all your work for full points. what is z?
Answer:
I don't understand what the means
According to a poll conducted by the gallup corporation in march 2011, the metropolitan areas with the highest and lowest proportions of obese adults were evansville, in-ky, and boulder, co, respectively. in evansville, for every 311 people who were not obese, there were 189 who were. in boulder, for every 16 obese people, there were 109 who were not obese. at that time, the estimated populations were 358,676 for evansville and 303,482 for boulder. how many more obese people were there in evansville than in boulder
Using proportions, it is found that 96,734 more obese people were there in evansville than in boulder.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For Evansville, the proportion of obese people is given by:
189/(311+189) = 189/500.
Hence, out of 358,676 people:
oE = 189/500 x 358676 = 135580.
For Boulder, the proportion is given by:
16/(16 + 109) = 16/125
Hence, out of 303,482 people:
oB = 16/125 x 303482 = 38846.
Hence the difference is given by:
135580 - 38846 = 96734
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What is the exact value of x?
Click the keyboard icon to type your answer using the math keyboard. If needed, use "/" to create a fraction.
x
8
60°
What is the distance between the two points (-48,23) and (15,23)
Answer:
63 units
Step-by-step explanation:
d = √(x2-x1)^2 + (y2-y1)^2
Meaning it would look like this
d = √(15+48)^2 + (23-23)^2
we changed the subtraction sign in the first one to an addition sign because it was a double negative
hope this helped
Quadrilateral abcd has the vertices a(-6,4) , b(-4,5) , c(-3,3) , d(-5,1) . determine if quadrilateral abcd is a rhombus
Answer:
No
Step-by-step explanation:
The defining property of a rhombus is that it has equal side lengths.
=============================================================
Finding all side lengths :
AB
⇒ √(-4 + 6)² + (5 - 4)²
⇒ √2² + 1²
⇒ √5 units
BC
⇒ √(-3 + 4)² + (3 - 5)²
⇒ √1² + (-2)²
⇒ √5 units
CD
⇒ √(-5 + 3)² + (1 - 3)²
⇒ √(-2)² + (-2)²
⇒ √8 units
DA
⇒ √(-6 + 5)² + (4 - 1)²
⇒ √(-1)² + 3²
⇒ √10 units
As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.
Write an equation in
y = mx + b form for
the line graphed.
Answer:
y=2x-5
explanation
m is gradient so rise over run and b is the y intercept which is -5
Answer: y = 2x - 5
Step-by-step explanation:
Method I:
▪︎ Slope: m = (y2 - y1) / (x2 - x1)
▪︎ b is where the graph crosses the y-axis
▪︎ Points: (1, -3), (2, -1)
▪︎ m = (-1 - (-3)) / (2 - 1) = (3 - 1) / (1) = 2
▪︎ b = -5
▪︎ => y = 2x - 5
Method II:
▪︎ y = mx + b
▪︎ Points: (1, -3), (2, -1)
▪︎ System of equations:
-3 = m*1 + b,
-1 = m*2 + b
-3 = m + b,
-1 = 2m + b
m = -b - 3,
-1 = 2(-b - 3) + b
m = -b - 3,
-1 = -2b - 6 + b
m = -b - 3,
-1 + 6 = -2b + b
m = -b - 3,
5 = -b
m = -(-5) - 3,
b = -5
m = 2,
b = -5
▪︎ => y = 2x - 5
Kofi brought 6 books and 10 pencils from a store ama brought 3 books and 20 pencils of the same kind from the store if each of them paid $ 17000.00 from the items find the cost of each pencil each book two books and 4 pencils
Answer:
Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!
system%2810b%2B6p=17000%2C3b%2B20p=17000%29
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let +a+ = the cost of 1 pencil
Let +b+ = the cost of 1 book
---------------------------
(1) +6b+%2B+10a+=+17000+
(2) +3b+%2B+22a+=+17000+
----------------------
Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +6b+%2B+44a+=+34000+
(1) +-6b+-+10a+=+-17000+
-------------------------
+34a+=+17000+
+a+=+500+
and
(1) +6b+%2B+10a+=+17000+
(1) +3b+%2B+5a+=+8500+
(1) +3b+%2B+5%2A500+=+8500+
(1) +3b+=+8500+-+2500+
(1) +3b+=+6000+
(1) +b+=+2000+
------------------
Step-by-step explanation:
IT,LL
HELP
help please it says name the property
Find the slope of the line?
Answer:
Step-by-step explanation:
(-5, 3) and (-5, -3)
(-3 - 3)/(-5 + 5) = -6/0 = UNDEFINED
That is also the CORRECT ANSWER
Which statement proves that quadrilateral JKLM is a kite?
The statement that proves that quadrilateral JKLM is a kite is (b) LM = JM = 3 and JK = LK = √17
The complete questionSee attachment for the complete question, the graph and the options
How to determine the true statement?The coordinates of the quadrilateral are:
J = (4,5)
K = (5,1)
L = (1,2)
M = (1,5)
Calculate the lengths of the kite using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]JK = \sqrt{(4 -5)^2 + (5 -1)^2} = \sqrt{17[/tex]
[tex]LK = \sqrt{(1 -5)^2 + (2 -1)^2} = \sqrt{17[/tex]
[tex]LM = \sqrt{(1 -1)^2 + (5 -2)^2} = 3[/tex]
[tex]JM = \sqrt{(1 -4)^2 + (5 -5)^2} = 3[/tex]
On a kite, the adjacent sides are of equal lengths
Because LM = JM = 3 and JK = LK = √17, we can conclude that the quadrilateral JKLM is a kite
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can i have help with this
Answer:
2nd option
Step-by-step explanation:
(5x² - 4x - 1) - (- 4x² - 4)
remove first set of parenthesis and distribute second set by - 1
= 5x² - 4x - 1 + 4x² + 4 ← collect like terms
= 9x² - 4x + 3
Line k is parallel to y= -2x - 1 and passes through the point (4,3). What is the y intercept of line k?
