Answer:
Step-by-step explanation:
Parallel: -2/5
Perpendicular: 5/2
In triangle XYZ, XY¯¯¯¯¯¯¯¯=15, YZ¯¯¯¯¯¯¯=8, ∡X=(3w−35)°, and ∡Y=52°. In triangle RST, RS¯¯¯¯¯¯¯=15, RT¯¯¯¯¯¯¯=8, ∡R=(w+17)°, and ∡S=52°. Find the angle measure for each of the four angles whose measures are not known.
A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°
B. ∡R=64°, ∡T=64°, ∡X=64°, ∡Z=64°
C. ∡R=35°, ∡T=93°, ∡X=35°, ∡Z=93°
D. ∡R=52°, ∡T=76°, ∡X=52°, ∡Z=76°
Answer:
A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle XYZ, we can find XZ using cosine rule:
[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
∠X + 52 + 85 = 180
∠X + 137 = 180
∠X = 43°
∠X = 3w - 35
3w - 35 = 43
3w = 78
w = 26
In triangle RST, using sine rule:
∠R = w + 17
∠R = 26 + 17
∠R = 43°
∠R + ∠S + ∠T = 180° (sum of angles in a triangle)
43 + 52 + ∠T = 180
∠T + 95 = 180
∠T = 85°
Please help me solve this
Find a value of M that will give you a system of equations with exactly one solution.
Y=6x+1
Y=mx+1
Given:
System of equations is
[tex]y=6x+1[/tex]
[tex]y=mx+1[/tex]
To find:
A value of M that will give you a system of equations with exactly one solution.
Solution:
A system of equation has exactly one solution if the graph of the equation is neither parallel nor coincident.
Slope of parallel lines are same. But in the given equations if slopes are same then both the system of equations have two same equations which represent coincident lines.
For one solution, [tex]m\neq 6[/tex].
So, the value of m can be any real number except 6 because for m=6.
Thus, [tex]m=R-{6}[/tex].
1 is a real number which is not equal to 6.
Therefore, one possible value of m is 1.
13 POOINNTSSS PLEASE HELP ON 6-10 AND 13 TIMED TYSM IF U ANSWER
Answer:
The answer is 12.8.
Step-by-step explanation:
0.16 times 80 = 12.8
What is the slope of the graph?
Answer:
The slope of the graph is 10.
I want to know if 1/324 is equal to -324, and why.
Answer:
It’s not
Step-by-step explanation:
1/324 is betwen 1 and 0, -324 is 324 numbers below zero
Can i pls have help with is soooooooooo confused
500.
Solution: 210 is 42% of X
Equation: Y = P% * X
Solving our equation for X
X = Y/P%
X = 210/42%
Converting percent to decimal:
p = 42%/100 = 0.42
X = 210/0.42
X = 500
Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form
Answer:
y = 3x -2
Step-by-step explanation:
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
For the equation given;
y = 3x -5
the slope from here is 3
If two lines are parallel, they have equal slopes
This mean that the slope of the line we want to calculate too is 3
Now we can use the point slope format to get the correct equation
y-y1 = m(x-x1)
y+ 5. = 3(x+ 1)
y = 3x + 3 -5
y = 3x -2
At Target you can buy 45 oz. of Sprite for
$2.79, and at Walmart you can buy 65 oz.
of Sprite for $2.75. Compute which
option is the better buy and by how
much.
Answer:
walmart
Step-by-step explanation:
I need help with this!! A good explanation is HIGHLY appreciated! <3
Answer:
Step-by-step explanation:
1.3-y/0.2=1.8
-y/0.2=0.5
y=-0.1
Answer:
y = -0.1
Step-by-step explanation:
1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3
2. simplify -y/0.2 = 0.5
3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2
4. simplify -y = 0.1
5. divide both sides by -1 -y/-1 = 0.1/-1
and you’re done! c:
Write the equation of a vertical line running through the point (-2,-10)
a triangle has sides measuring 31 in 18in and 25 in what is the perimeter of the triangle
i need help can someone help me
Answer:
D) infinite real solutions
Step-by-step explanation:
-6(5x+10) = -3(10x+20)
-30x-60 = -30x-60
simplifying:
x=x
are 2x3 and 4x4 like or unlike terms
Answer:
They are like terms
Step-by-step explanation:
Answer:They are like terms!
