In right-angled triangle, the difference between two of the angles is 20 degrees. a) Work out the Size of the angles in the triangle. b) How many solutions are there to A?
Answers
Answer:
The sum of interior angles of a triangle is 180°
In a right triangle, one of the three angles is 90°. Therefore, the sum of the other two angles is 90°.
Let a = one unknown angle
Let b = the other unknown angle
As the sum of the angles is 90°:
⇒ a + b = 90°
As the difference between the two angles is 20°:
⇒ a - b = 20°
Rewriting the first equation to make a the subject:
⇒ a = 90° - b
Substituting this into the second equation and solving for b:
⇒ 90° - b - b = 20°
⇒ 90° -2b = 20°
⇒ 70° = 2b
⇒ b = 35°
Substituting found value for b into a = 90° - b and solving for a:
⇒ a = 90° - 35°
⇒ a = 55°
Therefore, the two unknown angles are 35° and 55°
Related Questions
what is the answer for 6-7b+7bx3+b?
Answers
Answer:
=7bx3−6b+6
Step-by-step explanation:
6−7b+7bx3+b
=6+−7b+7bx3+b
=6+−7b+7bx3+b
=(7bx3)+(−7b+b)+(6)
=7bx3+−6b+6
Answer:43b
Step-by-step explanation:7+7 x3 +b = 43b
A balloon is measured at 45 feet above the ground. Two minutes later it is measured at 92 feet above the ground. By what percent has the height of the ballon changed?
Answers
what is an equation of the line that passes through the point (5, -7) and has a slope of 0
Answers
Answer:
y= -7
Step-by-step explanation:
A line that has a slope of zero is a horizontal line
Horizontal lines are of the form
y=
The y coordinate is -7
y= -7
-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.
Answers
Answer:
x = 14/-7
x = -2
It has ONE SOLUTION
A trail mix has 16 cups of raisins, 3 cups of dates, 24 cups of peanuts, and 2 cups of cashews. Which
Ingredients are in the same ratlo as cashews to raisins?
The ratio that is the same is? to 2
Answers
Answer:
Step-by-step explanation:
The ratio for cashews to raisins is 2:16 and you can simplify that by 2 because they are factors of 2. When you simplify you get 1:8.
The ratio for dates to peanuts is 3:24 and you can simplify that by 3 since they are factors of 3. When you simplify by 3, you get 1:8 which is the same ratio for cashews to raisins.
Solve the equation below :
7 – 9x – 15 + 12x
Answers
Answer:
-8+3x
Step-by-step explanation:
7 – 9x – 15 + 12x
We cannot solve since there is no equals sign, we can only simplify
Combine like terms
7 -15 -9x+12x
-8 +3x
Answer:
3x - 8
Hope that was the answer you were looking for :D
Part A: Solve for A
Part B: Determine m∠ABQ
Part C: Determine m∠BCR
If there is work please show if you can
Answers
Answer:
a=25
angle abq=139 degrees
bcr=41
Step-by-step explanation:
(2a-9)+(5a+14)=180
7a+5=180
7a=175
a=25
2(25)-9=41
180-41=139
angle abq=139 degrees
bcr=41
In a video game Nutcracker Sweet, a squirrel finds a nut. When he cracks that nut, 4 more nuts come out. When he cracks those 4 nuts, 4 more nuts come out of each. If this process continues, how many nuts will there be after 5 of these nut-cracking sessions? (Cracked nuts are counted as a nut.)
Answers
Answer and explanation:
4294967296 nuts
Please find attached
Answer:
127 nuts
Step-by-step explanation:
there is no explenation here... the answer is 127 nuts
Gary has a strip of paper that is 1712 inches long. He will place a sticker on the paper every
114 inches.
How many stickers will Gary place on the strip of paper?
Answers
Answer:
15
Step-by-step explanation:
pls rate and thank me so i can get the points, thanks
Answer:
he can fit 15 stickers...............................
Step-by-step explanation:
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Put your answer in fully reduced form.
Answers
Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
[tex]y = m\cdot x + b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex](x_{1},y_{1}) = (0,3)[/tex] and [tex](x_{2},y_{2})=(5,-3)[/tex], the following system of linear equations is constructed:
[tex]b = 3[/tex] (Eq. 2)
[tex]5\cdot m + b = -3[/tex] (Eq. 3)
The solution of the system is: [tex]b = 3[/tex], [tex]m = -\frac{6}{5}[/tex]. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].
Find the fifth term of the sequence
3, 5, 9, 17, _
(If you need help: The rule of the following sequence is k = 2n +1 )
Answers
Answer:
33
Step-by-step explanation: the number added itself gets multiplied by two. so 3+2 then 5+4 then 9+8 then 17+16
A polygon is shown
If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates
Answers
Answer:
A will be at -3.3 B will be at -4.1 C will be at 6.1 D will be at 1.3 hope this helps
PLEASE HELP ME!! URGENT!!WILL MARK BRAINLIEST
Answers
if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.
