Question:
On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).
Given that
[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex]
Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Answer:
(1) perpendicular
(2) congruent
Step-by-step explanation:
Required
Fill in the gaps
[tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{1}{2}[/tex] implies that:
[tex]AB : DE= BC : EF[/tex]
In other words:
AB ~ DE ---- Side (S)
and
BC ~ EF ---- Side (S)
Now to fill in the gap with:
(1) perpendicular
(2) congruent
Further explanation
(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular
(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.
Answer:
Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are
✔ perpendicular
.
So, angles
✔ B and E
are right angles by definition of perpendicular lines.
All right angles are
✔ congruent
.
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Step-by-step explanation:
AB describes a line.
AB has a gradient of 3 and passes through the point (1, 15)
Find the equation of line AB,
Answer:
y = 3x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (1, 15) into the partial equation
15 = 3 + c ⇒ c = 15 - 3 = 12
y = 3x + 12 ← equation of line AB
Need help fast for 1 2 3 and 4 for please and thank you
The formula for the area of a circle is [tex]\pi r^2[/tex]
So if we have the first one...[tex]3.14*5^{2}[/tex]≈78.5
Now you can solve the other ones with this formula! Good luck!
Write a real-world problem that could be
represented by the equation 2x + 5 = 35.
Then solve the equation.
Answer:
2x+5=35.
2x+5-5=35-5
2x=30
2x/2=30/2
x=15
Combine the like terms to create an equivalent expression. \large{5t+10-4-t}5t+10−4−t5, t, plus, 10, minus, 4, minus, t
Answer:
2(2t+3)
Step-by-step explanation:
Given the expression;
5t + 10 - 4 - t
Combining the like tems;
5t - t + 10 - 4
= (5t-t) + (10-4)
= 4t + 6
Factor out 2
= 2(2t+3)
This gives the required expression
Answer:
4t+6
Step-by-step explanation:
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
Answer:
3
Step-by-step explanation:
[tex]\frac{3y+6}{2x} \\\\\frac{3(4)+6}{2(3)} \\\\\frac{12+6}{6} =\frac{18}{6} \\\\3[/tex]
The height of a square pyramid is 15 centimeters. The sides of its base measures 6 centimeters. What is the volume of the pyramid?
Answer:
180cm^3
Step-by-step explanation:
Given data
Height b=15 cm
Base a= 6cm
The expression for the volume of a pyramid is
V=a^2h/3
Substitute
V= 6^2*15/3
V= 36*5
V=180cm^3
Hence the volume is 180cm^3
A bag contains 8 red, 6 green, and 3 blue popsicles. John is going to draw out a popsicle without looking in the bag.
What is the probability that he will draw either a green or a blue popsicle?
Answer:
52.94117647 %
Step-by-step explanation:
there is 17
6 + 3 = 9
9/17 = .5294117647
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
Convert to pints: 10 quarts
20 pints
1 pints
100 pints
5 pints
Answer:
20
Step-by-step explanation:
20 pints because your convert 10 quarts into pints
Answer:
i think 100 pints
x²-x-2=(x-2)
its quadratic equation
please guys help meee
i dont know how to solve it
Answer:
x= (2,0)
hope it helps!!
PLEASE HELP! the 1st fraction is 1/5
Answer:
grtestdrugyiytfrx
Step-by-step explanation:
Answer:
all that I know is he eats alot of carbs
Step-by-step explanation:
sheesh, those calories are gonna add up quickly
what is
[tex]35 \sqrt{9} \div 7 \sqrt{3} [/tex]
Question 3 (1 point) A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Answer:
72
Step-by-step explanation:
Given that :
Triangle is right angled ;
Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?
From Pythagoras :
Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]
Let length of leg 2 = x
x = sqrt[(75 ² - 21²)]
x = sqrt(5625 - 441)
x = sqrt(5184)
x = 72
A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.
Someone pls help tysm if you do!! Im new to this :D
Answer:
the answer is -29
Step-by-step explanation:
Hope this helps have a good rest of your day :)
Answer:
I think its -15
Step-by-step explanation:
you take -7 and add it to -22 but since it's a negative + a negative it should equal a positive so you just normally subtract -7 from -22 and get -15
Daniel is baking a cake for Aaron's birthday. The recipe requires 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder. What is the total amount of ingredients in cups if Daniel makes the cake twice as large as the recipe calls for?
Answer
4 6/12 or 2 3/4 cups of total ingredients
Step-by-step explanation:
There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.
You'd want to make the denominators the same numbers so it would be easier to divide.
So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.
Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.
''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.
If I were to add that it would be 2 3/6.
BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".
What is 2 3/6 times 2 = 4 6/12 total.
If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct
A football team played 90 matches. They won 37 matches.
They drew 1/9 of their matches.
What fraction of their matches did they lose?
Answer: 44 matches
Step-by-step explanation:
Let's take the given information
They won 37 matches
1/9th of their matches resulted in a draw
1/9 out of 90 is 9
You can take 90/9 and you will get 9
Now let us add 37+9 and you get 47
Now take 90-47
44 Matches lost
22/45 or 44/90
(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME
Answer:
Its - 2..................
Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles everyday from now on. The total number of miles walked y can be represented by y=2.5x+5 where x is the number of days walkef
Answer:
The answer is below
Step-by-step explanation:
Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.
Solution:
The equation for a linear function is given by:
y = mx + b; where m is the slope of the function and b is the y intercept.
Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:
a) x intercept is the value of x when y = 0. Therefore:
0 = 2.5x + 5
2.5x = -5
x = -2
y intercept is the value of y when x = 0. Therefore:
y = 2.5(0) + 5
y = 5
b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.
The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answer:
false
true
true
false
.......
Which functions are symmetric about the y-axis? Check all of the boxes that apply. On a coordinate plane, a cosine curve has a maximum of 1 and minimum of negative 1. On a coordinate plane, a parabola opens to the right with a vertex at (0, 0) On a coordinate plane, a parabola opens up.
Answer:
1st box
3rd choice
Step-by-step explanation:
Those are the only choices that are symmetric about the y-axis
The 2nd choice isn't because it doesn't reflect over the y-axis
A graph is a way to represent a lot of data in a visual format. The functions that are symmetric about the y-axis are graphs 1 and graph 3.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The y-axis is the vertical axis of the graph, therefore, the functions that are symmetric about the y-axis are the graph of function 1 and the graph of function 3.
Hence, the functions that are symmetric about the y-axis are graphs 1 and graph 3.
Learn more about Graph:
https://brainly.com/question/14375099
#SPJ2
Evaluate the expression when m=12
Answer:
Where's the expression?
Step-by-step explanation:
Someone pls help im new tysm if you do!
Answer:
-24 is your answer<3.....
the parenthess are just multiplication, so 6*-4 is -24
help me please with my geometry
Answer: 47.86
Step-by-step explanation:
tan x =42/38
tan x= 1.105
x= 47.86
Elyssa bought a rectangular aquarium . The measurements , in feet (ft) , are shown below. How much water will it take to fill the aquarium?
Answer: The answer is 34 13/20.
Step-by-step explanation:
I did it and was correct for me! Hope it helps ❤️
Answer:
34 13/20
Step-by-step explanation:
Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?
Answer: 35%
Step-by-step explanation:
Given
Weight measured by Leo [tex]W_1=27\ pounds[/tex]
Weight measured by the clerk [tex]W_2=20\ pounds[/tex]
Percentage error is
[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
PLEASE HELP ASAP
What is the value of x in the figure?
About 71% of Earth’s surface is covered in water. If the surface area of the Earth is about 196,900,000 square miles, About what percent of the Earth’s surface is not covered in water? How many square miles is this?
Answer:
29 percent of the earth is not covered by water and 57,101,000 Square miles
Step-by-step explanation:
someone help me pls ♀️
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 7 anchors and 2 floats
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1
Answer:
22
50
Step-by-step explanation:
