Answers
Answer:
Step-by-step explanation:
3x - 70 = x
2x = 70
x = 35
3(35) - 70
105 - 70 = 35
m<ABC = 35
answer is C
The value of the angle ∠ABC = 35°
What are Parallel Lines Cut by Transversal?
Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the angle be ∠ABC = ( 3x - 70 )°
Now , from the figure ,
The value of angle ∠A = x°
The value of x° is equal to ( 3x - 70 )° because they are corresponding angles
Now , from the theorem of angles cut by transversal , we get
The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size
Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other
So ,
Substituting the values in the equation , we get
x° is equal to ( 3x - 70 )°
x° = ( 3x - 70 )°
x = 3x - 70
Adding 70 on both sides of the equation , we get
3x = x + 70
Subtracting x on both sides of the equation , we get
2x = 70
Divide by 2 on both sides of the equation , we get
x = 35°
So , the value of ∠ABC = ( 3x - 70 )°
∠ABC = ( 3x - 70 )°
∠ABC = ( 135 - 70 )°
∠ABC = 35°
Hence , The value of the angle ∠ABC = 35°
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Related Questions
6) A tree casts a shadow 60 feet long. At the same time, a nearby 8-foot post casts a 12- foot shadow. How tall is the tree?
Answers
Answer:
40 ft
Step-by-step explanation:
The tree's shadow is 60/12 = 5 times the length of the shadow of the post. So, we figure the tree is 5 times the height of the post:
5(8 ft) = 40 ft . . . height of tree
__
You may want to write a proportion:
tree height/tree shadow = post height/post shadow
t / 60 = 8 / 12
t = 60(8/12) = 40 . . . . multiply by 60
Given f(x) = x2 − 4x + 5, find . . . .
a. f(2) b. f(-6)
Answers
Answer:f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(2) = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = -4 + 5 = 1
f(-6)= (-6)^2 - 4(-6) + 5 = 36 + 24 + 5 = 60 + 5= 65
A file that is 242 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answers
Answer:
4.1 megabytes
Step-by-step explanation:
well we use the rule of three
242 megabytes ------- 100%
x megabytes -------- 17.1%
(x megabytes)(100%)=(242 megabytes)(17.1%)
[tex]x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1[/tex]
so there have been downloaded 4.1 megabytes
Which of the following is NOT a function help pls!
Answers
Step-by-step explanation:
In a function, the x factor will not repeat. I does not matter if the y repeats, but the x will not repeat in a true function. for example (2,4) (1,4) (5,9) is a function, but (2,4) (2,1) (5,9) is NOT a function
A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.
A. ⟨-10,18⟩; 412 yards
B. ⟨-10, 18⟩; 424 yards
C. ⟨-40, -6⟩; 809 yards
D. ⟨-40, -6⟩; 1,636 yards
Answers
Answer:
A. (-10,18); 412 yards
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
You are saving to buy a new phone you have $150 in your bank account and can save $55 each week assuming you don’t spend any money write an expression to represent the amount of money you will have in your bank account after W weeks
Answers
Answer:
150+55w
Step-by-step explanation:
150+55w
150 never changes
(55)(w), 55 changes depending on number of weeks
Answer:
The expression is: 150 + 55W
Step-by-step explanation:
amount already in your a/c = $150
Amount saved per week = $55
Number of weeks to save for is W
Amount saved in W weeks is $55W
Total amount saved in W weeks is $150 + $55W
Ignoring the symbols, the expression is 150+55W
x = 7 + 3y
5x + 6y = 14
Which ordered pair (x,y) is the solution to the system of equations above?
Answers
x = 7 + 3y
or, x - 3y - 7 = 0 ........ (i)
5x + 6y = 14
or, 5x + 6y - 14 = 0 .........(ii)
To Find:The value of x and y.
Solution:By dividing eq. ii by 2, we get
5/2x + 3y - 7 = 0 ........ (iii)
By adding eq. i and eq. iii, we get
15/2x = 0
or, x = 0 ........(iv)
By putting eq.(iv) in eq. (i), we get
0 - 3y - 7 = 0
or, -3y = 7
or, y = -7/3
Answer: ( 0, -7/3 )The value of x and y is 0 and -7/3 respectively.
Certain clouds form when temperatures fall below −52°C. What is this temperature in degrees Fahrenheit?
Answers
Answer:
Step-by-step explanation:
-61.6 degrees Fahrenheit
Which function has a domain of x>-5?
Answers
Answer:
f(x)=x-5 is a linear function
Step-by-step explanation:
so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.
3526.48502 to 2 decimal places
Answers
Answer:
3526.48502
3526.49 as after 8 there is 5 and more than
Step-by-step explanation:
Answer:
3526.49
Step-by-step explanation:
You look at two 2dp after the decimal point. It is 8. You look to the number on the right which is 5 so you round up to 9.
Let f(x) = 27x5 − 33x4 − 21x3 and g(x) = 3x2. Find f of x over g of x
Answers
f(x) / g(x)
27x5 - 33x4 - 21x3 / 3x2
135 - 132 - 63 / 6
-60 / 6
Answer = -10
Evaluate the expression. Use y = 5 and z = 3
Yz² - 3
Answers
= 42 is the answer
Yz²-3
y = 5
Z = 3
5(3)² -3 =5 × 9 - 3 , we all remember bracket of multiplication , addition and subtraction( BODMAS)
so we'll solve the multiplication first, followed by substraction so 5×9 = 45
45 -3= 42
if 20 percent of item is 360,what is 85 percent of the item
Answers
Help please I can’t find the answer!
Answers
-5
A function is where each input is related to exactly one output. Because -5 was already previously listed as an x value in an ordered pair, it can not be used in a function. Another way of thinking of a function is if it passes the vertical line test where a vertical line can only pass through your line once. Let me know if this doesn't make sense!
Simplify Expression
16 - (1 - 5x) - 4x - 29
Answers
Answer:
-9x-14
Step-by-step explanation:
Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test in order to get an 85 average in the class?
Answers
Answer:
79
Step-by-step explanation:
the total of 90, 83, 78, 95= 346 which averages to 86.5
346+79=425
425/5= 85
find the value of n and w if w is between x and y.
wx = 6n -10, xy = 17, and wy = 3n
Answers
answer:
n=3
Step-by-step explanation:
6n-10+3n=17
6n+3n=27
9n=27
n=3
helpppppppp pleaseeeee
Answers
To find the relative frequency of something, take the frequency and divide by the total number of data values.
Total number of data values = 1170
Row one: relative frequency = 5 / 1170 = 0.0043
Row two: relative frequency = 17 / 1170 = 0.0145
Row three: relative frequency = 52 / 1170 = 0.0444
Row four: relative frequency = 118 / 1170 = 0.1009
Row five: relative frequency = 172 / 1170 = 0.1470
Row six: relative frequency = 232 / 1170 = 0.1983
Row seven: relative frequency = 219 / 1170 = 0.1872
Row eight: relative frequency = 172 / 1170 = 0.1470
Row nine: relative frequency = 95 / 1170 = 0.0812
Row ten: relative frequency = 57 / 1170 = 0.0487
Row eleven: relative frequency = 23 / 1170 = 0.0197
Row twelve: relative frequency = 8 / 1170 = 0.0068
Write a ratio that simplifies to 2:7
Answers
Answer:
4 : 14
Step-by-step explanation:
Step 1:
2 : 7 = 4 : 14
Answer:
4 : 14
Hope This Helps :)
3a +- 2b = 6b - 2a for a.
Answers
Answer: a=4b/5
Step-by-step explanation:
To solve for a, we want to use algebraic properties to isolate a.
3a+2b=6b-2a [add both sides by 2a]
5a+2b=6b [subtract both sides by 2b]
5a=4b [divide both sides by 5]
a=4b/5
Now, we have found that a=4b/5.
A family is going on a 603-mile car trip. So far they have driven 24% of the distance. Which is the best estimate for the number of miles they have driven so far?
Answers
Answer:
the best eatimated answer would be 150 miles.
24% of 603 = 144.72
so you can round it to 150
Answer:
24% of 603 is 144.72, so the best estimate would probably be 150 miles.
(-4, 6) and (3,-7) how do I solve this?
Answers
Answer: - 13/7
Mark me Brainliest
Mr. Smith is a lawyer who charges the same amount for each hour. He charges $576 for 8 hours of work. How much will he charge for 5 hours?
Answers
LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answers
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
Rewrite as a
simplified fraction.
_
0.1 = ?
Answers
Answer:
1/10
Step-by-step
Please help me out! I don't understand this
Answers
Answer:
D.
Step-by-step explanation:
Answer:
CD=EF. -(1)
EF=GH. -(2)
Adding (1) and (2)
[LHS(1)+LHS(2) = RHS(1)+RHS(2)]
CD+EF = EF+GH
EF on both sides cancel each other.
CD= GH
Option D is the answer.
Hope this will help :-)
what is the inverse function of -8x+14?
Answers
Answer:
14 x is the inverse of f(x)=14x f ( x ) = 14 x .
Step-by-step explanation:
If 2* = 32
find the value of x.
Answers
Answer:
2^x = 2*2*2*2*2
2^X = 2^5
x=5
Step-by-step explanation:
Use elimination to solve and match each system of equations to the correct solution . I’ll mark u brainliest
-3x+8y=73
X-7y=-46
Answers
Answer:
Step-by-step explanation:
Let's solve for x.
−3x+8y=73
Step 1: Add -8y to both sides.
−3x+8y+−8y=73+−8y
−3x=−8y+73
Step 2: Divide both sides by -3.
−3x
−3
=
−8y+73
−3
x=
8
3
y+
−73
3
Answer:
x=
8
3
y+
−73
3
x−7y=−46
Step 1: Add 7y to both sides.
x−7y+7y=−46+7y
x=7y−46
Answer:
x=7y−46
What value of a makes the equation true?
3(a + 1.5) = -1.5
Answers: 2, -2 ,-1 ,1 PLS HELPPO