Answers
Answer:
[tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]
Step-by-step explanation:
[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]
How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-8
Answers
-3(n+6)+10=-8
Use distributive property:
-3n -18 +10 = -8
Combine like terms:
-3n -8 = -8
Add 8 to both sides:
-3n = 0
Divide both sides by -3:
n = 0
Answer:
n=0
Step-by-step explanation:
Part A: What is a statement in a two-column proof?
Answers
Answer:
the left column is the statement and Right column is the reason. The statement is the steps of how are you going to solve the problem
The y intercept of the line whose equation is 7x - 4y=8
7/4
8
-2
Answers
Answer:
y intercept is -2.
Step-by-step explanation:
Convert the equation to slope-intercept form, or in other words, isolate the y variable. You should get y=(7/4)x-2. the -2 is the y intercept.
Hope this helped!
Solve the inequality, write the solution in interval notation. Then graph it on a number line.
I need help :
Answers
Answer:
z < 4 or z > -6
Step-by-step explanation:
5z < 20
z < 4
or
z > -6
z < 4 or z > -6
Given A and B are vertical angles with m anglr A = 20x + 10 and m angle B =30x - 10 , what is X?
Answers
Answer: The answer is 2
Step-by-step explanation:
Given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2
From the Vertical angle theorems, we have that
Two opposite vertical angles formed when two lines intersect each other are always equal to each other.
Now, from the question, we are given that A and B are vertical angles
That means
A = B
Also, from the question
measure of angle A = 20x + 10 and measure of angle B = 30x - 10
To determine the value of x, we will equate the two equations to each other
A = 20x + 10
B = 30x - 10
Since, A = B
∴ 20x + 10 = 30x - 10
To solve for x,
First, add 10 to both sides20x + 10 + 10 = 30x - 10 +10
We get
20x + 20 = 30x
Now, subtract 20x from both sides20x - 20x + 20 = 30x - 20x
20 = 10x
That is,
10x = 20
∴ x = 20 ÷ 10
x = 2
Hence, given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2
Learn more here: https://brainly.com/question/5719544
(HELP MEEE PLEASEE) What are the coordinates of point Q?
A) 0,2
B) 2,4
C) 4,1
D)4,2
Answers
Answer:
B. (2,4)
Step-by-step explanation:
MATH HELP PLESE HELP ME
Answers
A supplementary angle is equal to 180°
The 81+99=180
Answer:
x=99
z=28
Step-by-step explanation:
180-81=99
81+3=84
84/3=28
the high road in scotland is 180 miles longer than the low road. when Jocelyn goes to scotland and returns along the low road the round trip is 1060 miles. how many miles is the high road
a.350
b. 440
c. 530
d. 620
Answers
Answer:
the aswer is 620(d)
Step-by-step explanation:
what i did was subtract 180 from 1060 and got 880
then i divides that by 2 and got 440
once i did that i then added the 18o to the 440 and got 620
Need help asap thank u
Answers
Answer:
<4 ~= <5 - Consecutive Interior Angles Theorem
<4 ~= <2 - Vertical Angles Theorem
<6 ~= <2 - Corresponding Angles Theorem
line I || line m - Transitive Property
Which measurement statement is correct 10 points
Answers
Which of the following is a plural subjective pronoun?
A. I
B. it
C. we
D. them
Answers
Answer:
D
Step-by-step explanation:
What is the equation of the line that passes through the point (-5, 1) and has a slope of-1/5
Answers
m = slope
b = y-intercept
y = -1/5 + 1
You get the y-int, 1, from the ordered pair (-5,1)
The 1 from
Answer: Y=1/5x-2
Step-by-step explanation:
You want to cover the tables with pumpkin paper. Each table is 3 1⁄2 feet by 6 feet. There are 4 tables. How much pumpkin paper will you need?
Please help.
Answers
Answer:
25
Step-by-step explanation:
multiply 3 1/2 by 6
add the answer 4 times
I THINK
what is the reduced ratio of 24:96
Answers
Answer:
Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4
Your answer is: 1:4
Step-by-step explanation:
Hope this helped : )
Answer:
1:4 is your ans
Step-by-step explanation:
please mark as brainliest
question in the picture:)
Answers
Answer:
$1.25
Step-by-step explanation:
10/8=1.25
Answer: $1.25
Step-by-step explanation: When you divide 10 by 8 you get and answer of 1.25. Or $1.25
Do you like me
What is formula
Answers
Answer:
what?
Step-by-step explanation:
Answer:
I am cunfushion
Step-by-step explanation: