Answers
Answer:
x = 5
Step-by-step explanation:
the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x
all interior angles of a triangle = 180 degrees
180 = (7x+1) + (10x-9) + (198-19x)
180 = 7x+10X-19x+1-9+198
180 = -2x+190
-2x = -10
x = 5
Related Questions
HELP ILL MARK YOU BRAINLIST PLZ
Answers
Answer:
Step-by-step explanation:
Answer:
An = A + (n - 1) ×d
hope it helps
Which of the following shapes is concave?
OA)
OB)
OC)
OD)
Answers
Answer:
A is a concave polygon,....,.
Answer:
the answer will be A.
Step-by-step explanation:
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
Answers
Bottom one is 5 divided by 2
In the rectangle below,EI=4x+5 ,FI=6x+1 , and m
Answers
Answer:
what? I dont understand not one thing
The diagonal of a rhombus are 14cmand 10 cm find the area of
rhombus.
Answers
a right angled triangle has sides which are 2cm and 7cm shorter than its hypotenuse find the length of the hypoenuse
Answers
Answer:
The length of the hypotenuse side is (9 + 2·√7) cm
Step-by-step explanation:
The given parameters of the triangle are;
The type f triangle = Right triangle
The length of the sides 2 cm and 7 cm shorter than the hypotenuse
Let 'h' represent the length of the hypotenuse side of the triangle, in centimeters we have;
The length of one side of the right triangle = (h - 2) cm
The length of the other side of the right triangle = (h - 7) cm
By Pythagoras's theorem, we have;
h² = (h - 2)² + (h - 7)²
Using search function on the internet, we have;
h² = (h - 2)² + (h - 7)² = 2·h² - 18·h + 53
∴ h² = 2·h² - 18·h + 53
∴ 2·h² - 18·h + 53 = h²
h² - 18·h + 53 = 0
53 is a prime number, therefore, by the quadratic formula, we have;
h = (18 ± √((-18)² - 4×1×53))/(2 × 1)
h = 9 + 2·√7 cm ≈ 14.29 cm or h = 9 - 2·√7 ≈ 3.71
However, given that one of the side is 7 cm shorter than the hypotenuse, for all the sides to remain positive, we have h = 9 + 2·√7 cm ≈ 14.29 cm , because for h ≈ 3.71 cm, we have;
The length of the other side = (h - 7) cm ≈ (3.71 - 7) cm ≈ -3.29 cm which is not possible for a real triangle
Therefore, the length of the hypotenuse side, h = 9 + 2·√7 cm ≈ 14.29 cm.
prove it please
answer only if you know
Answers
Part (c)
We'll use this identity
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\[/tex]
to say
[tex]\sin(A+45) = \sin(A)\cos(45) + \cos(A)\sin(45)\\\\\sin(A+45) = \sin(A)\frac{\sqrt{2}}{2} + \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\[/tex]
Similarly,
[tex]\sin(A-45) = \sin(A + (-45))\\\\\sin(A-45) = \sin(A)\cos(-45) + \cos(A)\sin(-45)\\\\\sin(A-45) = \sin(A)\cos(45) - \cos(A)\sin(45)\\\\\sin(A-45) = \sin(A)\frac{\sqrt{2}}{2} - \cos(A)\frac{\sqrt{2}}{2}\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
-------------------------
The key takeaways here are that
[tex]\sin(A+45) = \frac{\sqrt{2}}{2}(\sin(A)+\cos(A))\\\\\sin(A-45) = \frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\[/tex]
Therefore,
[tex]2\sin(A+45)*\sin(A-45) = 2*\frac{\sqrt{2}}{2}(\sin(A)+\cos(A))*\frac{\sqrt{2}}{2}(\sin(A)-\cos(A))\\\\2\sin(A+45)*\sin(A-45) = 2*\left(\frac{\sqrt{2}}{2}\right)^2\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = 2*\frac{2}{4}\left(\sin^2(A)-\cos^2(A)\right)\\\\2\sin(A+45)*\sin(A-45) = \sin^2(A)-\cos^2(A)\\\\[/tex]
The identity is confirmed.
