Answers
Answer:
C2- 65° C3- 84°
Step-by-step explanation:
for C2:
the 2 parallel lines and the one cutting fully through form a transversal.
One of the rules for this is that co-interior angles (the 2 on the same side of the intersecting line) add to 180°.
This means that the angle at the top left (still within the triangle) should be 50° (180-121).
The other angle within the triangle (not the x one) is vertically opposite (opposite or "diagonal") with the 65°.
Vertically opposite angles have the same value, meaning the second angle is 65°.
In a triangle, the 3 angles add to 180. In this case, 50+65+x=180, which can be simplified to 115+x=180. Subtracting 115 from both sides gives x=65°.
For C3-
Imagine a parallel line is going through the angle x, splitting it into 2 angles (let's call them a and b).
With a being the top half, you can use the 133° given to help you. Like before, vertically opposite angles are the same, so the value "diagonal" to 133° should also be 133°. Using the co-interior rule, a should be 180-133, which gives 47°.
For b, we can skip this first step entirely. Since 143 and b are co-interior, 180-143=b, therefore b=37°.
To use these, remember a+b=x, which by subbing in the values gives 47+37=x, simplified to x=84°.
** I suggest revising the types of transversal relationships (corresponding, alternate, vertically opposite and co-interior). It's difficult explaining this without diagrams, but if you need more clarification, I'm happy to help!
Related Questions
help me pls and solve for x
Answers
Answer:
See below.
Step-by-step explanation:
sin(71) = x/23
x = sin(71) * 23
x = 21.75
Answer:
21.75 (2 digit after decimal)
Step-by-step explanation:
Sin theta = perpendicular/hypotenuse
sin 71=x/23
23 sin 71=x
x=21.747
pls help
Factor out the GCF
16x - 48
Answers
Answer:
16
Step-by-step explanation:
the greatest common factor of 16 and 48 is 16
Factors for 16: 1, 2, 4, 8, and 16.
Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
the dimensions of a lawn shaped like a trapezoid are given in meters. what is the area of the lawn in square meters?6m, 3m, 5m, 14m
Answers
Answer:
the answer is 14m
Step-by-step explanation:
sorry Kung Hindi Tama aNg sagot.piro Sana makatolong
Please help me this should be easy for y'all thanks
Answers
Answer:
20
Step-by-step explanation:
Can someone help me answer these practice questions
Answers
Answer:
A. 3x +3
B. 10x + 4
C. 30x - 50
D. -12x - 21
Step-by-step explanation:
A. 3(x + 1)
1. Multiply 3 times x = 3x
2. Multiply 3 times 1 = 3
3. Put them together 3x + 3
4. Repeat process for other problems.
Let me know if you have any other questions :)
Solve for x.
Please help
Answers
Answer:
x =6
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
7x = x+36
Subtract x from each side
7x -x = x+36-x
6x = 36
Divide by 6
6x/6 = 36/6
x = 6
Imperial measurement systems please show all work in a neat manner thank you !
Answers
Answer:
1. Ethan
2. 2.5 tons
3. 72 in
4. 5.7 mi
Step-by-step explanation:
1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.
2. Divide pounds by 2000 to get tons
3. Multiply by 12
4. Divide by 5280 to turn feet into miles
What is the value of 9/10 divided by 1/5?
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]
[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]
[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]
[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{45}{10}}[/tex]
BOTH NUMBERS HAVE the GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]
[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]
[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{9}{2}}[/tex]
CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please Help!!
In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26
Answers
Answer:
The answer is D
Step-by-step explanation:
This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D
ANSWERRRR QUICKKKK PLEASEEEE
Answers
Answer: sqrt(2)/2 which is choice D
======================================================
Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
------------
Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
please answer quickly easy 15 points but please answer quick
Answers
Answer:
24.25 feet
Step-by-step explanation:
find the centre and radius for this circle , x^2+y^2=25
Answers
Answer:
centre = (0, 0 ), radius = 5
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5
PLEASE HELP!!
Find the area of the following triangle enter the exact answer as a decimal
Answers
Answer:
75.06239187
Step-by-step explanation:
1/2bh= Area of a Triangle
6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.
