Answers
Answer:
b = 12
Step-by-step explanation:
hi! so this looks like a right triangle because it has a right angle which is 90 degrees! that means we can use the Pythagorean theorem to solve for the missing leg.
The Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]
a and b will be the two shorter legs, so it does not matter which of the two legs are which! in this problem, 5 and b (the missing leg) are the two shorter legs! c is always the hypotenuse, which is the sloped-looking line. in this problem, 13 is the hypotenuse! this line is the longest side on every right triangle!Let's solve for the missing leg now!
1) first, we need to plug in the missing numbers into the equation
[tex]5^{2} + b^{2} = 13^{2}[/tex]
2) next, let's simplify the problem
[tex]25 + b^{2} = 169[/tex]
3) now, let's isolate the variable, b
[tex]b^{2} = 144[/tex]
4) finally, we have to take the square root of b so it will be b not [tex]b^{2}[/tex]
b = 12
Let's plug in our answer to the equation to check if it is correct!
[tex]5^{2} + 12^{2} = 13^{2}[/tex]
25 + 144 = 169
169 = 169 hooray!
you do not have to do all of this work if you memorize the Pythagorean triples!
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) , (9, 40, 41)these are automatic matches! for example: [tex]3^{2} + 4^{2} = 5^{2} --> 9 + 16 = 25 --> 25 = 25[/tex]comment or message if you have any questions :)
Related Questions
Find the x-intercept of the following equation. Simplify your answer
x − 7y = –10
x-intercept =
Answers
The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.
since x − 7(0) = –10
⇒ x − 0 = –10
x = -10
This makes the x-intercept of x − 7y = –10 (-10, 0).the sum of two numbers is 21 the second number is six times the first one
Answers
Answer:
18+3
Step-by-step explanation:
3x6= 18
and 18+3=21
angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.
Answers
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
The measure of ∠M and ∠N are 26° and 64° respectively.
What is a supplementary angle ?Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.
According to the given question angle M and angle N are complementary.
∴ Sum of these two angles ∠M + ∠N = 90°.
Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.
Therefore, x + (x-38) = 90°.
2x = 90° + 38°
2x = 128°.
x = 64°.
∴ The measure of ∠M is (64 - 38 )° = 26°.
learn more about angles here :
https://brainly.com/question/7116550
#SPJ2
8.90 x 3.12 will give brainlist
Answers
27.768
Multiply 890 and 312
This equals 277680
We know that there were 4 numbers behind a decimal point
Therefore the last four numbers of 277680 need to be behind a decimal point as well
So you're answer is 27.7680 or 27.768
Help me on this please it’s due please help me
Answers
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] < [/tex]
2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)
Answers
Answer:
16x - 9
Step-by-step explanation:
2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis
= 6x² + 10x - 6x² + 6x - 9 ← collect like terms
= 16x - 9
Answer:
16X-9
Step-by-step explanation:
(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)
6x²+10x+6x²+6x +-9
combine like terms
6x² +10x +-6x² +6x+-9
(6x² +6x² )+(10x+6x)+(-9)
16x+-9
16x-9
Quadrilaterals A and B are similar. Find the values of the sides marked x and y : The diagram is not drawn to scale.
Answers
Answer:
Y=7.5cm
Step-by-step explanation:
Y=12.5cm-10cm=2.5cm
=5cm+2.5cm=7.5cm
find the slope of the line through the given points (1,1) (4,-1)
Answers
Answer:
hope it helps
.............
Consider the system of equations.
5x + 2y = 12
5x – 2y = 28
What is the solution to the system of equations? Show work using substitution or elimination to support your answer.
A (4, -4)
B (-4, 4)
C (5, -6.5)
D (4, 16)
Answers
Answer:
A. (4, -4)
Step-by-step explanation:
Equation form x = 4, y = −4
Answer:
Option A
Step-by-step explanation:
5x + 2 y = 12 -----------(I)
5x - 2y = 28 ------------(II)
Add equation (I) & (II). So, y will be eliminated and we will get the value of x
(I) 5x + 2y = 12
(II) 5x -2y = 28 {Now add}
10x = 40
x = 40/10
x = 4
Plugin x = 4 in equation (I)
5*4 + 2y = 12
20 + 2y = 12
2y = 12 - 20
2y = -8
y = -8/2
y = -4
Which of the following is the correct factorization of the polynomial below?
x - 18
A. (x+3)(x-6)
B. (x-3)(x + 6)
C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.
SUBMIT
Answers
Answer:
D. The polynomial is irreducible
Step-by-step explanation:
D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.