A. (0,1)
B. (0,7)
C. (0,10)
D. 0,11)
Solve number 11 pls
Answer:
b. x = 123
Step-by-step explanation:
What figure is graphed from the following points? Graph the figure. (6, 3) (9, 3) (9, 9)
Answer:
RIght triangle
Step-by-step explanation:
x-3y=4
2х-бу=Q
I’m trying to find the value of Q.
Answer:
Q=8
Step-by-step explanation:
Just multiply the entire first function by 2
therfore
(x-3y=4) * 2
therefore
=2x-6y=8
This is the same as the second function and in it, the coefficient of x is 2, therefore
Q=8
ABC is shown on the coordinate plane below
What is the perimeter of △ABC? If necessary, round your answer to the nearest tenth.
Using the distance formula, the perimeter of triangle ABC is approximately 40.5 units.
What is the Perimeter of a Triangle?Perimeter = sum of all three sides.
Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex] to find the distance between each of the vertices of the triangle.
The given vertices are:
A = (-6, 4)B = (8, -1)C = (0, -9)AB = √[(8−(−6))² + (−1−4)²]
AB = √221
AB ≈ 14.9 units
BC = √[(8−0)² + (−1−(−9))²]
BC = √128
BC ≈ 11.3 units
AC = √[(−6−0)² + (4−(−9))²
AC = √205
AC ≈ 14.3 units
Perimeter of △ABC = 14.9 + 11.3 + 14.3
Perimeter of △ABC ≈ 40.5 units
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What is the answer to 5x+5y=0 -8x+y=36 in ordered pairs?
Pls solve this for me
Answer:
141/1.95 km/hr, or 72.308 km/hr
Step-by-step explanation:
To find the average speed, we need to know the total distance traveled / time (hours).
The total distance is 72 km + 69 km = 141 km.
The total time is 48 minutes / 60 (because we want this in hours, not minutes) + 69/60 = 1.95 hours
141/1.95 = 72.3 km/hr
In a bag, there are red and blue cubes in the ratio 4 : 7
red blue
4;7
I add 10 more red cubes to the bag.
Now there are red and blue cubes in the ratio 6 : 7
red blue
6;7
How many blue cubes are in the bag?
The number of the blue cubes is 35 and the number of the red cubes is 20.
What is the ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.
Given that:-
In a bag, there are red and blue cubes in the ratio of 4: 7I add 10 more red cubes to the bag. Now there are red and blue cubes in the ratio of 6: 7The number of the blue cubes are calculated as:-
The two equations will be formed by the given data in the question.
[tex]\dfrac{r}{b}=\dfrac{4}{7}[/tex]
7r = 4b
[tex]\dfrac{r+10}{b}=\dfrac{6}{7}[/tex]
7r + 70 = 6b
Solving the above equation we will get the value of b.
4b + 70 = 6b
6b - 4b = 70
2b = 70
b = 35
7r = 4b
7r = 4 x 35
r = 20
Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.
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What is the minimum of the data?
0
5
7
13
Answer:
b; [5]
Step-by-step explanation:
i took the quiz
(05.06)Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.
Which graph best represents the scenario described?
The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have:
Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.
Based on the information given we can say graph third represents the situation.
First Keisha ran to swim practice so the line first increases and then she but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.
Again they both ran so line increases.
Then they both stayed for 1 hour, so the line should be constant.
Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.
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Here are four digit cards 6 5 5 7
arrange the cards to give the greatest possible answer to the calculation
Answer:
7 6 5 5
Step-by-step explanation:
the highest numbers should go in the leftmost digits place, as these are worth more
here, we put 7 in the thousands place, which is 2 thousand higher than if we put 5 in the thousands place
using suitable property find 1/2*3/7-5/7*1/2+2
Answer:
13/7
Step-by-step explanation:
Method 1 :
1/2*3/7-5/7*1/2+2 = (3/14)- (5/14) + 2
= -2/14 + 2
= -2/14 + 28/14
= 26/14
= 13/7
Method 2 :
1/2*3/7-5/7*1/2+2 = (1/2) [3/7 - 5/7] + 2
= (1/2)(-2/7) + 2
= (-1/7) + 14/7
= 13/7
Answers to the questions?
Based on the relationship of special angles, the values of x are:
1. x = 34
2. x = 9
3. x = 6
What are The Relationship of Angles Formed by a Transversal and Parallel Lines?Alternate interior angles are equals and corresponding angles are also equal.
Linear pair angles are supplementary.
1. Angles j and a are linear pair angles, therefore:
3x + 15 + 2x - 5 = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5
x = 34
2. Angles m and g are corresponding angles, therefore:
4x + 12 = 2x + 30
4x - 2x = -12 + 30
2x = 18
x = 9
3. Angles c and v are alternate interior angles, therefore:
6x + 9 = 3x + 27
6x - 3x = -9 + 27
3x = 18
x = 6
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Match the tan R, cos R and sin R to the correct ratios
please solve quickly
total no of marbles = 10
no. of marbles which are not yellow = 9
9/10
hope it helps...!!!
Please answer correctly.
Answer:
same thing for the rest, you just change the value of the radius according to the question
Step-by-step explanation:
area = pi * radius²
1)
a = pi * 10²
a = ~3.14 * 100
a = 314 mi²
Three coins are tossed up in the air, one at a time. What is the probability that the first two will land heads up and the third will land tails up?