36+b^2=72.25
b^2=36.25
b=6.02
6.02+19= base
25.02
Now area
1/2bh
1/2 (25.02*6)
25.02*6= 150.1247
150.1247/2= 75.06239187 is Area
The above decimals before area are rounded.
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.493
$2.505
$2.509
$2.498
Answers
Answer:
$2.498
Step-by-step explanation:
Only answer if you’re sure of it. FAST!!
A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.
Answers
Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos mangos, luego vende la mitad del saldo más un mango. Finalmente vende los 24 restantes, el número de mangos inicial empieza con la cifra
Answers
Respuesta:
200 mangos
Explicación paso a paso:
Dado :
Sea el número inicial de mangos = x
Primera venta:
3 / 5x + 2
Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2
Segunda venta:
1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2
Cantidad restante:
2 / 5x - 2 - (2 / 15x - 2/3 +2)
2 / 5x - 2 - 2 / 15x + 2/3 - 2
0,2666666x - 3,3333
Tercera venta:
1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1
0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final
0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24
0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24
0,133333x - 2,666635 = 24
0.133333x = 24 + 2.666635
0,133333x = 26,666635
x = 26,666635 / 0,133333
x = 200.00026
x = 200 mangos
Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"
Answers
Answer:
y = x/2
Step-by-step explanation:
Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.
Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.
So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones" is
y = x/2
Find the measure of DF
Answers
Answer:
144 = arc DF
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
72 = 1/2 arc DF
Multiply by 2
2*72 = arc DF
144 = arc DF
Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide the line segment PQ in the ratio
Answers
Answer:
PQ' : Q'Q = 3 : 1
Step-by-step explanation:
As Given In Question
We Have A Triangle With Side PQ=8cm
PQ' = 3/4 * PQ
PQ' = 3/4 * 8
PQ' = 6 cm
& Q'Q = PQ - PQ'
= 8 - 6 = 2cm
so the line segment PQ is divided into PQ' : Q'Q = 3 : 1
Does this app actually work for ya'll????
Answers
Answer:
Yessssss!
Step-by-step explanation:
Answer:
yess!! look up your question before you ask it :))))
thx for the points too hehe
which of the following number are prime numbers 1,7,36,16,2,51,25
Answers
Answer: 2 and 7
Step-by-step explanation: prime number is a number that is divisible only by itself and 1
ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]
Answers
Answer:
y = 2
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = ([tex]\sqrt{2}[/tex] )² = 2
Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)
Answers
Answer:
y= 6x -8
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]
Gradient
[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]
= 6
y= 6x +c
To find the value of c, substitute the equation with a pair of coordinates.
When x= 1, y= -2,
-2= 6(1) +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the line is y= 6x -8.
What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..
Answers
Answer:
ratio is 1/2
Step-by-step explanation:
r=8/16 =1/2
Answer:
1/2
Step-by-step explanation:
16 * 1/2 = 8
8 * 1/2 = 4
4 * 1/2 = 2
Hope this helps!
the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get
Answers
Find the area of the shaded region for the given figure in terms of x.
X-1
X + 2
X-1
X + 2
Answers
Answer:
Area of the shaded region = (6x + 3)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the small rectangle
Area of the large rectangle = Length × Width
= (x + 2)(x + 2)
= (x + 2)²
= x² + 4x + 4
Area of the small rectangle = (x - 1)(x - 1)
= (x - 1)²
= x² - 2x + 1
Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)
= 6x + 3
Area of the shaded region = (6x + 3)
ILL GIVE BRAINLIEST!!
If P = (-1, 7), Find:
r180° (P)
Answers
7 x 180 = 1260
1260/2 = 630 is the answer
Answer:
630
Step-by-step explanation:
Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +
Answers
Answer:
C(m) = 2.50 + 2m
Step-by-step explanation:
The fixed charge = charge per entry = $2.50
Charge per mile = $2
Function which represents the cost of a ride of m miles ;
Cost for m miles, C(m)
C(m) = charge per entry + cost per mile * number of miles
Where, number of miles = m
C(m) = 2.50 + 2m
Answer:
C(m) =2 m + 2.5
Step-by-step explanation:
I DID IN ED
What is the square feet
A.60 square feet
B.54 square feet
C.42 square feet
D.104 square feet
Answers
Hope that helps
Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?
Answers
Answer:
40 gallons of gas
Step-by-step explanation:
