Question 7: Find the value of x. The numbers below are in degrees.
140
S
50
20
Answers
Given:
A figure.
To find:
The value of x.
Solution:
Draw two parallel lines as shown in the below figure.
If a transversal line intersect two parallel lines, then alternate interior angles are same.
[tex]a=20[/tex] (Alternate interior angle)
[tex]d=b[/tex] (Alternate interior angle) ...(i)
The value of angle d is
[tex]d=50-a[/tex]
[tex]d=50-20[/tex]
[tex]d=30[/tex]
Using (i), we get
[tex]b=30[/tex]
If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.
[tex]c+140=180[/tex]
[tex]c=180-140[/tex]
[tex]c=40[/tex]
Now,
[tex]x=b+c[/tex]
[tex]x=30+40[/tex]
[tex]x=70[/tex]
Therefore, the value of x is 70.
Related Questions
Need help will give brainliest if you answer plz explain how I want to learn?
Answers
Answer:
16 degrees
Step-by-step explanation:
This is a right triangle with shorter leg 3 in and hypotenuse 11 in. The 3 in side is opposite the angle theta. Thus, by definition of the sine function,
sin theta = 3/11 = 0.273
Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees. This rounds up to 16 degrees.
can Someone help me I really don't understand
Answers
Lydia's teacher wants her class to take note of the gas prices around town and round them all to the nearest whole number. Lydia found these gas prices:
$3.51, $3.84, $3.41, and $3.79.
Which of these prices would round to $3.00?
Answers
What is the angle of the slope
Answers
Answer:
y=103°
Step-by-step explanation:
Supplementary angles:
[tex]y+77=180[/tex]
[tex]y=103[/tex]
5. Place the following numbers in order from least to greatest. √16, 6, √19, 5, √37
A. 5, 6, √16, √19, √37
B. √16, √19, 5, √37, 6
C. √16, 5, 6, √19, √37
D. √16, √19, 5, 6, √37
Answers
Have a good day
What point represents the x- intercept of the graph of the equation y = 3/5x +3/2?
Answers
Answer:
(-2.5,0)
Step-by-step explanation:
To find the x intercept you need to set y=0 then solve for x.
y=3/5x + 3/2
0=3/5x + 3/2
-3/2 = 3/5x
x = -2.5
you put in into point form. (-2.5,0)
museum has an aquarium in the shape of a right rectangular prism that is 22 meters long, 7 meters wide, and 4 meters high. What is the volume of the aquarium?
Answers
Answer:
790
Step-by-step explanation:
The volume equals: Height * Width * Length
Therefore, the volume = 22.9*7.5*4.6 = 790 cubic meters.
How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?
Answers
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
I need you to the rescue
Answers
Answer:
E. 360
Step-by-step explanation:
We have two boxes of 6in by 6in,
and 4 with 12in by 6in, so we just multiply to find the area and add them up
6 x 6 = 36 x 2 = 72
12 x 6 = 72 x 4 = 288,
add them up and we get 360.
(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥
Answer:
E
Step-by-step explanation:
6*6= 36
There are two of these squares so 72
12*6= 72
there are four of these rectangles so 288
soooo......288+72= 360
so E
Emergency help please
Answers
Answer:
x = 91
Step-by-step explanation:
y = 130
The supplementary angle with y is 50
z = 321
360 - 321 = 39
Interior angles:
50 and 39 and x
To find x:
x + 50 + 39 = 180
x + 89 = 180
x = 180 - 89
x = 91
Help me pls!!! I will give brainleiest
Answers
Answer:
D
Step-by-step explanation:
this is because it is closed circle so the underline for the inequality sign must be required and it points to everything less than 2 so the ineqaulity sign will go to 2 as it is bigger than x
My problem is posted below:
Answers
HELP PLZZZZZZ PLZZZZZZ I GIVE EXTRA POINTS
Plz do the last box’s for me
Answers
Answer:
I think its 0.2
Step-by-step explanntion
3 months late
The ratio of Sara and Laila age was 5:4. 2 years later their ratio is 6:5. What is their current ages?
Sara's age
Answers
Answer:
Sara is 10 and Laila is 8Step-by-step explanation:
Sara's age = sLaila's age = lThe ratios:
s/l = 5/4 ⇒ s = 5l/4(s + 2)/(l + 2) = 6/5 ⇒ 5(s + 2) = 6(l + 2) ⇒ 5s = 6l + 2Substitute s into the second equation and solve for l:
5(5l/4) = 6l + 225l = 24l + 8l = 8Fins s:
s = 5*8/4 = 1015% of 35 with explanation pls
Answers
Answer:
5.25
Step-by-step explanation:
15% of 35 = 35 times 15% = 35 × 0.15 = 5.25
The Front and Back sides are both triangles. Explain why he isnt going to divide the base x height by 2.
Answers
Answer:
is it to late now??
Step-by-step explanation:
Pleaseeeee helppppp will mark you as brainlist
Answers
Answer:
The length of the hypotenuse is 91.7
Step-by-step explanation:
To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39
Now we use pythagorean theorem, A squared + B squared = C squared.
83 squared = 6889
39 squared = 1521
Now add them up
6889 + 1521 = 8410
Now since it is C squared, we need to find the square root to get C.
The square root of 8410 = 91.7060521 or to round the tenth, 91.7
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The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection
Answers
X = 10
Y= 7
X + Y = 17
X - Y = 3
The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.
We need to find those two numbers.
Let x and y are the two numbers.
Sum of two numbers is 17
x+y=17..(1)
Difference of two numbers is 3
x-y=3..(2)
From equation 1,
x=17-y
Now substitute this in equation 2.
17-y-y=3
17-2y=3
17-3=2y
14=2y
Divide both sides by 2
y=7
Now add y value in equation 1
x+7=17
Subtract 7 from both sides
x=10
Hence, the two numbers are 7 and 10.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
solve this 2(3+8)-5(4+2)
Answers
Answer:
-8
Step-by-step explanation:
Distribute the 2 and 5 to each of the parenthesis:
2(3 + 8) ====> 6 + 16 or 22
-5(4 + 2) ====> -20 - 10 or -30
Combine:
22 - 30 = -8
A 7-pack of ice cream bars costs $3.36. What is the unit price?
Answers
Answer:
$0.48
Step-by-step explanation:
3.36/7=0.48
Show that
[tex] \frac{1}{1 + \frac{1}{ \sqrt{2} } } [/tex]
can be written as
[tex]2 - \sqrt{2} [/tex]
How do I solve this??
Answers
A pool holds 8400 litres of water. A builder fills up the pool with a 17 litre container. He pours in 379 containers of water. Is this enough to fill the pool?
Answers
Answer:
No, because 379 times 17 6443
Step-by-step explanation:
Add the polynomial expressions using the horizontal format.
(6x3 + 5x) + (4x3 + x2 - 2x + 9)
Answers
Answer:
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:
(2x + 5y) + (3x – 2y)
2x + 5y + 3x – 2y
2x + 3x + 5y – 2y
5x + 3y
These two terms are un-like (because they have different variables), so I cannot combine them. This means that I've gone as far as I can, so my hand-in answer is:
5x + 3y
Step-by-step explanation:
Your dogs water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. What fraction of the bowl did your dog drink? If you can please show work! Thanks!
Answers
Answer:
The dog drank 5/12 of the bowl
Step-by-step explanation:
Common denominator
3/4 = 9/12
1/3 = 4/12
9/12 - 4/12 = 5/12
Answer: Your dog drank 5/12 of the bowl.
Step-by-step explanation:
3/4 - 1/3 = 5/12
3/4 = 9/12
1/3 = 4/12
9/12 - 4/12 = 5/12
Therefore, your dog drinks 5/12 of the water in the bowl.
hope this helps :D
A 7-pack of movie tickets costs $41.84. What is the unit price, rounded to the nearest cent?
per ticket
Submit
Answers
Answer:
$5.98
Step-by-step explanation:
Unit price is the cost of a single ticket
41.84/7=5.98
Answer:
$5.99
Step-by-step explanation:
41.84/7= 5.98571429 = 5.99
Multiple choices
A. Triangle CFB is congruent to Triangle EDB by the SAS theorem.
B. Triangle CFB is similar to triangle EDB by the AA similarity
C. The measurement of angle CE is 46 degrees
D. The measurement of angle ED is 108 degrees
E. Central angle of circle A measured 72 degrees
Answers
Answer: B and C: Triangle CFB is similar to triangle EDB by the AA similarity; The measurement of angle CE is 46 degrees
Step-by-step explanation:
I found out the answer after getting it wrong in Math Nation section 10
Answer:
B. Triangle CFB is similar to triangle EDB by the AA similarity
C. The measurement of angle CE is 46 degrees
Step-by-step explanation:
I also took the test
In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.
Answers
Answer:
Yes
Step-by-step explanation:
Given
GH:
[tex]-6y - x = 2[/tex]
Required
Can EF be
[tex]4 = y - \frac{1}{6}x[/tex]
First, we determine the slope of GH
[tex]-6y - x = 2[/tex]
Solve for 6y
[tex]6y = -x - 2[/tex]
Solve for y
[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]
[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]
An equation has the form:
[tex]y =mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{1}{6}[/tex]
Next, determine the slope of EF
[tex]4 = y - \frac{1}{6}x[/tex]
Make y the subject
[tex]y = -\frac{1}{6}x + 4[/tex]
The slope is:
[tex]m = -\frac{1}{6}[/tex]
Compare the slopes of both lines.
[tex]m=m = -\frac{1}{6}[/tex]
Since they have the same slopes, then the equation of EF is possible
Find the volume V of the cone. Round your answer to the nearest tenth.
Answers
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 8 inches? (5 points) 6 inches 8 inches 12 inches 16 inches
Answers
Answer:
6
Step-by-step explanation:
Answer:
The correct answer is 6.
Step-by-step explanation:
I took the test and got it right
Rewrite in simplest terms: 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g)
Answers
Answer:
6g-90h+6320gh-720h²-4480g²
Answer:
6g−86h
Hopefully this is correct :)