HELP! SOMEONE!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
THANK YOU!
Answers
Answers:
DE = 24 inchesm∠E = 22°=================================================
Explanation:
The diagram is below.
Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.
The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.
This means we have this pairing:
A pairs with DB pairs with EC pairs with FBecause the triangles are congruent, we know that:
angle A = angle Dangle B = angle Eangle C = angle FSo if we could find out angle B, then we automatically will find out angle E as well.
Use the idea that for any triangle, the angles always add to 180
A+B+C = 180
34+B+124 = 180
B+158 = 180
B = 180-158
B = 22
Angle B is 22 degrees, and so is angle E.
----------------------
Everything in the previous section handled how to find angle E.
In this section, we'll find how long side DE is.
Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs
side AB pairs with side DEside BC pairs with side EFside AC pairs with side DFThe pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.
Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.
Related Questions
1) 6 hats cost $67.50
What's the cost per hat?
Answers
Answer:
11.25
Step-by-step explanation:
I divided 67.50 by 6 and it got me the answer 11.25
A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?
Answers
Kaio bought a meal in a town for $20. Sales tax was 6.5% and he left a 15% tip. What was the amount Kaio paid in sales tax?What was the amount Kaio left as a tip?
What was the total cost of the meal?
A.$4.30
B.$21.30
C.$23.00
D.$24.30
Answers
Explanation:
$20 • 6.5% = $1.30
$20 • 15% = $3.00
$20 + $3 + $1.30 = $24.30
How would I graph this?: 3x + 9y = −18
Answers
Answer:
take value of x as 0 so
9y=-18 y =-18/9
y=-2
(0,-2)
same take y equal 0
what is the gcf of 56 and 92
Answers
Answer:
im pretty sure its 4!
Step-by-step explanation:
56/4=14
92/4= 23
and i dont think there are any greater numbers that factor into both 56 and 92
hope this helps!
Answer:
4
Step-by-step explanation:
1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers
2) Draw a venn diagram
3) Any circled prime numbers that are the same go in the middle column.
4) Any remaining numbers go in the left or right circle.
5) GCF = multiply everything in middle column.
Hope this made sense! <3
[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
find x please
Answers
Answer:
x=21/2
Step-by-step explanation:
5(x+3)=6(12+x/2)
Distribute the 5.
5x+15=6(12+x/2)
Reduce the numbers with the greatest common factor 2.
5x+15=3(12+x)
Distribute the 3.
5x+15=36+3x
Move the variable to the left-hand side and change the sign.
5x+15-3x=36
Collect like terms.
2x=36-15
2x=21
Divide 2 on both sides
x=21/2
Hope this helps :)
Answer:
x = 10.5
Step-by-step explanation:
5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides
5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )
2x + 15 = 36 ( subtract 15 from both sides )
2x = 21 ( divide both sides by 2 )
x = 10.5
Which expressions simplify to 0? Check all that apply.
8g – 8g
(–2g) – 2g
5g + (–5g)
One-half g + one-half g
Negative two-thirds g + two-thirds g
Answers
The expressions that simplify to zero are:
8g – 8g
5g + (–5g)
Negative two-thirds g + two-thirds g
Let us consider each of the expressions to determine the ones that simplify to zero (0)
For 8g - 8g
This is a direct subtraction of terms of the same value. Therefore, 8g - 8g = 0
For (–2g) – 2g
This can be further simplified as -2g - 2g = -4g
Therefore, (–2g) – 2g does not simplify to zero
For One-half g + one-half g
This can be written mathematically as:
[tex]\frac{1}{2}g + \frac{1}{2}g = g[/tex]
Therefore, One-half g + one-half g does not simplify to zero
Negative two-thirds g + two-thirds g
[tex]-\frac{2}{3}g+ \frac{2}{3}g = 0[/tex]
Therefore, Negative two-thirds g + two-thirds g simplifies to zero
Learn more here: https://brainly.com/question/25702685
Answer:
A , C , E :)
Step-by-step explanation:
In the given figure ef is a straight line, find the value of x
Answers
The image is not clear.
What is the answer to this question?
Answers
Answer:
x = 1/5
Step-by-step explanation:
yeah-ya........ right?
Find the pair of integers that has a product of –12 and a sum of 1.
Answers
Answer:
X = -4, Y = 3
Step-by-step explanation:
x * y = -12
x + y = 1
X = 4, Y = -3
NO TIME TO EXPLAIN
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
2.) find the slope a y-intercept of y=(-7x)-10
Slope = ________
y-intercept = _________
Answers
Answer:
Step-by-step explanation:
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
I'm not sure what kind of response this question is seeking. I can only write:
1.) The graph of y = -7x - 10 is a linear equation that shows the ? slope and y-intercept to the equation
I don't think these are the answer sought, but it's the best I can think of at the moment.
2.) find the slope a y-intercept of y=(-7x)-10
The slope is -7 and the y-intercept is -10.
If you mix 0.02 litres of squash with 100 ml of water to make a drink, what is the total volume of drink that could be made with 1 litre of squash?
Give your answer in litres.
Answers
Ashley has 10 skirts in her closet.
2 skirts are blue
3 skirts are red
4 skirts are green
1 skirt is pink
Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —
Answers
Answer:
the highest choices are red and green
there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges
Answers
Hi there!
We can find the percentage by expressing the amount of oranges to total fruits as a fraction:
[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]
Plug in the given values:
[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]
Convert to a percentage by multiplying by 100:
0.4 × 100 = 40%.
[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]
easy one for you folks.
Answers
Answer:
2/5
Step-by-step explanation:
Six out of 15 are full.
[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]
Which of the following lines have a y intercept of (0,2)? Choose all that apply
a. 3x - 7y = -14 b. y - 4 = -1/4 (x+4) c. y + 5 = 3 (x+2) d. y = -7x + 2
Answers
Answer:
A and D
Step-by-step explanation:
a.
3x - 7y = -14
-7y = -3x -14
y = 3/7x + 2
b.
y - 4 = -1/4 (x + 4)
y - 4 = -1/4x -1
y = -1/4x + 3
c.
y + 5 = 3 (x + 2)
y + 5 = 3x + 6
y = 3x + 1
d.
y = -7x + 2
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the
point.
Answers
Answer:
(3,4)
Step-by-step explanation:
There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.
In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.
Hopefully that's helpful! :)
Use the following function rule to find f(0).
f(x) = 5^x− 4
f(0) =
Answers
So you just substitute 0 into the equation
f(0)= 5^0-4
=1-4
=-3
Hope I helped!
Answer:
-3
Step-by-step explanation:
Using the remainder and the factor theorem
5⁰-4
1-4
-3
help meeeee pleaseeeeeeeeeeeee
Answers
Answer:
a) 92 m
b) 74 cm
Step-by-step explanation:
a)
2(length) + 2(width) = perimeter
2(x) + 2(73) = 330 m
2x + 146 = 330
2x = 184
x = 92 m
b)
length * width = area
85 * x = 6290 cm²
85x = 6290
x = 74 cm
What is the solution?
Answers
Answer:
(4, 4)
Step-by-step explanation:
y = 7/4 x - 3 graph (0, -3) (2, .5), (4, 4) (8, 11). Draw the line
y = x graph (0,0) (2, 2), (4, 4) , ( -2, -2). Draw the line
The two lines intersect at point (4, 4)
One hundred 50 cents coins have a mass of 690 g what is the mass of one 50 cents coin
Answers
Answer:
25
Step-by-step explanation:
Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £
Answers
Answer:
£5.20
Step-by-step explanation:
The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.
change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20
Erin gets £5.20 in change.
The length of a cell phone is 1.4 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answers
Answer:
5.52
Step-by-step explanation:
1.68/1.4=1.2*4.6=5.52
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answers
Answer:
0.2,0.3,0.11,0.12
hope that helps
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
Since the numbers are decimals, you can add as many zeros to the end of the numbers to make it easier. In this problem, add a zero to the end of 0.2 and 0.3, making them 0.20 and 0.30. This should make it easier. When you list the decimals from least to greatest, you should get 0.11, 0.12, 0.2, 0.3
I hope this helps!
The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which
Answers
Answer:
Step-by-step explanation:
PLS HELP ASAP PLS I RLLY NEED HELP.
Answers
Answer:
THE ANWSER IS A
Step-by-step explanation:
YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE
find the area of the largest square that can be cut from a circle of radius 18
Answers
Answer:
approx 161.3 square units
Step-by-step explanation:
the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7
these four triangles would produce a square with sides of 12.7 units
so area would be 12.7² or approx 161.3 square units
A spoonful of ice cream contains 0.006 mg of iron. How much iron
would Mr. Lin consume if he ate 100 spoonfuls?
Answers
0.6 mg of iron
easy one - giving brainly if correct - show work.
teacher said it was wrong, anyone know the right answer? answer both!
Answers
Answer:
$9.68 per Hour, $11.72 per Hour.
Step-by-step explanation:
What you thought of..
10% of original pay wage = $0.80
Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + ti
1 Year = 12 Months
$8 + ($0.80 x 2) = $9.60
In 1 Year, Sofia's Pay Wage will be $9.60 per Hour
$8 + ($0.80 x 4) = $11.20
In 2 Years, Sofia's Pay Wage will be $11.20 per Hour
What I Thought Of..
Sofia's Pay Wage will be incremented by 10% every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + t(ei)
1 Year = 12 Months
($8 + {10% of Sofia's Pay Wage}) = $8.80
($8.80 + {10% of Sofia's Pay Wage}) = $9.68
In 1 Year, Sofia's Pay Wage will be $9.68 per Hour
($9.68 + {10% of Sofia's Pay Wage}) = $10.65
($10.65 + {10% of Sofia's Pay Wage}) = $11.72
In 2 Years, Sofia's Pay Wage will be $11.72 per Hour
Brainly? (I spent a while on this)
It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 70 tickets? plz hurry will mark brainlest
Answers
The initial cost is $12 to enter.
Each ticket is $.50
we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;
70 x .50 = 35
Therefor including the entry fee, it would cost $35 + $12
Which is $47
I hope this helps! :)