ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?
Answers
Answer:
AE = 26 units
Step-by-step explanation:
Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.
AE = 2(AC) = 2(CE) or
AE = AC + CE
Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.
BA is congruent to DE.
Since DE = 12 units, therefore, BA = 12 units.
BC = 5 units (given)
Using Pythagorean Theorem:
AC² = BA² + BC²
AC² = 12² + 5² (substitution)
AC² = 144 + 25 = 169
AC = √169
AC = 13 units
Since ∆ABC = ∆EDC, therefore:
AE = 2(AC)
AE = 2(13)
AE = 26 units
Related Questions
Hurry helpp I’m on a time limit!Which of the following is a true statement?
CM=CD
2(MB) = AB
1/2 (AM) = AB
Answers
Answer:
The true statement is 2(MB) = AB
Step-by-step explanation:
The given figure shows how to bisect a segment
∵ CD is the perpendicular bisector of AB
→ That means CD is perpendicular to AB and intersect it at its mid-point
∴ CD ⊥ AB
∵ CD intersects AB at point M
∴ Point M is the mid-point of AB
∵ M is the mid-point of AB
∴ AM = MB
→ That means each part is half AB
∴ AM = MB = [tex]\frac{1}{2}[/tex] AB
∵ MB = [tex]\frac{1}{2}[/tex] AB
→ Multiply both sides by 2
∴ 2(MB) = AB
∴ The true statement is 2(MB) = AB
HELP PLZ ILL GIVE U BRAINLY THINGY IF CORRECT
Answers
Answer:
1 and 8 are parallel
5 and 14 are not parallel
2 and 3 are paralell
Step-by-step explanation:
Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10
Answers
Answer:
[tex]g\leq \frac{11}{17}[/tex]
Step-by-step explanation:
[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]
The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality -5-3(5g-4) ≥ 2g+6-10
Solving for g,
-5-3(5g-4) ≥ 2g+6-10
-5-15g+12 ≥ 2g+6-10
-15g+7 ≥ 2g-4
7 ≥ 17g -4
11 ≥ 17g
11 / 17 ≥ g
g ≤ 11 / 17
Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17
Learn more about inequality, click;
https://brainly.com/question/30231190
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9) p(a) = a) – 3a; Find p(-2)
A) 18
B) 198
C) -110
D) -2
Answers
Have a great day!
describe how to find the sums -4 + 2 and -4 + (-2) on a number line
Answers
Answer:
For -4, the arrow from zero goes 4 points to the left. Add two more.
Step-by-step explanation:
Answer:
-4 + 2 = -2 and -4 + (-2) = -6
Step-by-step explanation:
-4 + 2 = -2
On the number line,start at zero
Do 4 jumps to the left (you are at -4)
Then do 2 jumps to the right You are at -2
-4 + (-2) = -6
On the number line,start at zero
Do 4 jumps to the left (you are at -4)
Then do 2 more jumps to the left You are at -6
Help plz:))) I’ll mark u brainliest
Answers
Answer:
x=8
Step-by-step explanation:
5x+14 = 6x+6
8=x or x=8
Give me a heart :))
Mike had $8.25 in his account. He deposited $2.25 on Tuesday. He then withdrew $5.75 for lunch on Wednesday. How much money does Mike have left in his account.
Show your work on how you got your answer
Answers
Answer:
$4.75
Step-by-step explanation:
(had) 8.25 + (deposited) 2.25 = (total) 10.50
10.50 - (withdrew) 5.75 = (total left) 4.75
Answer:
$4.75
Step-by-step explanation:
(Deposit: Add, put in/Withdraw: subtract, take out)
Add $8.25 + $2.25 and you get $10.50. Now subtract that number with $5.75, so $10.50 - $5.75 is a total of $4.75. Mike has $4.75 left in his account.
HeLPPPPp!!! The area of a square is numerically equal to three times its perimeter. Find the length of a side of the square.
Remember to only enter a number.
Answers
Answer:
12 Units
Step-by-step explanation:
Area of square = A^2
3 times its perimeter = 3(4A)
A^2= 12A
A=12
3.) 4+(15+26)=(4+15)+26
Answers
Answer:
90 Hope this helps! Please consider marking brainliest.Step-by-step explanation:
Use pemdas:
(15+26)=41
(4+15)=19
Rewrite the question: 4+41+19+26= 90
90What is the value of m in the equation 0.04m - 1.6 = -0.8
Answers
Answer:
m=20
Step-by-step explanation:
0.04m=0.8 (Isolate the variable by adding 1.6 to both sides)
m=20 (Divide by 0.04 on both sides)
is Amber your name? nklnlllnjlklklnklklklnklnklnklnklnklnlklkklnlknklnklnklnklnklnklnklnkl
Answers
Answer:
No, but my friend's name is amber
Step-by-step explanation:
prove that cotx + coty = sin(x+y)/sin x sin y
Answers
Answer:
change L.H.S in terms of sin and cos
Step-by-step explanation:
so we know cot x= cos x/sin x. so similarly we have cot y = cos y / sin y. since we have our cot in terms of cosine and sine, get a L.C.M and solve it further.
5) A rectangular box 25cm by 20cm by 15cm internally is made of wood
0.5cm thick. If the box has a lid, find the volume of the wood used in cm'.
Answers
Answer:
The volume of the wood used is [tex]1,116\ cm^3[/tex]
Step-by-step explanation:
The Volume of a Rectangular Cuboid
In a rectangular cuboid, all angles are right, and the opposite faces are equal.
The volume of a cuboid of dimensions a,b,c is:
V=a.b.c
The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.
The external volume of the box is:
[tex]V_e=(25)*(20)*(15)=7,500\ cm^3[/tex]
The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.
Thus the internal volume is:
[tex]V_i=(24)*(19)*(14)=6,384\ cm^3[/tex]
The volume of the wood used is the difference between the external and the internal volumes:
[tex]V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3[/tex]
The volume of the wood used is [tex]\mathbf{1,116\ cm^3}[/tex]
Plz help me again with this math stuff -_-
Answers
Answer:
152cm^2
Step-by-step explanation:
10
Theo earned £16490 last year and spent 8% of his money on making home improvements.
Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
f
(2)
Answers
Answer:
ithink 8470 the answer
Step-by-step explanation:
sana nakatulong
Multiply his earnings by 8%:
16490 x 0.08 = 1319.20
He spent £1,319.20
[tex] \frac{25 }{5 } + \frac{1}{5} [/tex]
Answers
25/5+1/5
=5+1/5
=26/5
Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)
Answers
Step 1: We need to find the slope (or m) FIRST using slope formula*.
[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]
m = 3
Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.
[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]
b = 2
Step 3: Now we put it all together we get our equation in slope-intercept form**.
[tex]y = 3x + 2[/tex]
**Slope-intercept form: [tex]y = mx + b[/tex]
*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
The graph of the equation = 3 − 4
y=3x-4 is shown. What statement is true about every point on the graph?
Answers
Answer:
16
um belo dia abençoado
Is this congruent by SSS, SAS, AAS, ASA? :0
Answers
Answer:
ASA
Step-by-step explanation:
2 congruent angles and 1 congruent side are given
hopefully this helps :)
Answer:
ASA
Step-by-step explanation:
hope this helps you :)
Use the information to answer the following question.
A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.
What is the domain of the function?
A.
0 ≤ y ≤ 45
B.
0 ≤ x ≤ 5
C.
0 ≤ y ≤ 5
D.
0 ≤ x ≤ 45
Answers
9514 1404 393
Answer:
B. 0 ≤ x ≤ 5
Step-by-step explanation:
The domain refers to the useful values of x. Since we're only concerned with time in the interval of 0 to 5 hours, the suitable domain is ...
0 ≤ x ≤ 5
What would you do in order to write 1/5x +
1/3y = 9 in standard form?
Answers
(sinA + cosA)/ (secA + cosecA) = sinA* cosA
Answers
Answer:
Proof below
Step-by-step explanation:
Trigonometric Identities
We'll prove that:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]
Recall:
[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]
[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]
Applying those definitions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]
Adding the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]
Dividing the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]
Simplifying:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]
Hence proved
Kim was elected class president. She received 3 voted for every 2 that Amy got. No one else ran. However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten. How many people voted?
Answers
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
Answers
-2/3d -1/4d= -22 for d
Please help I am dumb!!
Answers
Answer:
ok so the answer is d = 24
Step-by-step explanation:
happy to hellp!
it’s algebra can u helpppp lolsss
Answers
Just do the distributive property
I know it’s confusing at first but don’t worry! I’m sure you’ll do great!
Hope this helps!
Answer:
6z - 6
Step-by-step explanation:
When you expand you are removing brackets. This means you multiply the outer number by the ones inside thus:
2(3z-3)
2 times 3z is 6z .
2 times 3 is 6.
So the answer is 6z - 6.
HOPE THIS HELPED
In the school band, there is 1 boy for every 5 girls. There is a total of 12 boys. How many girls are in the band?
Answers
Answer:
60
Step-by-step explanation:
5 times 12
can someone pretty please help me? I will mark brainiest
Answers
Answer:
11 hours remains
Step-by-step explanation:
Answer:
11 hours remaining
Step-by-step explanation:
11 hours remaining
if any one answer this question i will give them brainliest
Calculate the correct solution to the equation -5x = -45
A:
x = -9
B:
x = 9
C:
x = 1/9
D:
x = -1/9
Answers
Answer:
x =9
Step-by-step explanation:
-5x = -45
Divide both sides by -5:
x = 9
Answer:
The answer is B X=9
Step-by-step explanation:
Divide each term in
Find h(-5) for the function h(x)= -5x+9.
h(-5) =
Answers
Answer:
h(-5) = 34
Step-by-step explanation:
h(x) = -5x + 9
h(-5) = -5(-5) + 9 = 25 + 9 = 34