==========================================================
Part (d)
[tex]\sin(x+y) = \sin(x)\cos(y) + \cos(x)\sin(y)\\\\\sin(45+A) = \sin(45)\cos(A) + \cos(45)\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}\cos(A) + \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\[/tex]
Similarly,
[tex]\sin(45-A) = \sin(45 + (-A))\\\\\sin(45-A) = \sin(45)\cos(-A) + \cos(45)\sin(-A)\\\\\sin(45-A) = \sin(45)\cos(A) - \cos(45)\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}\cos(A) - \frac{\sqrt{2}}{2}\sin(A)\\\\\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\[/tex]
-----------------
We'll square each equation
[tex]\sin(45+A) = \frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\\\\\sin^2(45+A) = \left(\frac{\sqrt{2}}{2}(\cos(A)+\sin(A))\right)^2\\\\\sin^2(45+A) = \frac{1}{2}\left(\cos^2(A)+2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
and
[tex]\sin(45-A) = \frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\\\\\sin^2(45-A) = \left(\frac{\sqrt{2}}{2}(\cos(A)-\sin(A))\right)^2\\\\\sin^2(45-A) = \frac{1}{2}\left(\cos^2(A)-2\sin(A)\cos(A)+\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\frac{1}{2}*2\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
--------------------
Let's compare the results we got.
[tex]\sin^2(45+A) = \frac{1}{2}\cos^2(A)+\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\\sin^2(45-A) = \frac{1}{2}\cos^2(A)-\sin(A)\cos(A)+\frac{1}{2}\sin^2(A)\right)\\\\[/tex]
Now if we add the terms straight down, we end up with [tex]\sin^2(45+A)+\sin^2(45-A)[/tex] on the left side
As for the right side, the sin(A)cos(A) terms cancel out since they add to 0.
Also note how [tex]\frac{1}{2}\cos^2(A)+\frac{1}{2}\cos^2(A) = \cos^2(A)[/tex] and similarly for the sin^2 terms as well.
The right hand side becomes [tex]\cos^2(A)+\sin^2(A)[/tex] but that's always equal to 1 (pythagorean trig identity)
This confirms that [tex]\sin^2(45+A)+\sin^2(45-A) = 1[/tex] is an identity
I need help with Geometry
Answers
Answer:
Me too
Step-by-step explanation:
Answer: hello
your answer will be C
Step-by-step explanation:
Find the measure of the following:
m arcTR =
m arcTL =
m ∠L =
m ∠R =
m ∠RTV =
Answers
Answer:
you have to do that we don't know k sorry bro
B. Solve;
1. Find a number such that three times the sum of that number
and 5 is greater than 33.
2. The sum of two consecutive integers is less than 81. Find the
pair of integers with the greatest sum.
Answers
Let’s say your number is x.
3x+5>33
3x>28
x>28/3
2.
Let’s say the two consecutive integers are x and x-1
Since the two numbers are integers and two consecutive numbers (odd+even) can never add up to an even number (80 for example).
The highest possible sum of two consecutive integers that is less than 81 will add up to 79.
x+x-1=79
2x-1=79
2x=80
x=40
So the two consecutive numbers are 40 (x) and 39(x-1)
Hope this helps
PLZZZZZZZZ HELPPPP!!!!!!!!!!!!!!
Answers
Answer:
1 135
2 80
3 145
4 45
Step-by-step explanation:
Thats the answer
.
.
.
What is the length of the hypotenuse to the nearest hundredth place in the diagram below
Answers
Answer:
Hypotenuse (x) = 7.27
Step-by-step explanation:
cos57*=4cm/x
cos57*/cos57*=4/cos57*
x=4/cos57*
cos57*~.55
x=4/.55
x=7.27
The linear combination method is applied to a system of equations as shown.
4(.25x + .5y = 3.75) → x + 2y = 15
One-fourth(4x – 8y = 12) → x – 2y = 3
2x = 18
What is the solution of the system of equations?
Answers
Answer:
hi
Step-by-step explanation:
Option 4th is correct
The solution of the system of equations is, (9, 3)
Step-by-step explanation:
Given the system of equations:
⇒ .....[1]
⇒ .....[2]
Add equation [1] and [2] we have;
Divide both sides by 2 we have;
Substitute x = 9 in [1] we have;
Subtract 9 from both sides we have;
2y = 6
Divide both sides by 2, we have;
y = 3
Therefore, the solution of the system of equations is, (9, 3)
Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
2 + p
2p
p minus 2
StartFraction p Over 2 EndFraction
Please Help!
Answers
Answer:
2p should be the correct answer!
Answer:
2p is the answer
Step-by-step explanation:
I took the answer edg2021
What is 1,050/55 What is the answer.
Answers
Answer: 19.0909090909 or 19
If a + b = c, which of the following statements is true?
c – a = b
b – c = a
a – c = b
c + b = a
Answers
Answer:
c-a=b
Step-by-step explanation:
Factor completely x3 − 2x2 − 5x + 10.
(x − 2)(x2 − 5)
(x + 2)(x2 + 5)
(x − 2)(x2 + 5)
(x + 2)(x2 − 5)
Answers
Answer:
The answerr is the first one
Step-by-step explanation:
Answer:
ITs A. Got it right on my test
Step-by-step explanation:
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(7) = P(not 7) =
Answers
Answer:
[tex]1) \frac{1}{13} \\ 2) \frac{12}{13} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:simple probabilityPEMDAStips and formulas:there are 4 "7" cards in a decklet's solve:according to the question
P(7)=4/52P(7)=1/13according to the question
P(not 7)=1-[tex]\frac{1}{13}[/tex]P(not 7)=12/13Answer:
no of 7=4
total no of card =52
total not no.7=52-4=48
Step-by-step explanation:
probability of getting 7=4/52=1/13
probability of not getting 7=48/52=12/13
There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would
the second ratio of the proportion look like If the first proportion is as follows?
3 students
1 adult
O
Х
24 students
O
24 students
Х please just answer
o
3
o
Answers
Answer:
6
Step-by-step explanation:
Answer:
24students:X
Step-by-step explanation:
I didnt really understand but this is my best answer
3. What are the factors in the expression 4(5 + x)?
Answers
Answer:
Step-by-step explanation:
The factors are the parts that are being multiplied together.
4 and (5+x) are the two that are being multiplied and also the expression you get when you factor the distributed expression.
So the factors of 4(5+x) are:
4 and (5+x)
What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%
Answers
Answer:
$1.95
Step-by-step explanation:
Need help as fast as possible please
I will mark BRAINLIST only for correct answers babes :)
Thank you!
Answers
Answer:
What is ur book called
I will edit my answer after this
Answer:
1. you move a shape to somewhere else by a number of units
2. the position of the book changes
3. no you are just moving the shape
a) X -Y =10 y = 5
b) X = 20 , y = 6
c) X = 14, y = 4
Answers
Answer:
a) X - Y = 10
and,
X - 5 = 10
or, X = 10 + 5
or, X = 15
And i don't get the other two questions
Hope this helped
Hope this helped ALL THE BEST !!
What is the slope of the line represented by the equation y=-2/3-5x?
-5
-2/3
2/3
5
Answers
Answer:
-5
Step-by-step explanation:
y=-2/3-5x
Rewriting the equation in the form y = mx+b where m is the slope and b is the y intercept
y = -5x -2/3
The slope is -5 and the y intercept is -2/3
The Basketball team sets a goal of having at least a 7:2 Win Loss Ratio. If they play 36 games in a season, how many games must they win to achieve their goal?
Answers
Hope this helps
At Dwayne's Swimwear, 75% of the 92 swimsuit styles are bikinis. How many bikini styles are there?
Answers
Answer:
69 styles
Step-by-step explanation:
75%= 3/4
92/4= 23 (1/4)
23x3= 69
Givereasons
a) The image gives all the details of an object.
b) The shadow of a translucent material is not clear.
Answers
Answer:
a
Step-by-step explanation:
Plz help me I don’t het this a question !!!
Answers
Answer:
C=50.24
Step-by-step explanation:
Formula for circumference with radius: 2[tex]\pi[/tex]r
r= radius
C=circumference
Now subsitute the variables with the values given.
Formula: 2[tex]\pi[/tex]r -> 2(3.14)(8)
C=50.24
This means that each point where the two lines intersect is a
Answers
Answer: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.
I think this the answer♀️
the yearly income of a person is rs 90000.It is increased by 15%what is the income of person after one year
Answers
Answer:
13,500.00 yearly is the raise + 90000.00 original salary= 103500.00 a year
Rs 103500
Sorry hazy little bit