The prove for QA/QR = QB/QS is shown below.
What is Similarity of Triangles?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
1) Given
2) <Q is congruent to <Q
by reflexive property of congruence
3) <QBA is congruent to <QSR
by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR
by AA theorem
5) QA/QR=QB/QS
by CPSP (corresponding parts of similar polygons are proportional)
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Identify the following as perfect squares, difference of squares, or trinomials.
five more than three times a number is 17
The number (x) in: "5 more than three times a number is 17" is what we are solving here.
In other words, you are looking for a number (x) that if you multiply it by three (same as three times) and then add 5, you get 17.
To solve this, you first write the problem as an algebra equation as follows: 3x + 5 = 17
Then you solve the equation by subtracting 5 from both sides, and then divide both sides by 3. Here is the math to illustrate better:
3x + 5 = 17
3x + 5 - 5 = 17 - 5
3x = 12
3x/3 = 12/3
x = 4
Answer = 4
Nancy purchased 5 CDs, each of which cost $7.90. Write and solve a division equation to find how much money Nancy spent.
Answer:
its 39.5
Step-by-step explanation:
what is the range of possible sizes for x?
Answer:
0.5 < x < 15.5
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
-2y+3=22 y-5=3 elimination method
Answer:
Not possible
Step-by-step explanation:
You cannot do an elimination method because there is no x
Write the equation of a line in slope-intercept form when the y-intercept is (0, -8) and the slope is -2/3.
Answer:
[tex]y = -\frac{2}{3}x - 8[/tex]
Step-by-step explanation:
Can you Please Help ASAP!
Suppose you invest $2000 at an annual interest of 5.5% compounded continuously.
a. How much will you have in the account in 10 years?
b. How long will it take for the account to reach $5000?
Answer:
[tex]2000 \times {1.055}^{10} = 3416.29[/tex]
[tex]5000 \div 2000 = 2.5[/tex]
[tex] log_{1.055}(2.5) = 17.11[/tex]
Simplify the expression
4 + 3(x + 2)
Answer: 3x+10
You welcome!
Can someone pleaseee help me solve this
There are 5 cats for every 4 dogs at the animal shelter. What is the ratio of dogs to cats?
Answer:
4:5
Step-by-step explanation:
Answer:
puedo cambiarme de entidad en el règimen subsidiado
Step-by-step explanation:
what is
[tex]2 \frac{1}{2} \div \frac{1}{3} [/tex]
need help ?
Answer:
16/5
Step-by-step explanation:
Answer:
The answer is 15/2 and the simplified answer is 7 1/2.
Step-by-step explanation:
To turn 2 1/2 into a normal fraction you need to multiply 2 and 2 ao it will be 2x2 and then you add the 1 which gets you 5.You keep the denominator and the fraction is now 5/2.Dividing fractions is the same as multiplying fractions so all you have to do is flip 1/3 and now it us 3/1 then you turn the division symbol into a multiplication symbol and multiply both numbers.5x3 = 15 and 2x1 = 2 so now you have 15/2 and if you wanted to simplyfy it you need to see how many times 2 can go into 15.2 can go into 15 7 times because 2 x 7 = 15 and if we multiply 2 x 8 it will be 16 which would be too much.We have 1 number left over since we were 1 number behind so we put 1 as our numerator and keep 2 as out denominator so now we have 7 1/2.
y=-3/7x(-1/7) whats the slope and y-intercept
Answer:
Step-by-step explanation:
Slope= -3/7
Y x intercept = -1/7
Answer:
the slope is -3/7
y int is -1/7
After a class party, Hugo had 3/5 of a bag of candy left
over. He decides to split it between himself and 3
friends. How much candy will each person get?
Answer:
Each person will get 3/20 of the bag of candies
Step-by-step explanation:
3/5 divided by 4 = 3/5 * 1/4 = 3/20
Please mark as brainliest if the answer is correct!
Also, feel free to tell me if my answer is wrong, or you have more questions. :D
1. At a specific time of day, a flagpole has a shadow 40 ft long, at the same time of day
Jose who is 6 ft tall has a shadow of 8ft long. Find the height of the flagpole to the
nearest tenth of a foot if needed.
Which of the following points are more than 5 vertical units away from the point (0,-2) ? Choose all that
apply.
(6,-2)
(-8,-2)
(0-8)
(0,4)
Name the shape that will result from connecting the following points: (-4,1), 44,-4), (0,3), and
(0,-6).
O square
O rectangle
O trapezoid
O quadrilateral
evaluate the trigonometric funtion of the angle theta
A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.
If north is taken as the positive direction, what is the velocity of the ship?
7 miles per hour , 7 miles per hour , ,
–3 miles per hour , –3 miles per hour , ,
3 miles per hour , 3 miles per hour , ,
–7 miles per hour
please help!!!
Answer:
3 miles per hour
Step-by-step explanation:
What is 3 little 2
Work out
if you want more ^^^^^^^
Answer:
1
Step-by-step explanation:
3-2
1
hope it's helpful ❤❤❤❤❤❤
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#
Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements. The slope of AC is . The slope of EG is . The polygons are not dilations of each other because .
Answer: the slope of AC is 4
the slope of EG is 2
the polygons are not dilations of eachother because the corresponding sides are not parallel
Answer:
D, D, C
Step-by-step explanation:
which is greater 225% or 3
Answer:
3 is greater
Step-by-step explanation:
225% as a decimal is 2.25 and you can see that 3 is greater than 2.25
Answer:
3
Step-by-step explanation:
225% = 2.25 = [tex]2\frac{1}{4}[/tex].
So, 3 is greater than 225%.
Solve for x. (round to the nearest WHOLE NUMBER)
x
12.
14
Simplify 5 - 4(x - 1) - 2(x + 1)
Answer:
-6x+7
Step-by-step explanation:
Start by multiplying (x-1) by -4 and (x+1) by -2.
Then you will have the equation 5-4x+4-2x-2
Next, just find your like-terms.
Your like-terms are 5,4,-2 and -4x, 2x
Then, for easier for calculation, just use the equation:
-4x-2x+5x+4-2
Your final answer should then be:
-6x+7
A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground feet from the base of the building. How high up the wall does the ladder reach?
Answer:
15 feet..
taking base as 8m
Given: ladder = 17 m and base = 8 m
The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.
Let’s say you did not know that this was a standard 8–15–17 right triangle.
This is how you can figure it out:
hypotenuse(h)22 = side2112 + side2222
Let side11 = base and side22 = wall
1722 = 822 + wall22
wall = 172−82−−−−−−−√172−82
wall = 289−64−−−−−−−√289−64
wall = 225−−−√225
wall = 15 feet
Height of wall is 15 feet
Given:
Length of ladder = 17 feet
Base distance from ladder = 8 feet (Missing information)
Find:
Height of wall
Computation:
Length of ladder = hypotenuse
Base distance from ladder = Base
Height of wall = Perpendicular
Using Pythagorean theorem
[tex]Perpendicular = \sqrt{Hypotenuse^2 - Base^2}[/tex]
By putting values
[tex]Perpendicular = \sqrt{17^2 - 8^2}[/tex]
[tex]Perpendicular = \sqrt{289 - 64} \\\\Perpendicular = \sqrt{225} \\\\Perpendicular = 15[/tex]
Height of wall = 15 feet
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akayla buys some tools at the local hardware store. Her total is $50 but she has a 15% off coupon. How much did she save with her coupon? Enter your answer to the nearest cent.
Answer:
$7.50
Step-by-step explanation:
$50 x .15 = $7.50
$7.50 estimated to nearest cent is $7.50
Select the equation in point-slope form for the line that passes through (3, - 5) and has a slope of 2.
Answer:
..Step-by-step explanation:
pls help has to be in a fraction ill give brainliest.
Answer:
-5/4
Step-by-step explanation:
slope = -4 - (-29) / -10 - 10
slope = 25 / -20
slope = -5/4
Solve for x.
-42 - 3 = -11
pls and thank you:)
Answer:
there is no any x
Step-by-step explanation:
but if you want to say -42x-3= -11
-42x-3+3= -11+3
-42x=8
-42x/-42=8/-42
x= -8/42
= -4/21
or if you want to say -42-3x= -11
-42+42-3x= -11+42
-3x= 31
-3x/-3=31/-3
x = -31/3
hope it's helpful ❤❤❤
THANK YOU❤
Answer:
The answer is -45 = -11
Step-by-step explanation:
Subtract 3 from − 42 .
Hoped this helped!
Brainly, Please?
Can somebody help??....
the reciprocal of 9/10
Answer:
10/9
Step-by-step explanation:
The reciprocal is just flipping the fraction