Answers
Answer:
130⁰
Step-by-step explanation:
Let,
<Q = x
<R = y
So,
In ∆PQR
2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)
2(x + y) = 180 - 80
2(x + y) = 100
x + y = 100/2
x + y = 50
Now,
In ∆QOR
x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)
50 + QOR = 180
QOR = 180 - 50
QOR = 130⁰
Related Questions
quotient of 2 2/3 and 3 1/2
Answers
Answer:
16/21
Step-by-step explanation:
which inequality is a true statement select each correct answer
Answers
Answer:
A. False
B. True
C. False
D. False
E. True
Hope This Helps!!!
Solve for x help me please *****
Answers
Answer:
it's so blury pls fix the picture so I can solve it NOW
help me out plzzzzzz
Answers
Answer:
A=4, B=3, C=2, D=7 or A=2, B=7, C=4, D=3
Step-by-step explanation:
To factor this, you are looking for factors of 8×21 = 168 that have a sum of 34.
168 = 1×168 = 2×84 = 3×56 = 4×42 = 6×28 = 7×24 = 8×21 = 12×14
The sums of these factor pairs are 169, 86, 59, 46, 34, 31, 29, 26. The factor pair whose sum is 34 is 6×28. This means we can rewrite the expression as ...
8x² +28x +6x +21
Factoring by pairs gives ...
4x(2x +7) +3(2x +7)
(4x +3)(2x +7) ⇒ A=4, B=3, C=2, D=7 or A=2, B=7, C=4, D=3
Answer:
......................
A triangle has interior measures of 45° and 50°. What is the measure of the third angle?
950
850
90°
50
Answers
Answer:
85 degrees
Step-by-step explanation:
the inside of a triangle is always 180 degrees.
180-45-59=85
help please, put how you found it out if you can too !
Answers
Answer:
104 degrees
Step-by-step explanation:
180-(180-(180-(25+85)+65)+31)
Ryan equation for the perimeter
Answers
2x+ 36=60
2x=60-36
2x=24
X= 24/2
X= 12
What is 1 4/5 times 2 1/3
Answers
Answer:
4.2
Step-by-step explanation:
4 1/2
Explanation:1 4/5 = 9/5
2 1/3 = 7/3
---------------------------
9/5 · 7/3 = 21/5 OR 4 1/2
Solve the equations.
[tex]3(x+4)^{2} =10x+32\\(x+4)^{2} =3x+40\\\frac{x^{2} -1}{2} -11x=11[/tex]
Answers
Answer:
a) x = {-2 2/3, -2}
b) x = {-8, 3}
c) x = {-1, 23}
Step-by-step explanation:
If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.
__
In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.
a)3(x+4)^2 = 10x +32 . . . . . given
3(x^2 +8x +16) -10x -32 = 0
3x^2 +14x +16 = 0
To factor this, we're looking for factors of 3·16 that total 14.
48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8
The last pair of factors has a total of 14, so we can rewrite the equation as ...
(3x +6)(3x +8)/3 = 0
(x +2)(3x +8) = 0
The solutions are the values of x that make the factors zero:
x = -2, x = -8/3
__
b)(x +4)^2 = 3x +40 . . . . . . . . given
x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side
x^2 +5x -24 = 0 . . . . . . . . simplify
(x +8)(x -3) = 0 . . . . . . factor
The solutions are the values of x that make the factors zero:
x = -8, x = 3
__
c)(x^2 -1)/2 -11x = 11 . . . . . given
x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side
x^2 -22x -23 = 0 . . . . . . simplify
(x -23)(x +1) = 0 . . . . . . factor
x = 23, x = -1
_____
Additional comment
Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.
factoring by pairs
We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.
3x^2 +6x +8x +16 = 0
Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.
(3x^2 +6x) +(8x +16) = 0
3x(x +2) +8(x +2) = 0
(3x +8)(x +2) = 0 ⇒ x = -8/3, x = -2
__
factoring using the X method
This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.
In the bottom quadrant is written the coefficient of the x-term: 14.
If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.
The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.
Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)
__
alternate X method
This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...
(ax +p)(ax +q)/a = 0
You will notice we used this form above: (3x +6)(3x +8)/3 = 0.
Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...
(x +2)(3x +8) = 0
__
Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...
[tex]\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)[/tex]
Convert the equation g(x) = −(x − 7)2 +5 into standard form.
Answers
Answer:
7
Step-by-step explanation:
You have to add 2 and 5, the rest is stuff to distract you
If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD
B. EF
C. ED
D. CA
Answers
Answer:
EF
Step-by-step explanation:
BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.
Answer:
EF
Step-by-step explanation:
The corresponding side to BC is EF.
Look at the bolded letters
ABC ⇒ DEF
notice the similarities?
Which of the following options have the same value as 2\%2%2, percent of 909090?
Answers
Answer:
2 percent equals 0.02
so we just multiply that by 909090 so
0.02*909090=18181.8
Hope This Helps!!!
