Answers
Answer:
24°
Step-by-step explanation:
Let x = one complementary angle
Let y = the other complementary angle
As the sum of two complementary angles is 90°:
x + y = 90
If one angle is 18° more than two times the other angle:
y = 18 + 2x
Rewrite x + y = 90 to make x the subject:
x = 90 - y
Now substitute x = 90 - y into y = 18 + 2x and solve for y:
y = 18 + 2(90 - y)
⇒ y = 18 + 180 - 2y
⇒ 3y = 198
⇒ y = 198 ÷ 3 = 66
Now substitute found value of y = 66 into x + y = 90 and solve for x:
x + 66 = 90
⇒ x = 90 - 66 = 24
Therefore, the larger angle = 66° and the smaller angle = 24°
Related Questions
In a right triangle, sin (3x+5)^\circ(3x+5) = cos (8x+9)^\circ(8x+9) Solve for x. Round your answer to the nearest hundredth if necessary.
Answers
Right triangles are triangles with a measure of 90 degrees
The value of x is 76/11
How to calculate x in the triangleThe equation is given as:
sin (3x+5) = cos (8x+9)
To solve for x, we make use of the following theorem
If sin(A) = cos(B), then
A + b = 90
So, we have:
3x + 5 + 8x + 9 = 90
Collect like terms
3x + 8x = 90 - 5 - 9
Evaluate the like terms
11x = 76
Divide both sides by 11
x = 76/11
Hence, the value of x is 76/11
Read more about right triangles at:
https://brainly.com/question/2437195
Marcus rode his bike 60 miles in 4 hours. Marcus thinks that in order to find the unit rate, he should determine how far he rode his bike in 2 hour(s). Is Marcus correct?
Answers
Answer:
No, he is not correct
Step-by-step explanation:
To find the unit rate you need to .60 by 4. you will get 2.4, which is the
unit rate. he rides his bike 2.4 mph.
Please help me!!!!!!!!
Answers
Step-by-step explanation:
Let's turn each mixed fraction into an improper fraction.
[tex]1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} [/tex]
[tex]2 \frac{1}{5} = \frac{5}{5} + \frac{5}{5} + \frac{1}{5} = \frac{11}{5} [/tex]
We'll use 11/5 twice.
Multiply:
[tex] \frac{5}{4} \times \frac{11}{5} = \frac{55}{20} [/tex]
[tex] \frac{55}{20} = \frac{20}{20} + \frac{20}{20} + \frac{15}{20} = 2 \frac{15 \div 5}{20 \div 5} = 2 \frac{3}{4} [/tex]
Multiply the Second problem:
[tex]\frac{5}{6}\times\frac{11}{5}=\frac{55}{30}[/tex]
[tex]\frac{55}{30} =\frac{30}{30} +\frac{25}{30}= 1 \frac{25 \div 5}{30 \div 5} = 1 \frac{5}{6}[/tex]
Compare:
[tex]2 \frac{3}{4} > 1\frac{5}{6} [/tex]
2 3/4 is greater, we can identify this a few ways:
Decimals, 2 3/4 equals 2.75 while 1 5/6 equals 1.83Whole numbers, 2 is greater than 1.Improper fractions, 2 3/4 as an improper fraction is 11/4 while 1 5/6 as an improper fraction is 11/6.Therefore, your answer is >
Complete the table.
Original Price: Percent of discount: Sell Price:
? 25% $40
PLEASE HELP FASTT 100 points
Answers
Answer:
you saved $10.00
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 40 × 25/100
Discount = 40 x 0.25
Answer:
10
Step-by-step explanation:
What is 25% of 40?
Y is 25% of 40
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 25% * 40
Converting percent to decimal:
p = 25%/100 = 0.25
Y = 0.25 * 40
Y = 10
Slope= 2 y-intercept=3. Write in point slope form
Answers
Answer:
Y-3=2(x-0)
Step-by-step explanation:
To find our answer, we have to use point slope form
Point slope form looks like this:
Y-y1=m(x-x1)
When we fill these things in we get,
Y-3=2(x-0)
Hope this helps and please award brainliest
Answer:
y-3 = 2(x-0)
Step-by-step explanation:
Write the point slope form of the equation of the line through the given points : (-4,-1) and (-3,1)
PLEASE EXPLAIN. (STEP BY STEP)
Answers
Answer:
Slope (m)= 4/3
Step-by-step explanation:
y2-y1/x2-x1
m=y2−y1x2−x1
m=1−−3/−1−−4
m=4/3
is 11/-3 positive or negative How do you know?
Answers
Answer:
positive
Step-by-step explanation:
because it is more than zero
how do I put (-3,2) and (-2,-3) in slope formula
Answers
The slope formula is
(y2-y1)/(x2-x1)
In the point (-3,2),
-3 is x and 2 is y
y2 represents the second y point, and y1 represents the first y point
same for x
so, its
(-3-2)/(-2-(-3))=
-5/1=
-5
Find the value of x in the figure.
Answers
Answer:
145
Step-by-step explanation:
Evaluate 65 - 3 x [ ( 28 - 8 ) / ( 24 / 6 ) ]
Answers
Answer:
65 − 15x
Step-by-step explanation:
Answer:
50Step-by-step explanation:
65 - 3 × [ ( 28 - 8 ) / ( 24 / 6 ) ] = 65 - 3 × (20/4) = 65 - 3 × 5 = 65 - 15 = 50Sasha likes to run on a track that is 58 of a mile. If she runs 7 laps. How many miles did she run? 758 678 548 438
Answers
Answer:
4 miles
Step-by-step explanation:
4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps
7 x 0.58=4.06 which is 4 miles
Have a good day :}
100 Points!!!
The table shows the number of calories in different numbers of apples.
Number of apples 3 5 8
Number of calories 195 325 520
How many calories are in 9 apples?
Answers
Answer:
585 calories are in 9 apples
Step-by-step explanation:
Number of apples : 3 || 5 || 8
Number of calories: 195 || 325 || 520
Find the unit rate:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{325-195}{5-3}[/tex]
[tex]\frac{130}{2}[/tex]
[tex]65[/tex]
Find equation:
y - 325 = 65( x -5)
y = 65x - 325 +325
y = 65x .....this is the equation to find any number of calories.
put x as 9 here:
y = 65x
y = 65(9)
y = 585 calories
Q11. Helen invested £6000 for n years in a savings account. She got 3% compound interest each year. At the end of n years Helen had £7379.24 in her savings account. Work out the value of n. You must show your working.
Answers
Answer: 100/103, 184481/150000
Step-by-step explanation:
a) Write down the mathematical name of this shape.
Ps. It’s not quadrilateral already tried that
Answers
Answer:
right trapezoid
Step-by-step explanation:
It is a quadrilateral, but it's a special type called a right trapezoid (or trapezium, depending what country you are from).
The definition of a right trapezoid is a quadrilateral (4 sided shaped) with 2 parallel sides and 2 adjacent right angles.
Which property will we need to use to solve the equation?
x - 10 = 5
Answers
Answer:
Addition Property of Equality
Step-by-step explanation:
To solve this equation, we need to use the Addition Property of Equality because we need to add 10 to both sides to isolate x...
x-10=5
x-10+10=5+10
x=15
3. Miley bought 4 oranges, 3 apples and 7 pears. What is the ratio
of pears to total pieces of fruit?
Answers
Find total amount of fruit by adding
4+7+3=14
7 pears to 14 total fruits in ratio form is 7:14 which simplifies to 1:2
Evaluate x + y + z for x = 2, y = -3, z = -4.
Answers
Hey there!
x + y + x
= 2 + (-3) + (-4)
= 2 - 3 - 4
= -1 - 4
= -5
Therefore, your answer is: -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the measure of ∠CBE: A line containing points A, B, and E intersects with a line containing points C, B, and D at point B. Angle ABD is 30 degrees: A. 30° B. 60° C. 90° D. 150°
Answers
Answer:
the answer is always c trusttt
Fill in the blank with the correct response.
5% of 80 is _______?
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Write 5% as
5/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
5/100 of 80 = 5/100× 80
Therefore, the answer is 4
If you are using a calculator, simply enter 5÷100×80 which will give you 4 as the answer.
What is the value of p in this proportion?
56p=2312
Enter your answer as a simplified fraction in the box.
p =
Answers
Answer:
41 28571/100000
Step-by-step explanation:
56p = 2312
We rewrite this expression into this:
p = 2312/56 ≈ 41.286
find the value of 50% of 60
Answers
Answer:
30
Step-by-step explanation:
50% = 1/2
so 60/1 * 1/2
30 or
60 * 1/2
pls help only if ur sure of the answer!
