Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
so in first picture
1 is exterior angle of the triangle
it means that
1=2+3
so is evident that m 1 > m 2
in the second picture
1 is the exterior angle of the triangle
so
1=3+4
but 3=2 as alternate interior angles
definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
so is evident that m 1 > m 2
Answer:
see explanation
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(1)
∠ 1 is an exterior angle of the triangle, then
∠ 1 = ∠ 2 + ∠ 3
Thus ∠ 1 must be > ∠ 2
(2)
∠ 3 = ∠ 2 ( alternate angles )
∠ 1 is an exterior angle of the triangle, then
∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4
Thus ∠ 1 > ∠ 2
J has a loan of $42,350. This loan has a simple interest rate of 8% per year. What is the amount
of interest that will be charged on this loan at the end of two years?
Answer:
6776
Step-by-step explanation:
8℅ = 0.08
0.08 x 42350 = 3388
3388 x 2 = 6776
Brainlyst if u are right
Answer:
D. (2, 7)Step-by-step explanation:
The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.
What is the range of fx) = 3^x
A. All positive real numbers
B. All real numbers greater than 3
C. All real numbers
D. All real numbers greater than or equal to 3
Answer:
d brainest plz
Step-by-step explanation:
what would y=x +5 look at on a graph
What is -6x-4+(2x+-8
Answer:
-4x+4
Step-by-step explanation:
What is the decimal expansion of 3/11
Answer:
It is 300 + 10 + 1.
Step-by-step explanation:
Answer:
.27
Step-by-step explanation:
just divide 3/11
A cylinder has height 20cm.
The area of the circular cross section is 74cm.
Work out the volume of this cylinder
Answer:
volume= l*b*h
So, Volume=area*height
= 74*20
=1480cm³
What is two over four divided by one over two
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP MEE!
10 POINTS
Answer:
16,8,36 respectivly
Step-by-step explanation:
whats the answer giving brainliest:)(::::::::::::::::::::::::::::::::::;;;
Answer:
it is definately b
Step-by-step explanation:
i got u 100
Answer:
B. Yes, She did the problem correctly
Step-by-step explanation:
The diagram represents an 11 cm by 6 cm rectangle.
11 cm
6 cm
Calculate the perimeter of the rectangle.
You buy 80 of your favorite songs from a Web site that charges $0.99 for each song What is the cost of 80 songs?
Answer:
$79.20
Step-by-step explanation:
0.99 x 80 = 79.2
Hope this helps. (:
Please help!!! thank you!!! *will give brainliest*
Answer: Choice C
[tex]y = x^2+2, \ x \ge 0[/tex]
=============================================
Work Shown:
[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]
Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]
The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)
So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]
which equation represents the line shown on the
Answer:
A
Step-by-step explanation:
y-int = -2
so the line should cross (0, -2)
Rise over run is 2/5 so go up 2, over 5 and put your dot etc...
A number is multiplied by 4, then 5 is added. The result is 21. Write an equation to represent this situation.
Answer:
4 x 4 + 5= 21
Step-by-step explanation:
Jeremy bakes two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan with nuts into 8 equal pieces. He cuts the pan without nuts into 16 equal pieces. His friends eat 2 brownies with nuts and 3 brownies without nuts. Did they eat more of the brownies with nuts or without nuts?
Answer:
The answer is "[tex]\frac{2}{8} > \frac{3}{16}[/tex] So, they eat more brownies with nuts".
Step-by-step explanation:
In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies [tex]\frac{2}{8} > \frac{3}{16}[/tex] eat more.
PLEASE LOOKS AT PHOTO it’s due tonight i’m struggling badly :(
Answer:
y = 6.32
Step-by-step explanation:
7^2-3^2= 40
hope it helped
MATH AGAIN HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!
In which pair of triangles is Triangle E F G is congruent to triangle R T S?
For triangles G E F and S R T, sides E G and S T are congruent, sides G F and S R are congruent, and sides E F and R T are congruent.
For triangles G F E and S T R, sides E G and T R are congruent, sides G F and T S are congruent, and sides E F and S R are congruent.
For triangles G F E and R S T, sides E G and R S are congruent, sides G F and R T are congruent, and sides E F and T S are congruent.
For triangles E G F and T S R, sides E G And S R are congruent, sides G F and S T are congruent, and sides E F and T R are congruent.
Answer:
Step-by-step explanation:Last pair of triangles represent congruence.
Step-by-step explanation:
If , it can be deducted the following:
Also,
Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.
Answer:
D
Step-by-step explanation:
I am doing the test
An angle pair that is on the exterior of two lines but on opposite sides of the transversal.
