Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answers
Answer:
A) ΔABC ≅ ΔEDC
Step-by-step explanation:
To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.
Let's see what we have in these two triangles.
Side AB is congruent to side ED. This is one pair of sides.
Angle A is congruent to angle E. This is one pair of sides.
Now we need a second pair of angles, that will make the two sides not-included in the angles.
By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.
We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.
Answer: A) ΔABC ≅ ΔEDC
Related Questions
The net of a solid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 4 inches. The base of the triangle is the side of the square. What is the surface area of the solid? WILL GET BRANLIEST! <3
Answers
Answer:
33 sq in
Step-by-step explanation:
Area of each triangular face is 1/2×3×4 = 6sq in
Hence total area of four(4) faces is 6×4 = 24sq in
Area of base is 3×3 = 9sq in
Hence Total area of pyramid is 24+9 = 33sq in
Please help me with this answer im not that good in math
Answers
Answer:
B. A = 96 cm2
Step-by-step explanation:
Determine the area of the rectangle.(Show all of your work)
Your answer
8 pd
Joe buys sneakers that normally cost $120.00. They are on sale for 30%
off. How much will one pair of sneakers cost, before tax?
Answers
1. What is the solution to the compound inequality 85 < 17m <136?
a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8
Answers
Answer:
The answer is b.
Step-by-step explanation:
First separate it into two inequalities.
85<17m and 17m<136
For the first one,
Divide both sides by 17.
5<m
For the second one,
Divide both sides by 17.
m<8.
Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.
Hope this helped.
Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
The solution to the compound inequality [tex]85 < 17m < 136[/tex].
Now,divide both sides by [tex]17[/tex].
[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]
Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)
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Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?
Answers
Answer:
6.25%
Step-by-step explanation:
Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.
Mathematically,
Percent error = (correct value - measured value)/correct value * 100%
_________________________________________________
in the problem given
measured value = 75 degrees Celsius
correct value = 80 degrees Celsius ( as given in reference book)
thus,
Percent error = (80 - 75)/80 * 100%
Percent error = (5/80 )* 100% = 6.25%
Percent error calculated by him is 6.25%.
We will see that the percent error in Joshua's measure is:
Pe = 6.25%
How to get the percent error in a measure?
The percent error for a measure is computed as:
[tex]P_E = (\frac{A - M}{A})*100 \%[/tex]
Where A is the accepted value and M is the measured value.
Here we have:
A = 80°C
M = 70°C
Replacing that we get:
[tex]P_E = (\frac{80 \°C - 75 \°C}{80 \°C})*100 \% = 6.25 \%[/tex]
So we can conclude that the percent error is 6.25%
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A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8
Answers
Answer:
equation of a line= y-y¹=m(x-x¹)
y--1.8=7(x-0)
y+1.8=7x-0
y+1.8=7x
y=7x+1.8
Select solutions that satisfy the inequality (picture)
Answers
I will give brainiest answer
Answers
Answer:
≈ 64.43 cm²
Step-by-step explanation:
Subtract the area of the circle from the area of the rectangle.
area of rectangle = 7 × 11 = 77 cm²
area of circle = πr² = π × 2² = 4π cm²
Thus
area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )
Answer:
The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.
Step-by-step explanation:
A baker needs between 40 lb and 50 lb of flour-sugar mixture that contains ten times as much flour as sugar. What are the possible
weights of flour the baker can use?
a. between 36.4 lb and 45.5 lb flour
38.9 lb and 39.7 lb flour
b. between 45.5 lb and 56.1 lb flour
d. 31.8 lb and 34.9 lb flour
C.
Answers
Answer:
A
Step-by-step explanation:
36.4 + 3.6 = 40
45.5+4.5 = 50
How many dimes are in $25.00
Answers
Answer:
250 dimes
Step-by-step explanation:
Explanation: dime = 10 cents, and 100 cents = one dollar. Therefore, 10 cents (a dime) times 10 = a dollar, which is 100 cents. 100 times 25 dollars = 250. So, 250 dimes are in $25.
Hope this helps, please mark as brainliest!
A sector has a central angle of 110° and an area of 11pi m squared. What is the arc length for this sector?
Answers
Answer:
(11/3)*pi
Step-by-step explanation:
what circle is how bigger?
360/110=36/11
11pi*(36/11)
36pi
radius is 6 (A=r^2*pi)(36 is 6^2)
circumference of a circle is 2pi*r
2pi*6
12pi
what fraction of the circumference is 110?
110/360=11/36
9132/36)*pi
(11/3)*pi
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6
Answers
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
What is the product?
(negative 3 s + 2 t)(4 s minus t)
negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared
Answers
Answer:
[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]
Step-by-step explanation:
[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]
Simplify:
(3x3+5x2−9x−2)−(2x3+3x2−x−3)?
A. x3+8x2−8x+1
B. x3+8x2−10x−5
C. x3+2x2−8x+1
D. x3+2x2−10x+1
Answers
Step-by-step explanation:
Answer is;−
9
x
−
2
−
2
x
3
−
3
x
2
+
x
+
3
Simplify by adding terms.
Tap for more steps...
x
3
+
2
x
2
−
8
x
+
1
How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answers
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.
This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
Given:
The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].
Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].
By the parent function we have to obtain given function ,So,we have to add on both sides 2,
f(x)+2 = [tex]\sqrt{x+2}[/tex]
Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.
Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
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is a CR grade good or bad?
Answers
Which set of angles could NOT form a triangle? A. three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles
Answers
Answer:
C. One right angle, one acute angle, one obtuse angle
Step-by-step explanation:
A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.
The distance between two parks on a city map is 1.8 inches. The actual distance between Parks is 2 miles. In the same city, the distance from the library to the post office 0.8 mile
Answers
Answer:
0.72 inch on the map.
Step-by-step explanation:
[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]
Attention!
I have tons of math questions waited to be answer on my page check them out and get points!
Answers
Answer:
ok
Step-by-step explanation:
ok
Answer:
I will try but how many are there?
Step-by-step explanation:
Which figure is represented by the net shown below?
Answers
Answer:
WAY BELOW...
Step-by-step explanation:
So first look at the base. It is an octagon.
Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.
That's the answer.
Answer:
Hey!
Your answer is BELOW!!!
Step-by-step explanation:
HOPE THIS HELPS!!
Draw rectangles such as the ones shown to find fraction equivalent to 2/5 and 1/3 that have the same denominator
Answers
Answer:
2/5: 1/3:
6/15 5/15
Step-by-step explanation:
Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!
Express the ratio of A's to N's in the word BANANA, in simplest form.
A. 2:3
B. 3:2
C. 1:2
D. 2:1
Is it B.?
Answers
Answer:
There are 3 A's and 2 N's so the answer is B.
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
Answers
Answer:
[tex]Range = [24, 375][/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3[/tex]
[tex]Domain = [2,5][/tex]
Required
Find the Range
The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5
When x = 2;
f(2) is as follows;
[tex]f(2) = 3*2^3[/tex]
[tex]f(2) = 3 * 8[/tex]
[tex]f(2) = 24[/tex]
When x = 5;
f(5) is as follows;
[tex]f(5) = 3*5^3[/tex]
[tex]f(5) = 3 * 125[/tex]
[tex]f(5) = 375[/tex]
Hence, the range of the function is [24, 375]
1. Which number is greater: 35% or 3.5?
Answers
Answer:
3.5
Step-by-step explanation:
35% is only 0.35
Answer:
3.5
Step-by-step explanation:
Which of the following is equivalent to 10000 lb?
Answers
Answer:
5 Tons
Step-by-step explanation:
Or 7,858.35 Pound sterling In Money Standards
Can someone help me with these 2 questions?
Answers
Step-by-step explanation
The first answer is 7.85m²
the second answer would be 25.71m²
Please answer this very simple attachment that will be below use the image below to help your answer!!!
Answers
WILL MARK BRAINLIEST!!!!!!!!! Please fill out the chart and tell which last name belongs to who and which place they came in!
Answers
Answer:
See bolded below
Step-by-step explanation:
Our first clue is that Baker is a girl, as this person was referred to as a she. Now she claims to have been placed higher if she didn't eat that blueberry pie, which means she is not first place. Our second clue is that Patrick ranked higher than Davis but lower than Natalie. Patrick and Davis are first and last names, which means they do not go together. And of course Davis is lower than Natalie. Coaster's father was proud of her daughter's ability to eat so much pie, so Coaster must be a girl's last name. There are only two girls, Analee and Natalie, so Coaster should be one of their names. This girl Coaster must have ranked first place. Analee ranked lower than Adam. If this is true, it should be that Natalie is associated with Coaster, considering she is the only girl that could have ranked first place! Lastly, Conner didn't rank last place;
[tex]Baker - she, Baker - Not 1st\\Patrick \neq Davis, Patrick > Davis, Patrick < Natalie,\\Natalie Coaster - 1st Place,\\Analee Baker[/tex]
Thus, we can conclude the following;
Natalie Coaster - 1st Place,
Patrick Adams - 2nd Place,
Analee Baker - 3rd Place,
Connor Davis - 4th Place
find the area of this figure
Answers
Answer: 49.12 ft²
Step-by-step explanation:
To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.
Area of Triangle
A=bh/2
A=6(8)/2
A=48/2
A= 24 ft²
Area of Semi Circle
A=πr²/2 (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)
A=π(4)²/2
A=(3.14)(16)/2
A=25.12 ft²
Total area
A=24+25.12=49.12 ft²
What is the surface area of the shaded front face of the composite solid?
A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters
QUESTION 6
Answers
Answer:
26
Step-by-step explanation:
the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.
By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.
How to find the shaded area?Remember that for a rectangle of length L and width W, the area is:
A = L*W
Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.
These are (reading from left to right).
Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:
A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²
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