Proportions: If 7.5 cups sugar to make 14 dozen cookies, find K please
Answers
Answer:
8987678
Step-by-step explanation:
i need someone help please
Answers
Answer:
Step-by-step explanation:
a) vertex = (3, 18).
b) This tells us that the doorway is 8 units high.
c) Y intercept is at (0, 0).
d) x intercepts are (0, 0) and (6, 0).
e) The base is horizontal.
you and your friend went shopping. you bought 3 shirts and 4 sweaters for $69. your friend bought 6 shirts and 2 sweaters for $66 how much does one shirt and one sweater coat each
I need this answered quickly
Answers
Answer:
Shirt = $7
Sweatshirt = $12
Step-by-step explanation:
Let T represent shirts and S to represent sweatshirts
you bought 3T + 4S = 69
your friend bought 6T + 2S = 66 multiply second equation by -2
-2 x 6T + 2S = 66
-12T - 4S = -132 now find the sum of this and first equation
3T + 4S -12T - 4S = 69 - 132 add like terms
-9T = -63 divide both sides by -9
T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7
3T + 4S = 69
3*7 + 4S = 69
21 + 4S = 69 subtract 21 from both sides
4S = 48 divide both sides by 4
S = 12
Which one of the following would prove that two triangles are congruenta
Answers
Answer:
Corroponding side lengths are equal
Step-by-step explanation:
Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.
Hope this helps :)
The linear system is graphed. Is it an independent or dependent system?
-2x+3y=5
-4x+6y=10
GRAPH IN PICTURE:
A. neither
B. Dependent
C. Independent
Answers
A. Neither
Thanks me later
PLEASE HELP what is the term what is A in the sequence and what is the common ratio
for 3 9 27 54
Answers
Someobe pleaseeee help I need it
Answers
Answer:
its 35
Step-by-step explanation:
Eight people are competing in an art contest for 1st, 2nd, and 3rd place awards. How many
different combinations of awards are there?
Answers
Answer:
24 Combinations
Step-by-step explanation:
There are 8 people and there is a possibility that each can be either 1st, 2nd, 3rd. You would multiply 8 x 3 to get 24 or add 3 eight times
One fourth of a Number decreased by three is at least two.
Answers
Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
determine if the givem binomial x-c is a factor of the given polynomial p(x)
[tex]p(x) = {x}^{4} - {x}^{3} + {x}^{2} + x - 1: x - 2[/tex]
Answers
Simplify the expression (2x^2+6x-7)-(9x^2-11)
Answers
2x^2 + 6x - 7 - 9x^2 + 11
(2x^2 - 9x^2) + (6x) + (-7 + 11)
-7x^2 + 6x + 4
Hope this helps!! :)
Answer:
=- 7x^2+6x+4
Step-by-step explanation:
In the equation x + 10 = 22, what do you need to do to solve the problem ?
Answers
X= 22-10 = 12
It called Substract propertie
Answer:
In the given equation we need to find out the value of x to make this equation true.
First write the equationx+10 = 22Now place 10 to the other side[By placing 10 to the other side the symbol will change into -]x = 22-10Now subtract 10 from 22x = 12∴ 12 + 10 = 22There were 25 vocabulary words on the quiz. Megan got 60% correct. How many did she get correct?
Answers
Answer:
15
Step-by-step explanation:
25=100º
x=60
[tex]\frac{25}{x}=\frac{100}{60}[/tex]
[tex]\frac{x}{25}=\frac{60}{100}[/tex]
x=15
Graph y= -3x+4
NO FILES NOR LINKS!!!
Answers
Answer:
youre gonna put 4 on x axis and -3 on y
Step-by-step explanation:
If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?
Answers
Answer:
Step-by-step explanation:
∠8 = ∠6
∠8 = 7x - 36
∠8 +∠9 = 180 {Linear pair}
7x - 36 + 5x + 12 = 180
7x + 5x - 36 + 12 = 180
12x - 24 = 180
12x = 180 + 24
12x = 204
x = 204/12
x = 17
∠6 = 7x - 36 = 7*17 - 36 = 119 - 36 = 83
∠11 = ∠6 {Vertically opposite angles}
∠11 = 83
Please tell me the answer up to e no.
Answers
(I think you need a-e, if not let me know and I will edit accordingly)
a: Divide both sides by 4
cm -> 12:8
3:2
b: Convert and divide both sides by 3
cm -> 150:9
50:3
c: Convert and divide both sides by 20
cm -> 100:80
5:4
d: Convert and divide both sides by 4
months -> 4:12
1:3
e: Convert and divide both sides by 250
g -> 2000:250
8:1
Hope this helps, have a nice day :)
HELP ME PLEASE!
Haddad purchases a new surround sound system with a store credit card. If Haddad pays the
minimum monthly payment, he will have his balance paid off in 41 months. If he pays an
additional $15.00 each month, he will have his balance paid off in 27 months. What percent
of time will Haddad save by paying the extra $15.00 per month?
O 15%
O 34%
O 29%
O 66%
Answers
Hope this helps
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
Answers
Answer:
The slopes of both are m=6
Length of AB=6.082
Length of the image: 3.5 * 6.082 = 21.287
Answer:
Step-by-step explanation:
Can someone pls help me
Answers
__________
[tex] \: [/tex]
a² = c² - b²
a² = 9² - (√65)²
a² = 81 - 65
a² = 16
a = √16
a = 4
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]
[tex]\\ \sf\longmapsto P^2=81-65[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
Change 32/6 to a mixed number in lowest terms .
Answers
Answer:
5 1/3
Step-by-step explanation: