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
plss help me with this:(((((
Answers
The answer for the first question is A
The answer the second question is D
Step-by-step explanation:
so, let's look at the options.
A. (x+3)/x = 3
that hurts already by just looking at it.
but let's check anyway :
x + 3 = 3x
3 = 2x
and that is only true for one value of x (3/2), but not in general.
so, this is wrong.
B. (x²+5)/5 = x² + 1
x² + 5 = 5x² + 5
x² = 5x²
that is only true for one value of x (0), but not in general.
so, this is wrong.
C. (2x+7)/(2x+9) = 7/9
9(2x+7) = 7(2x+9)
18x + 63 = 14x + 63
4x = 0
that is only true for one value of x (0), but not in general.
so, this is wrong.
D. (-5x - 10)/(x+2) = -5
-5x - 10 = -5(x + 2) = -5x - 10
now this is true in all cases, so this is correct.
make simple :
(a² - 4a + 4) / (a² - 4)
with a little bit of experience you see right away that
a² - 4a + 4 = (a - 2)²
as we know from the generic squaring
(a - b)² = a² - 2ab + b² : a perfect fit.
and
(a² - 4) = (a + 2)(a - 2)
as we know from the generic factor multiplying
(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.
so, the given expression is actually
(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))
and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :
(a - 2) / (a + 2)
and that is answer A
there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.
Answers
Answer:
0.55%
Step-by-step explanation:
230÷100=2.30%
175÷100=1.75%
2.30-1.75=0.55%
I think ♂️
Calculate the volume of a similar channel whose radius 1.5m. I need help in checking is A is correct and please send B with working if possible 3 first to answer gets ranked
Answers
Answer:
252.21m
Step-by-step explanation:
Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest
what type of graph is used to display categorical data?
Answers
Answer:
bar chart..
Step-by-step explanation:
Is the equations true.false.or open? x+3=5
Answers
Answer:
true
Step-by-step explanation:
i just plugged in 2 for x. 40% chance im right lol
Answer:
true
Step-by-step explanation:
One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.
Answers
Answer:
Step-by-step explanation:
probability of an event: number of events that satisfy the criteria/ total number of events
number of events that satisfy the criteria (in this case the number of families with three people)= 200
total number of events= 1000
200/1000= 20%
Pls help me on this
Answers
Answer:
I don't understand anything. if I was know of course I will help you
Write an equation of the line in slope intercept form (-2,4) (0,0)
Answers
Answer:
y = -2x
Step-by-step explanation:
Slope = (change in y-values)/(change in x-values)
Slope = (0 - 4)/(0 - (-2)
Slope = -4/2
Slope = -2
Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b
y = mx + b
0 = -2(0) +b
0 = b
The equation of the line y = -2x + 0 or y = - 2x
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.
Answers
Answer:
whats your equation?
Step-by-step explanation:
Ill edit my answer after.
Answer:
Step-by-step explanation: Sorry if im late
Answer this middle school math equation for 30 points lol
Answers
Answer:
n
Step-by-step explanation:
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
Multiply both sides by -5:
[tex]-\frac{1}{5} (x-4)=-2[/tex]:
[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]
[tex]1(x-4)=10[/tex]
[tex]x-4=10[/tex]
Add 4 to both sides:
[tex]x-4+4=10+4[/tex]
[tex]x=14[/tex]
Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:
Answers
Answer:
steps below
Step-by-step explanation:
x < -10
|1+2x| < 0 ∴ |1+2x| = -(1+2x)
|5 − 3x| > 0 ∴ |5 − 3x| = 5-3x
|−5x − 8 | > 0 ∴ |−5x − 8 | = -5x-8
|1 + 2x| + |5 − 3x| − |−5x − 8 |
= -(1+2x) + (5-3x) - (-5x-8)
= (-2x - 3x + 5x) + (-1 + 5 + 8)
= 12
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
I will give brainiest if you answer it and give a explanation.
Answers
Answer:
x = 35
Step-by-step explanation:
The angle marked 125° is angle DPE. The (vertical) angle formed from the rays opposite PD and PE is angle BPA. That angle is divided into two parts by ray PC. One of those parts is angle CPA, shown as 90°. The other part is angle CPB, shown as x°. This means ...
angle DPE = angle BPA . . . . vertical angles have the same measure
125° = 90° +x°
35 = x . . . . . . . . . . divide by °, subtract 90
7 2/9 + -5 1/5 =
show your work, show me how you got this answer
Answers
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
Find LCM of the denominators and find equivalent fraction.
Now, subtract
[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]
[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]
LCM of 9 and 5 = 45
[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]
[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]
[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]
The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches
Answers
Answer:
1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation
Please help! I don't understand A-E its urgent :(
No links!!!! (picture included)
A. Name an alternate interior angle to angle 3
B. Name a corresponding angle to angle 8
C. Name a vertical angle to angle 2
D. Name a same side-interior angle to angle 5
E. Name an alternate exterior angle to angle 7
Answers
Step-by-step explanation:
A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines
B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines
C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect
D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side
E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines
Which one is linear or nonlinear?
Answers
Answer:
broo I have to download it just take a screenshot.....
5.
Use the quadratic function to predict f(x) if x equals 2.
f(x) = −3x^2 + 180x − 285
A. f(2) = 111
B. f(2) = 63
C. f(2) = 87
D. f(2) = 125
Answers
Answer:
B. f(2) = 63
Step-by-step explanation:
f (x) = -3x2 + 180x - 285
For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63
given the binomial (x+a) and (b), how would you find the product?
Answers
Answer:
bx + ba
Step-by-step explanation:
Product is multiplication
[Given] (x+a) * (b)
[Reorder] b(x + a)
[Dsitribute] bx + ba
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Find the value of each variable.
I have been stuck on these for a week now. Please help.
Answers
Answer:
Step-by-step explanation:
the varible would be x
you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator
Answers
Answer:
3, 6, 7, 9
Step-by-step explanation:
We can take a look at each value from 1 to 10
We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.
WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers
Answers
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
1/3(12-9y) distributive property
Answers
Answer:
4 - 3y
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]
= 4 - 3y
The simplification of 1/3(12-9y) using distributive property is 4 - 3y
What is distributive property?According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For example, 2( x +y ) can be simplified as 2 × x + 2 × y
= 2x + 2y. This is distributive property.
Similarly, ⅓( 12- 9y) can be simplified as
(1/3 × 12) - (1/3 × 9y)
= 4 - 3y
Therefore 1/3(12-9y) is equivalent to 4 - 3y
learn more about distributive property from
https://brainly.com/question/2807928
#SPJ3
a sequence is given by the rule 4n^2
work out the 3rd term in the sequence
Answers
Answer: See below.
Step-by-step explanation:
See attachment. It depends on what is considered the "third" term. If n=2 then the result is 16. If 3, the result is 36.
Simplify the expression. -8n - 2n
Answers
Answer:
-10n
Step-by-step explanation:
To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.
so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n
If it was -8n -2 you could not simplify it since the 2 is single and without the same letter
Same with -8n - 2p because it is not the same letter
The graph of a function is shown:
Answers
Answer: a) {-3, -1, 3, 4}
Step-by-step explanation:
f(x) is the output, and x is the input.
Hope it helps :) and let me know if you want me to elaborate.
10 students volunteer to help fold paper stars for a charity project. If an additional 5 students help out, they will be able to finish the job 3 days earlier. The number of days required to finish the job is inversely proportional to the number of students who help out. Find the additional number of students needed to help out in order to finish the job 4 days earlier.
Answers
Answer:
Above is the step-by-step solution.
in figure below, lines r and s are parallel. If the m<1=47° , find:
Answers
Answer:
<3 = 47 degrees
<4 = 133 degrees
<5 = 47 degrees
<6 = 133 degrees
<7 = 47 degrees
<8 = 133 degrees
Angles 1 = 3 = 5 = 7 (vertical angles
Step-by-step explanation:
Solve for j.
3j+1≥10
67 points
:D
Answers
3j+1≥10
Subtract 1 from both sides.
3j ≥ 9
Then divide both sides by 3.
j ≥ 3
Take the one to the other side by -1 on both sides
3j>=10-1
3j>=9
Divide both sides by 3
3/3j>=9/3
1j>=3
J>=3
HELPPPPPPPPPPP! I will give brainliest to person who answers
Chanelle selects a marble from the container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. based on this info, what is the probability of Chanelle choosing a red marble the first time she selects a marble? (1) 1/72 (2) 1/36 (3) 1/8 (4) 1/6
Answers
Answer:
4
Step-by-step explanation:
I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer
Answer:
1/6
Step-by-step explanation:
1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.