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tatyana61 [14]
3 years ago
11

The sum of the measures of two angles of a scalene triangle is calculated, and the result is the same as the measure of one of t

he external angles of a triangle. Which pair of angle measures was calculated?

Mathematics
2 answers:
ikadub [295]3 years ago
5 0
The complete question in the attached figure

we know that
The Exterior Angle Theorem establishes that t<span>he measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.
so

the answer is the option
</span><span>A. the remote interior angles</span>

Stella [2.4K]3 years ago
3 0

The Exterior Angle Theorem establishes that the measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.

so

the answer is the option

A. the remote interior angles

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I don’t really get this one.<br> Thx and have a great day!!
gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P=(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)=(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})

M(-3,12)=(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})

M(-3,12)=(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})

(-3)=\frac{(X2)-24}{5}

(-15)=X2-24

X2=9

(12)=\frac{(Y2)+56}{5}

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0
3 years ago
Find the remainder when f(x) = x^3 + 14x^2 − 7x − 10 is divided by x − 3.
Elanso [62]

Answer:

122

Step-by-step explanation:

(3)³ + 14(3²) - 7(3) - 10

122

Used remainder theorem

6 0
3 years ago
Why do you divide by 60 after calculating the area of the trapezoid (to calculate the distance)? I got 900 but I don’t know why
Free_Kalibri [48]

Answer:

Step-by-step explanation:

What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.

Here's why and it is the one bit of physics you have to know.

The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.

So ...

b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour

b2 = 26 minutes which is 26 min [ 1 hour/60 minutes] =  26/60 = 0.4333 hour

h = 40 km/hour

Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2

Area = 0.75 hour * 40 km/hr //2

Area = 15 km

6 0
3 years ago
An angle is bisected, forming two new angles. if the original angle had a measure of 62°, what is the measure of each new angle?
s344n2d4d5 [400]
Bisected means cut in half. half of 62 is ,31
4 0
3 years ago
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the t
Verdich [7]
This question was posted almost a week ago, and I am not sure if you still need the answer, but I'll explain it.


The total number of all of the shapes were placed in the bag are equal to 100. The number comes from adding 32+20+48=100.
This is our total number and will be the denominator.
There are a total of 32 cards which have a hexagon, this number will be our numerator.

So far we have 32/100 , but this is not simplest form.

Next to reduce the fraction, the GCF must be found.

32: 1, 2, 4, 8, 32
100: :
8 0
3 years ago
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