ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?
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
The graph shows the distance Henry drives on a trip. What is Henry's speed?
A. 60 miles per hour
OB. 30 miles per hour
O C. 40 miles per hour
OD. 70 miles per hour
Answer:
60
Step-by-step explanation:
every 1 hour, he is going 60 miles
Activity 1.2 Determine the SOLUTION SET of this following exponential inequalities
I need the answer now. pls can anyone answer this? I will mark the brainliest answer.
Wrong and rude answers will be reported.
Answer:
1. [tex] x \ge -4 [/tex]
2. [tex] x < -2 [/tex]
Step-by-step explanation:
1. [tex] 10^{2x - 4} \le 1000^x [/tex]
Make both sides of the same base
[tex] 10^{2x - 4} \le (10^3)^x [/tex]
[tex] 10^{2x - 4} \le 10^{3x} [/tex]
Both bases will cancel each other
[tex] 2x - 4 \le 3x [/tex]
Subtract 2x from each side
[tex] - 4 \le 3x - 2x [/tex]
[tex] -4 \le x [/tex]
Rewrite
[tex] x \ge -4 [/tex]
2. [tex] (\frac{1}{5})^{3x + 10} > (\frac{1}{25}^{x + 4} [/tex]
Apply the inverse law of exponents
[tex] (5^{-1})^{3x + 10} > (25^{-1})^{x + 4} [/tex]
[tex] (5^{-1})^{3x + 10} > (5^{-2})^{x + 4} [/tex]
[tex] 5^{-3x - 10} > 5^{-2x - 8} [/tex]
Both bases will cancel each other
[tex] -3x - 10 > -2x - 8 [/tex]
Collect like terms
[tex] -3x + 2x > 10 - 8 [/tex]
[tex] -x > 2 [/tex]
Divide both sides by -1.
(Note: since we are dividing by a negative number, the inequality sign would change)
[tex] x < -2 [/tex]
PLEASE HELP me with this!! will mark brainliest.
Answer:
4 roots
Explain:
Odd degree polynmial
Solve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answer:
b=Ah
Step-by-step explanation:
multiply both sides by h
Proportional Relationships
Complete this table
1 | ?
4 | 12
6 | ?
14| ?
hi there! in my understanding, here are the answers...
Answer:
1 | 3
4 | 12
6 | 18
14 | 42
Step-by-step explanation:
12 ÷ 4 = 3
1 x 3 = 3
6 x 3 = 18
14 x 3 = 42
hope this helped! have a good one.
What is the y intercept of the graph and table? please explain well on how you got your answer:)
Answer:
4
Step-by-step explanation:
The first point is on 4 on the y-axis
hope this helps :3
if it did pls mark brainliest
Simplify this expression.
2(10) + 2(x – 4)
explain your steps. will give brainliest for right answers.
Answer:
12 + 2x OR 2x + 12
Step-by-step explanation:
2(10) + 2(x - 4)
Distribute;
20 + 2x - 8
Collect like terms;
12 + 2x OR 2x + 12
solve (x³)*(x⁶)? ((((((((((good luck)))))))))))
Answer:
x^9
Step-by-step explanation:
When we multiply exponents with the same base, we add the powers
a^b * a^c = a^(b+c)
x^3 * x^6 = x^(3+6) = x^9
Step-by-step explanation:
[tex](x {}^{3}).( {x}^{6} ) = (x {}^{3 + 6} ) = {x}^{9} [/tex]
What is the equation of the line?
Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0
Answer:
sin x, –1
Step-by-step explanation:
did on edge
help me I'll make brainiest
========================================
Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
QR = x RS = 4x ST = 5xFor some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
-----------
As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
if 324 is multiplide wit 11,what is the product?
Answer:
3,564
Step-by-step explanation:
324
11
×___. if you multiply this way it might help
Please just put what the position that it would have the most amount of potential energy and why Thanks!
what is the answer?
Answer:
x = 110° ; y = 49°
Step-by-step explanation:
m∠ABD = m∠ADB = 35° ⇒ x = 180° - 2 × 35° = 110°
m∠CDB = m∠CBD = 2y ⇒ y = (180° - 82°) ÷ 2 = 49°
HELP I NEED TO PASS OR ELSE I WILL GET A WHOOPING
Answer: XD You have Among Us
Step-by-step explanation:
$1972.00 is what I got
Mark me as brainliest, Among Us User
The sum of three numbers is 12 . The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 . The difference between 7 times the first number and the second number is 25. Find the three numbers.
