Answer:
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As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Line segment QR is parallel to line segment ST.
Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.
So, The included angle of two pairs of parallel lines will also be the same as
line segment QS is similar to line segment SU.
∴ ∠QRS is similar to ∠STU.
learn more about congruency here :
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What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?
Will give brainliest pls answer immediately!
Answer:
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]
Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1
B. x < -1 and x > 5
C. -5
D. X<-5 and x > 1
Given:
[tex]y=2x^2-8x-10[/tex]
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
[tex]y=2x^2-8x-10[/tex]
[tex]y=2(x^2-4x-5)[/tex]
[tex]y=2(x^2-5x+x-5)[/tex]
[tex]y=2(x(x-5)+1(x-5))[/tex]
[tex]y=2(x+1)(x-5)[/tex]
For zeroes, [tex]y=0[/tex]
[tex]2(x+1)(x-5)=0[/tex]
[tex]x=-1,x=5[/tex]
-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].
Interval Selected Value [tex]y=2(x+1)(x-5)[/tex] Sign
[tex](-\infty,-1)[/tex] -2 [tex]y=2(-2+1)(-2-5)=14[/tex] +
[tex](-1,5)[/tex] 0 [tex]y=2(0+1)(0-5)=-10[/tex] -
[tex](5,\infty)[/tex] 6 [tex]y=2(6+1)(6-5)=14[/tex] +
So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
What is X 2(x+5)=3x+1
Answer:
X = 9
Step-by-step explanation:
30 POINTS!!!!!!!!!!!!!!!!!!!! HELP PLZ
A scatter plot is shown below:
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
Answer:
kk
Step-by-step explanation:
(0, 13) and (10,11)
What is the measure of an interior angle of a regular 10-gon?
Answer:
Step-by-step explanation:
how many solutions does 4x8y=-8 x=-2y+1 have
Answer:
It has no solution
Step-by-step explanation:
I tried to figure it out but I got no solution
Work out the area of the trapezium ABDE.
Answer:
(half * base 1 * base 2)/height
base 1 is 6 and base 2 is 9
get the height from similarity
6/9 = 8/CE
therefore CE = 72/6
Answer:
30cm²
Step-by-step explanation:
AE/BD = CE/CD
9/6 = CE/8
CE = 9/6 x 8
CE = 12cm
DE = CE - CD
DE = 12 - 8 = 4 cm
½(6 + 9)4 = 30cm²
Find the slope of the line
Answer:
1/2 is the slope
Step-by-step explanation:
By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!
Determine whether a triangle with the given side lengths is a right triangle. Side lengths: 10, 11, 15 5, 12, 13 12, 15, 20 16, 30, 34
Answer:
Step-by-step explanation: Use the Pythagorean Theorem to check this.
Remember that the squares of the lengths of the two smaller sides should be equal to the square of the bigger side.
10,11,15 = NO
5,12,13 = YES
12,15,20 = NO
16,30,34= YES
Hope this helps.
In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm
Answer: c. 6.3
Step-by-step explanation:
3 fifths equals how many 20
Answer:
12
Step-by-step explanation:
20/5 = 4
4 x 3= 12
3/5 of 20 is 12.
This is because 3/5*20/1=60/5 which reduces to 12.
This is literally my hole grade and I need help this is what it looks like-
Answer:
Muhammed
Step-by-step explanation:
Please help I suck at this kind of math
I really only need help with number three but if you could do it ll that would be awesome
On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
1 Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points G and I on a coordinate plane. Use complete sentences to describe the strategy.
2 Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3 Use the distance formula and the coordinates of points G and I to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
I am sorry, I am only in middle school... I am learning about like the questions I have been asking
Step-by-step explanation:
I really hope you get the question answered and get it correct
To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?
Answer:
The answer is below
Step-by-step explanation:
a) The baseball player leaps into the air with an initial velocity of 14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.
The height (y) is given by the formula:
y(t) = ut - (1/2)gt² + initial heigth
u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:
y(t) = 14t - (1/2) * 32 *t² + 0
y(t) = 14t - 16t²
b) when the player is on the ground, the height = 0. hence:
0 = 14t - 16t²
16t² - 14t = 0
t(16t - 14) = 0
t = 0 or 16t - 14 = 0
t = 0 or 16t = 14
t =0 or t = 0.875
Hence t = 0.875 seconds
c) The domain is the set of possible values for the time. Hence:
Domain = (0, 0.875] = 0 < t ≤ 0.875
GreatestCommonFactor of 18 and 35
Answer:
1
Step-by-step explanation:
Hope this helps
PLEASE HELP: A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters.
What is the volume of the prism
Answer:
330
Step-by-step explanation:
Change 8 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes
Answer:
08:00
Step-by-step explanation:
Answer:
8:00
Step-by-step explanation:
12/midnight would be 00:00 so 8am would be 8:00. if it were 8pm it would be 20:00
If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?
Answer:73.72
Step-by-step explanation:
What is the quotient of 154,504 divided by 28
Answer:
5518
Step-by-step explanation:
what is 3/5 divide 1/3
Answer:
1 4/5
Step-by-step explanation:
a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade
Answer:
1/4
Step-by-step explanation:
the probability of selecting a spade: 14/52 = 1/4
which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
Write 25 x 10in standard form.
Answer:
Step-by-step explanation:
25 x 10=250
standard form is 2.5 x 10²
6) A right triangle its rotated about an axis that passes through its height as shown. Which type of object will be formed by its rotation? Describe in words or draw a picture
object will be formed by its rotation? Describe in words or draw a picture.
Answer:
a cone
Step-by-step explanation:
i got it right
Answer:
CONE
Step-by-step explanation:
Please Help ASAP!! ❤️
Answer:
Step-by-step explanation:
*a is 6:55
*b is 37
*c is 15:12
The number -√44 is between which 2 integers.
Answer:
- 5 and - 7
Step-by-step explanation:
-√44 = -6.63
The sum of three angle measures in a triangle is always 180°.
Answer:
YES IT IS RIGHT.......!
PLEASE ANSWER GIVING 30 POINTS
Answer:
this is only 15points but ok
Step-by-step explanation:
answer: D)
Answer:
The answer should be 15.
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex] as the product of square roots. [tex]\sqrt{5^{2} }[/tex] [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].
[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.
[tex]\sqrt[15]{5}[/tex]
Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please
Answer:
[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]
Step-by-step explanation:
In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.
The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].
We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.
[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation
[tex]y = \frac{1}{4}x + 5[/tex].
Hope this helped!
5x - 3 (x+3) = what to have infinitely many solutions
Answer: 1/4
Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are