Step-by-step explanation:
5.02 Which equation does the graph below represents?
1. y = -1/2x
2. y = -2x
3. y = 1/2x
4. y = 2x
Answer:
2. y= -2x
Step-by-step explanation:
When the line is on an exact point like it is on (-4, 8), we can simplify it by going rise/run
Rise is the same as y (8), and your run is x (-4)
When you divide 8/-4, your answer will be -2
Therefore, the answer is y= -2x
What is the solution to the equation? 13 3/4+X= 7 1/ 4
Answer: x=-6 1/4
Step-by-step explanation:
Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?
A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers
Answer:
A. President Millard Fillmore
Find the value of x and the value of y.
A. x = 130, y = 50
B. x = 135, y = 45
C. x = 140, y = 40
D. x = 145, y = 35
Answer:
B. x = 135, y = 45Step-by-step explanation:
x° + y° = 180° {suplementary angles}
x° = 3y° {corresponding angles by parallel lines}
So:
3y° + y° = 180°
4y° = 180°
y° = 45°
y = 45
x° = 3×45° = 135°
x = 135
What’s the answer laaalalalalalaaaaaa
Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4
Step-by-step explanation:
select all relations that are functions from the choices below.
If x : 3 = 5 : 7 , then x = ………
Answer:
the answer is A which 2(1/7)
HELP!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3
(Write an equation to go with the problem) Miranda goes to the store to buy 3 apples and some rice. The total was 6.50. If the rice cost $5.00, what was the cost per Apple?
Answer:
14.15 is the answer..comment it if that subtraction or multiple division
Answer: 3x + 5 = 6.50 is the equation where x represents the cost per apple and the cost per apple is 50 cents.
Step-by-step explanation:
In this situation we will represent the cost per apple by the variable x.
If she bought 3 apples, then 3 has to be multiply by x to find the cost so we will have the expression 3x
The rice cost $5 and she spend a total of 6.50 so 3x has to be add to 5 and it has to equal 6.50.
3x + 5 = 6.50 You can now solve for x in the equation to find the cost per apple
3x + 5 = 6.50
-5 -5
3x = 1.5
x= 0.5
This means the cost of an apple is 50 cents.
Use complete sentences to describe why postulates are helpful.
The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?
The perimeter of the rectangle is 70cm.
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
What is the formula for the perimeter of square?Perimeter of the square is given by
P = 4a
where,
a is the side length of the square.
P is the perimeter of the square.
What is the formula for the perimeter for the rectangle?Perimeter of the rectangle is given by
P = 2( l + b)
Where,
l is the of the rectangle
b is the breadth of the the rectangle
According to the given question.
We have the perimeter of the square is 20cm.
⇒ 4a = 20
⇒ a = 5cm
⇒ Each side length of the square is 5cm
And a rectangle made of 10 squares.
⇒ length of the rectangle = 5×5 = 25cm
and the breadth of the rectangle = 2 × 5 = 10cm
Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm
Hence, the perimeter of the rectangle is 70cm.
Find out more information about perimeter of square and rectangle here:
https://brainly.com/question/17055034
#SPJ2
Andy played with Buzz 65% of the time. How many times did andy play with Buzz if her played with his toys 20 times?
Answer:
13
Step-by-step explanation:
yes.
Step-by-step explanation:
65/100×29
13
plz make me brainlest
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!!
False
True
cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
Answer:
Answer below
Step-by-step explanation:
I really hope it works
If ya dont mind can u help me .....thanks
Today 108 people visited a water park during the first hour that the park was open.
This number of people is 40% of the number of people who visited the water park
during the first hour yesterday.
How many people visited the water park during the first hour yesterday?
F 148
G 270
H 292
J 151
Divide the people who costed today by the percentage:
108/0.40 = 270
The answer is G. 270
50 points! Help fast it’s due soon
Answer:
A' = (-3, 2)Step-by-step explanation:
Reflection over y-axis results in:
(x, y) → (-x, y)Point A is (3, 2)
It's reflection is:
(3, 2) → (-3, 2)A' = (-3, 2)