Given:
The sum of three numbers is 12 .
The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 .
The difference between 7 times the first number and the second number is 25.
To find:
The three number.
Solution:
Let the three numbers are x, y and z respectively.
According to the question,
[tex]x+y+z=12[/tex] ...(i)
[tex]2x+3y+4z=37[/tex] ...(ii)
[tex]7x-y=25[/tex] ...(iii)
From (iii), we get
[tex]-y=25-7x[/tex]
[tex]y=-25+7x[/tex]
Put [tex]y=-25+7x[/tex] value in (i).
[tex]x+(-25+7x)+z=12[/tex]
[tex]8x-25+z=12[/tex]
[tex]8x+z=12+25[/tex]
[tex]8x+z=37[/tex] ...(iv)
Put [tex]y=-25+7x[/tex] value in (ii).
[tex]2x+3(-25+7x)+4z=37[/tex]
[tex]2x-75+21x+4z=37[/tex]
[tex]23x+4z=37+75[/tex]
[tex]23x+4z=112[/tex] ...(v)
Now, Multiply equation (iv) by 4 and subtract the result from (v).
[tex]23x+4z-4(8x+z)=112-4(37)[/tex]
[tex]23x+4z-32x-4z=112-148[/tex]
[tex]-9x=-36[/tex]
[tex]x=4[/tex]
Put x=4 in (iv).
[tex]8(4)+z=37[/tex]
[tex]32+z=37[/tex]
[tex]z=37-32[/tex]
[tex]z=5[/tex]
Put x=4 in [tex]y=-25+7x[/tex].
[tex]y=-25+7(4)[/tex]
[tex]y=-25+28[/tex]
[tex]y=3[/tex]
Therefore, the three numbers are 4, 3 and 5 respectively.
The fastest pizza box folder can assemble 7 pizzas in 25 seconds. At this rate, how long would it take to assemble 21 pizza boxes
Answer:
50 seconds in order to assemble 20 pizza boxes
Step-by-step explanation:
there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.
the second way takes longer but you write:
2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.
An architect builds a scale model of a track using a scale of 3 inches represents 40 feet. The length of the track is 20 feet. What is the length of the scale model in inches?
Answer:
Step-by-step explanation:
Their is no answer sorry
Please help 5 to the 11th power divided by 5 to the ? Power equals 5 to the 4th power
Answer:
78125
Step-By-Step Explanation:
Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?
Answer:
32 pounds of almonds
Step-by-step explanation:
Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.
The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =
1/4 + 5/8
Lowest common denominator is 8
1 × 2 + 5 × 1/8
2 + 5/8
= 7/8
If Monique uses 28 pounds of almonds
Let the total number of almonds = x
7/8 × x = 28
7x /8 = 28
Cross Multiply
7x = 8 × 28
x = 8 × 28/7
x = 32 pounds
Therefore, Monique initially had 32 pounds of almonds in her supply.
please I really need an answer to this.
Answer:
It should be 0.88
Let me know if I'm wrong!
Answer:
I believe as a rounded decimal it is 1.33
Does anyone know what to put? I need help
Answer:
P'(3, - 3 )
Step-by-step explanation:
Given
M(- 3, 4 ) → M'(- 1, - 1 )
To obtain the image 2 is added to the x- coordinate and 5 is subtracted from the y- coordinate, that is
Translation rule is
(x, y ) → (x + 2, y - 5 ), thus
P(1, 2 ) → P'(1 +2, 2 - 5 ) → P'(3, - 3 )
kate ran 4 miles how far did she run in kilometers
Answer:
6.4
Step-by-step explanation:
Answer:
6.5 kilometers
Step-by-step explanation:
9. a - 2a +5
pls help i’m kinda dumb
CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?
Answer:
34
Step-by-step explanation:
Ohio had 20
14 votes less than Texas (20 + 14)
34 electoral votes Texas had in 2004.
~~~Hope this helps~~~
Evaluate the expression when m = -2
Answer:
-22
Step-by-step explanation:
(Is that Aleks?)
Plug it in.
(-2)^2 + 9(-2) - 8
= 4 + (-18) - 8
= -14 - 8
= -22
Solve 15x +2=17
Please help me. It’s superrrr important
Answer:
15x +2=17 so the first thing you want to do is minus 2 then divide by 15 which gives you x=1
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
109 is 63% of what? Thx.
Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02