HELP FAST (x+y+2)(y+1) REWRITE IN AN EQUATION
Answers
Answer:
xy+x+y^2+3y+2
Step-by-step explanation:
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answers
Answer:
x > -1
Step-by-step explanation:
-10 < x - 9 add 9 to both sides of the inequation
9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:
-1 < x and x > -1
Please help me and If your answer is wrong or not appropreat I will report it
Simplify (-2x^(3)y^(7))^(2)(3x^(2)y^(2))^(5)
Answers
Answer:
972 x^16 y^24
Step-by-step explanation:
Simplify the following:
(-2 x^3 y^7)^2 (3 x^2 y^2)^5
Multiply each exponent in -2 x^3 y^7 by 2:
(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5
2×7 = 14:
(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5
2×3 = 6:
(-2)^2 x^6 y^14 (3 x^2 y^2)^5
(-2)^2 = 4:
4 x^6 y^14 (3 x^2 y^2)^5
Multiply each exponent in 3 x^2 y^2 by 5:
4 x^6 y^14×3^5 x^(5×2) y^(5×2)
5×2 = 10:
4×3^5 x^6 y^14 x^(5×2) y^10
5×2 = 10:
4×3^5 x^6 y^14 x^10 y^10
3^5 = 3×3^4 = 3 (3^2)^2:
4×3 (3^2)^2 x^6 y^14 x^10 y^10
3^2 = 9:
4×3×9^2 x^6 y^14 x^10 y^10
9^2 = 81:
4×3×81 x^6 y^14 x^10 y^10
3×81 = 243:
4×243 x^6 y^14 x^10 y^10
4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:
4×243 x^(6 + 10) y^(14 + 10)
14 + 10 = 24:
4×243 x^(6 + 10) y^24
6 + 10 = 16:
4×243 x^16 y^24
4×243 = 972:
Answer: 972 x^16 y^24
Answer:
972x^(16)y^(24)
Step-by-step explanation:
Hope it correct !!
What is the mean of 9, 8, -15 and -12?
The Mean is:
Answers
Answer:
-2.5
Step-by-step explanation:
add all the values and divide by the no of values present
Can someone plz help Me?
Answers
Answer:
A and C
Step-by-step explanation:
a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?
Answers
Answer:
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
2+5+8+….+3n-1=n(3n+1)/2
Answers
Answer:
all you do is() first divide then go from left to right answers 4
pls help me with my maths if you can
Answers
A) R- d✖️5= x
B) m/4 - b = x
12x+15y=-45 put into slope-intercept form, simplify all fractions.
Answers
Answer:
y = -4/5 x - 3
Step-by-step explanation:
15y = -45 - 12x
5y = -15 - 4x
y = -4/5 x - 3
will mark brainleist pls hep
Answers
Answer: 242
Brainliest plsssssss
Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!
Answers
Answer:
option A
Step-by-step explanation:
The given Series:
10,14,18,22,26... is an Arithmetic Progression.
Concept:
The difference between consecutive numbers always remains the same.
For instance:
14 - 10 = 18 - 14 = 22 - 18 = 4
This difference is known as the common difference.
In an A.P., the nth (an) term of a series can be found out by:
[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]
Here,
an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]
Soltution:
The first term of the given Series is 10.
==> a1 = 10
Finding an:
the nth term will be:
an = 10 + (n - 1)4
==> 10 + 4n - 4
==> 6 + 4n
Strategy:
All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).
Finding a(n-1):
==> a(n-1) = 10 + ((n - 1) -1)4
= 10 + (n- 2)4
= 10 + 4n - 8
= 4n + 2
Subtracting a(n-1) from an:
==> an - a(n-1) = 6 + 4n - (4n + 2)
==> an - a(n-1) = 6 + 4n - 4n - 2
==> an - a(n-1) = 4
==> an = 4 + a(n-1)
Hence, option A is the answer.
The nth term of the sequence 27,37,47
Answers
Answer: The 9th term of the sequence 27,37,47 is 107.
The manger of a water park keeps track of the amount of money collected, M, and the number of tickets,T, each day.
Answers
Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.
TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9
Answers
The penny reaches the water at 3.5 seconds
The height function is given as:
[tex]d = -16t^2 + 196[/tex]
(a) Graph the function
See attachment for the graph of the function
(b) Time to reach the water
From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5
But the time (t) cannot be negative.
Hence, the penny reaches the water at 3.5 seconds
Read more about height functions at:
https://brainly.com/question/10837575
What is the slope and and y-int of y≤3
Answers
Answer:
0
I hope this is the correct answer
Answer: Slope = 0, y-intercept = 3
Step-by-step explanation:
The inequality is a horizontal line, where everything below 3 is agrees with the inequality
The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3
IS IT VALID OR NOT (explaining would be helpful) you want to determine how many students consider math to be their favorite school subject. you randomly survey 75 students. thirty-three students consider math to be their favorite subject while forty-two does not. so, you conclude that 40% of students at your school consider math to be their favorite subject.
Answers
Answer:
I would say not valid
Step-by-step explanation:
well, it would actually be 44% since 33/75= 0.44 to represent the number of ppl hat consider math their favorite subject
Write TWO different equations that you could use to solve for x. You don't need to solve.
Answers
Answer:
see explanation
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)
The 3rd angle in the triangle is
180° - (90 + 52)° = 180° - 142° = 38°
Using the sine ratio in the right triangle
sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)
Which one is not a function??
Answers
Answer:
The first one. All the x values are 2. So it wouldn't pass the vertical line test.
Step-by-step explanation: