Answer:
y = 2x + 3
Step-by-step explanation:
Find the measure of the exterior angle.
[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
true or false: when multiplying radicals, you multiply the radicands together and the numbers outside the radicals together
Can someone please help? The question is in the picture.
===========================================================
Explanation:
The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.
Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.
Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.
Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)
a^2 + b^2 = c^2
a^2 + 5^2 = 9^2
a^2 + 25 = 81
a^2 = 81 - 25
a^2 = 56
a = sqrt(56)
a = sqrt(4*14)
a = sqrt(4)*sqrt(14)
a = 2*sqrt(14)
The exact length of PQ and PS is 2*sqrt(14) units.
---------
We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.
perimeter = PQ+QR+RS+SP
perimeter = 2*sqrt(14)+5+5+2*sqrt(14)
perimeter = 10+4*sqrt(14)
Answer is choice B
Side note: The expression above approximates to roughly 24.966629
Of the flags in Albert's Flag Shop, 1/10 are pink and another 1/2 are orange. What fraction of the flags are either pink or orange?
Answer: 6/10
Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.
help pls i have 5 minss, no links
Answer:
3/25
Step-by-step explanation:
Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.
Answer:
do you need a graph of it or it just multiplied out step by step?
Answer:
3x^4-24x^3+72x^2-96x+48
Step-by-step explanation:
1. (x-2)^4
=(x-2)(x-2)(x-2)(x-2)
=x^4-8x^3+24x^2-32x+16
2. 3(x^4-8x^3+24x^2-32x+16)
=3x^4-24x^3+72x^2-96x+48
PLZ HELP ME
What is the quadratic regression equation for the data set?
yˆ=−0.175x2−3.786x+121.119
yˆ=−0.175x2+3.786x−121.119
yˆ=−0.175x2+3.786x+121.119
yˆ=−0.175x2−3.786x−121.119
x y
6 100
3 110
10 50
3 90
5 120
15 30
9 70
Answer:yˆ=−0.175x2−3.786x+121.119
look at picture
Step-by-step explanation:
The quadratic regression equation for the data set is:
y^ = -0.175x²-3.786x+121.119
What is Quadratic Regression Equation?Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.
According to the given problem,
Let us choose any value of x,
x = 10
For this value of x we can see that the respective value of y= 50
Substituting the value of x in the equations to see which equation satisfies the value of y as 50.
Substituting the value of x in the equation:
y^ = -0.175x²-3.786x+121.119
y^ = 50
Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.
Learn more about Quadratic Linear Equations here:
https://brainly.com/question/24639881
#SPJ2
KHAN ACADEMY..... AGAIN..
Answer:
x = 12
Step-by-step explanation:
10x+24 = 6x+72
10x - 6x = 72 - 24
4x = 48
x = 12
Answer:
144
Step-by-step explanation:
10x+24=6x+72
-6x -6x
4x+24=72
-24 -24
4x=48
/4 /4
x=12
<A=10(12)+24
<A=120+24
<A=144
can someone please help me with circle similarity?
Answer: were is your qustion at
plz make brainly
Step-by-step explanation:
which is equivalent to 2/9
Answer:
4/18 is equivalent to 2/9
Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?
Answer:
1750
Step-by-step explanation:
divide 7500 by 2 and you get 3750
3750-2000=answer
Answer:
1750
Step-by-step explanation:
7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.
3750-2000=1750 needed to save.
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104
Answer:
480
please mark brainliest
Find arc length for QT
Step-by-step explanation:
arc length for QT = 2× 71° = 142°
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =
Answer:
1/36
Step-by-step explanation:
7x+7=3x+27
What is the value of x
supplementary angles: look at the attachment to see the question
Answer:
x = 21
Step-by-step explanation:
21 x 3 = 63 and 63 + 67 = 130 and sense there across from eachother this is correct because vertical angles are always the same measure.
Hope this helps!
solve for x 1.6 equals 12.8
Answer: x=14.4
Step-by-step explanation:
Complete the frequency table for the following set of data. You may optionally click a number to shade it out.
5
5,
2
2,
5
5,
2
2,
3
3,
5
5,
1
1,
1
1,
3
3,
1
1,
0
0,
4
4,
4
4,
6
6,
2
2,
1
1,
0
0,
5
5,
4
4,
7
7,
2
2,
3
3,
0
0
Answer:
0 -> 6 in frquency
1 -> 8 in frequency
2 -> 8 in frequency
3 -> 6 in frequency
4 -> 6 in frequency
5 -> 8 in frequency
6 -> 2 in frequency
7 -> 2 in frequency
Step-by-step explanation:
brainliest plz
mean, median, mode, and range
23, 24, 24, 25, 26, 27, 28, 29, 30
Mean- 26.222222222222
Median- 26
Mode- 24
Range- 7
Hope this helped :D
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V ≈ 3367.6 cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )
Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so
V = [tex]\frac{4}{3}[/tex] × 3.14 × 9.3³
= [tex]\frac{4}{3}[/tex] × 3.14 × 804.357
= [tex]\frac{4(3.14)(804.357)}{3}[/tex]
≈ 3367.6 cm³ ( to the nearest tenth )
Pls help !! Will give brainliest
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
I need Answer Immediately!!!!!!!!!
Answer:
the equation is x-6
pls mark me as brainliest
What is the slope of the line y = 6x + 3?
3
-6
6
-3
Answer:
the answer is 6
Step-by-step explanation:
slope = m
y = mx + c
m = 6
Find the volume round to the nearest hundredth
Answer:
333.67
Step-by-step explanation:
trust
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
Answer:
[tex]h(-6) = -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]
Required
Determine h(-6)
To do this, we make use of:
[tex]h(x) = \frac{x + 4}{10}[/tex]
Because [tex]-7 \le -6 <-5[/tex]
So, we have:
[tex]h(x) = \frac{x + 4}{10}[/tex]
[tex]h(-6) = \frac{-6 + 4}{10}[/tex]
[tex]h(-6) = \frac{-2}{10}[/tex]
Simplify
[tex]h(-6) = -\frac{1}{5}[/tex]
factorise
3(m-4)+b(4-m)
Answer:
-(m-4)(b-3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping
Answer:
(m-4) (3-b)
Step-by-step explanation:
See the steps below:)
Please hurry, this is past due!
A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.
A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices
PLEASE I NEED HELP!! NO LINKS!!
Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?
Answer:
[tex]A=830\ ft^2[/tex]
Step-by-step explanation:
Given that,
The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.
We need to find the area of this section of the deck that is shaped like a trapezoid.
The area of a trapezium is given by :
[tex]A=\dfrac{a+b}{2}\times h[/tex]
a = 37 ft, b = 46 ft and h = 20 ft
Put all the values,
[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]
So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].
Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.
Answer:
18
Step-by-step explanation:
You would have 27 then add 7 subtract 10 and subtract 6 to get 18.