Answers
Answer:
C
Step-by-step explanation:
[tex]12000 \times {1.05}^{4} = 14586[/tex]
the answer for it what is it
Answers
Answer:
1.378 approximately 1.38
Step-by-step explanation:
we're looking for x which is the opposite in the diagram we've been given the hypotenuse in the question as 1.8
so we use sin = opp/hypotenuse
sin50= x/1.8
x = sin50× 1.8
x= 1.378
approximately 1.38
Could you help, please? :)
Answers
Answer:The first one, the second one, the fourth one, then the third one
Step-by-step explanation:
Answer:
Original options: -2 2/3 --> -2.43 --> 2.045 --> 2 5/9
Step-by-step explanation:
It will help to make all of the numbers the same, into all fractions or all decimals, so you can compare them easier. I will make them decimals.
-2 2/3 --> -2.6666... (the 6s don't end)
-2.43
2 5/9 --> 2.5555... (the 5s don't end)
2.045
You can easily split the options in half, as the top two are both negative and the bottom two are positive. So you have to figure it out amongst the two groups.
From least to greatest: -2.666 --> -2.43 --> 2.045 --> 2.555
Original options: -2 2/3 --> -2.43 --> 2.045 --> 2 5/9
Choose the expression that represents "the
product of a number and five is two less than the
number."
x/5 = 2-X
5x = 2 x
5x = x-2
x/5 = X-2
Answers
Answer:
5x = x - 2
Step-by-step explanation:
"And" means to multiply, so 5 × (x)
two less than a number is "X - 2"
I hope this helps!
Griffin’s General Store is having a 30% off sale on fans. Robert paid $24. 50 for a fan that was on sale. What is the original price of the fan?.
Answers
Step-by-step explanation:
Since Griffin’s General Store is having a 30% off sale on fans, it simply means that fans are paying for (100%-30%)= 70%.
Let the original price be x;
Therefore, 70% of x equal to $25;
70/100x = 25
0.7x = 25
x = 35. 71
(There ya go)
the area of rectangle is 18cm².its length is double than of its breath find its length and breadth
find its perimeter
Answers
Answer:
length = 6 cm, breadth = 3 cm, perimeter 18 cm
Step-by-step explanation:
Let the breadth be x,
Then the length will be 2x
area of rectangle = length * breadth
using the formula:
(2x * x) = 182x² = 18x² = 9 x = √9x = 3The breadth is 3 cm
Length:
2x2(3)6 cmperimeter of rectangle:
2( length + breadth )2( 3 + 6 )2(9)18 cmFor more length, area, width questions:
https://brainly.com/question/26671255
Answer:
Step-by-step explanation:
Let the breadth = x cm
Length = 2x
2x *x = 18
x² = 18/2
x² =9
x = √9
x = 3 cm
Breadth = 3 cm
Length = 2*3 = 6 cm
Perimeter = 2*(length + breadth)
=2*(3+6)
= 2*9
Perimeter = 18 cm
This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V'?
In your answer, give the scale factor that was used and explain how you
calculated it.
Answers
Answer:
k = 2/3Step-by-step explanation:
Find the length of two corresponding sides.
MS = 6 - (-3) = 9 unitsM'S' = 4 - (-2) = 6 unitsThe scale factor is the ratio of corresponding sides:
k = M'S'/MS = 6/9 = 2/3Answer:
k = 2/3
Step-by-step explanation:
Find the value of x. KU = 3x + 3 UM = 4x - 4
Answers
The value of x in the given parallelogram is: x = 7.
What is the Diagonal of a Parallelogram?A parallelogram has two congruent diagonals that bisect each other into equal segments.
Thus:
KU = Um
Substitute
3x + 3 = 4x - 4
Combine like terms
3x - 4x = -3 - 4
-x = -7
x = 7
Therefore, the value of x in the given parallelogram is: x = 7.
Learn more about parallelogram on:
https://brainly.com/question/3050890
Simplify this expression
10a + 6x-2a-3x
Answers
Answer:
[tex]3x+8a[/tex]
Step-by-step explanation:
Given the following question:
[tex]10a+6x-2a-3x[/tex]
In order to find the answer, we combine like terms and then simplify.
[tex]10a+6x-2a-3x[/tex]
[tex]=6x-3x+10a-2a[/tex]
[tex]6x-3x=3x[/tex]
[tex]10a-2a=8a[/tex]
[tex]=3x+8a[/tex]
[tex]3x+8a[/tex]
Hope this helps.