Zion Williamson is hoping to be the most dominating freshman that Duke has ever seen on the basketball court. In the first 3 games of the season he has scored 28, 27, and 33 points. To be named one of the best, he has to average at least 36 points a game through 4 games. How many points, p, does he have to score in the 4th game to be named one of the best?
A. ≥ 88
B. ≥ 36
C.
D. > 88
Solve:
please help me
Answer:
greater or equal to 56
Step-by-step explanation:
To have an average of 36 points through 4 games, Zion must score 36x4 (144) points. The first three games added together is 28 + 27 + 33 = 88. 144 - 88 = 56.
15:59:26
Which inequality has -12 in its solution set?
B
D
X+6<-8
H10
X+55-4
A
B
C
Answer:
D
Step-by-step explanation: I just took the quiz.
In an isosceles triangle, the measure of a base angle is (2x+5)° . At the vertex the measure of an exterior angle is (5x-3)°
There will be an extention at the vertex
Answer:51.14
Step-by-step explanation:since its an isosceles triangle all interior angles are gonna be equal the exterior angle plus interior angle is will be kept equal to 360
2x+5+5x-3=360
7x+2=360
7x=358
x=51.14
The measure of each angle is 31, 31 and vertex angle is 118.
What is Exterior angle Property?If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.
Given:
Base angle = (2x+ 5) and Vertex = (5x- 3)
So, We know that the exterior angle is equal to sum of opposite interior angle
5x- 3 = 2x+ 5 + 2x + 5
5x - 3= 4x + 10
x= 13
Thus, Each angle measure 2(13)+ 5 = 31 and
third angle = 180 - (5x- 3) = 180- 62 = 118
Hence, the measure of each angle is 31, 31 and vertex angle is 118.
Learn more about Exterior angle Property here:
https://brainly.com/question/19562895
#SPJ2
what is 457.894 to 2 deimal places
Answer:
228.947
Step-by-step explanation:
Answer:
457.894
Step-by-step explanation:
"What is 457.894 rounded to 2 decimal places?" is the same as asking, "What is 457.894 rounded to two decimal points?" or "How to round 457.894 to two decimal places."
The main point is that you want to round 457.894 to two digits or places after the decimal point. Thus, we want to eliminate the last digit in 457.894. To eliminate the last digit in 457.894, we use the following Two Decimal Places Rules to get the answer:
Two Decimal Places Rule #1: If the last digit in 457.894 is less than 5, then remove the last digit.
Two Decimal Places Rule #2: If the last digit in 457.894 is 5 or more and the second to the last digit in 457.894 is less than 9, then remove the last digit and add 1 to the second to the last digit.
Two Decimal Places Rule #3: If the last digit in 457.894 is 5 or more and the second to the last digit in 457.894 is 9, and the third to the last digit is less than 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the third to the last digit.
Two Decimal Places Rule #4: If the last digit in 457.894 is 5 or more and the second to the last digit is 9, and the third to the last digit is 9, then add 1 to the number on the left side of the decimal point and make the right side of the decimal point 00.
When rounding 457.894 to two decimal places we use Two Decimal Places Rule #1. Therefore, the answer to "What is 457.894 rounded to 2 decimal places?" is:
457.89writing equation line
Answer:
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^ ^
life Death
PLEASE HELP ME :(
What is the length of the midsegment AB?
31 31- I'm just dragging this out cause the thing wants me to type more
CAN SOMEONE PLEASE HELP ME ASAP ILL MARK BRAINLIST!!!!!
Answer:
a or b
Step-by-step explanation:
Answer:
B. 30
Step-by-step explanation:
3/4 = .75
120 * .75 = 90
Of those 90 students 1/3 wore sandals.
1/3 = approximately .33
90 * .33 = 29.7
Therefore, around 30 students wore jeans and sandals.
If Lauren reads for 30 minutes in 6 minutes in a 240 page novel,what is the constant of proportionally
Answer:
The Constant of Proportionality is 5 pages per minute.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
Lauren reads 5 pages per minute.
Step-by-step explanation:
Just divide 30 by 6 to get your answer
Can someone please help me graph this
Which of the following is equivalent to the complex number i^16?
Answer:
A
Step-by-step explanation
i = [tex]\sqrt{-1}[/tex]
i² = ([tex]\sqrt{-1}[/tex] )² = - 1
i³ = i² × i = - 1 × i = - i
[tex]i^{4}[/tex] = i² × i² = - 1 × - 1 = 1 , then
[tex]i^{16}[/tex]
= [tex](i^4)^{4}[/tex]
= [tex](1)^{4}[/tex]
= 1