Given:
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
To find:
Whether it is possible that Line AB intersects line CD.
Solution:
We have,
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.
If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.
[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]
[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]
[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]
So, the lines AB and CD are not parallel to each other.
Therefore, the intersection of lines AB and CD is possible.
Write the sentence as an equation.
351 is 59 subtracted from m
Is means equal to.
59 subtracted from m would be m-59
Answer: 351 = m - 59
Name the property shown by the statement 2a = a2
Distributive property
screenshot if you need more words. seems to be a well illustrated and compact explanation right there
Find the scale factor where the pre-image is the small triangle and the image is the large triangle.
Answer:
D
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to pre image
scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D
What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP
Answer:
(-12,-6)
Step-by-step explanation:
A translation 5 units to the left (x-5)
And 4 units down ( y-4)
(-7-5, -2-4)
(-12,-6)
Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.
Answer: $420
Step-by-step explanation:
40% of 1st year commission
1st year commission is $1050
40% x 1050 = .40 x 1050 = 420
$420
Please answer this and simplify
Answer:
volume = x(x+2)(2x+1) = 2x^3+5x^2+2x
a = 2
b = 3
c = 5
d = 2
e = 2
f = 1
What is the midpoint of PQ?
Answer:
I think it is (2,0)
Step-by-step explanation:
Because in it 2 lies in the mid of x either y
HE:LPPP
5 divided by -3
Answer:
-5/3
Step-by-step explanation:
5 ➗ -3
=> 5/-3
=> -5/3 or -1.66667
5 divided by -3=1.666666666666667
A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that the marble selected is blue is:
Step-by-step explanation:
the probability will be amount of green marbles over total amount of marbles
if there are 2 green marbles, and 10 total the probability is 2/10, or 20%
Which greatest digit should replace m so that the number 10m6415 is divisible by 11
Answer:
Step-by-step explanation:
Sum of digits of rank even - sum of digits of rank odd must be a multiple of 11
(5+4+m+1)-(1+6+0)=11*k
10+m-7=11*k
3+m=11*k
m=8
Proof: 1086415/11=98765
Find the value of x. Round
the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
Which equation represents a line which is parallel to the line y=7/6x−6?
7y-6x= -14
6x + 7y = 56
7x + 6y = 18
7x - 6y = -48
Answer:
6x+7y=56
Step-by-step explanation:
In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1
Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].
But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].
PLEASE HELP ME ASAP!!
Answer:
(0.5, 0.5)
Step-by-step explanation:
Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The points are:
A(-2, 4)C(3, -3)[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]
Therefore, the midpoint between A and C is located at (0.5, 0.5).
It takes 5 minutes for 10 people to drink 25 pints of water. At this rate, how long would it take 15 people to drink 155 pints of water
Answer:
the time taken for the 15 people to drink 155 pints is 20.67 min.
Step-by-step explanation:
Given;
10 people took 5 mins to drink 25 pints of water
[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]
Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.
hello! HELP NEEEDED!!!!!!!!!!!
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]
[tex]2.5 x = 6.25[/tex]
[tex]x = 2.5[/tex]
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
Identify the slope and y-intercept: y = -x + 13 y help mee please
Answer:
slope : -1, y-intercept : 13
Step-by-step explanation:
-x = -1 times x
+13 = 13 = y-intercept
Answer:
This equation is in slope intercept form, y=mx+b, where m is the slope and b is the y intercept.
So, the slope is -1 and the y intercept is 13.
Hope this helps!
which of the following is equal to the rational expression when X ≠ 2 or 1?
Answer:
[tex]\frac{x+5}{x-2}[/tex]
Step-by-step explanation:
a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?
hi
it a cube so it's height,length and width are the same.
if volume is 112 so one if this measure is : 112^(1÷3) =4,82
A rectangle has an area of 104 cm2 and a width
that measures 8 cm. Find the perimeter of the
rectangle.
Answer:
42 cm
Step-by-step explanation:
104/8 = 13
13 + 13 + 8 + 8 = 42 cm
Find tan 0 if sin 0 = 1/2
is in the second quadrant.
sin O = 1/2 = p/h
p=1, h = 2.
by pythagoras tgeorem,
b =
[tex] \sqrt{3} [/tex]
tan0= p/b
[tex]1 \div \sqrt{3} [/tex]
N tells about in a math question
Answer:
N means Natural Number in Maths
Step-by-step explanation:
N=natural,Z=integer,R=real number
Help anyone can help me do this question,I will mark brainlest.
Answer:
1) x=6, 2) x=13
Step-by-step explanation:
Find the area of the triangle with sides 40, 50, and 60.
a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units
HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM
What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11
Answer:
mateweew ans is 12
The mode is the value that appears most frequently in a data set.
and 12 repeats twice other once so anw is obv 12
Answer: 12
Step-by-step explanation:
The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1
Answer:
i think the answer is y = 3x + 4
Step-by-step explanation:
:)
Please help I’ll give brainliest if you explain.
Answer:
B
Step-by-step explanation:
there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4
A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio
the cost price of radio is Rs.4450.
Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.
A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.
Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?
y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723
Answer:
y = -26.059x + 722.63
Step-by-step explanation:
The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.
How to illustrate the equation?It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.
To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.
Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.
In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.
Learn more about equations on:
https://brainly.com/question/13763238
#SPJ2
Correct answer gets 5 stars and brainliest
Answer:
12
Step-by-step explanation:
Since this is a right triangle ,we can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + 5^2 = 13^2
a^2 +25 = 169
Subtract 25 from each side
a^2 = 169-25
a^2 = 144
Taking the square root of each side
sqrt(a^2) =sqrt(144)
a = 12
