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2 years ago

The exterior angles of a triangle are 3y0, 4y0 and 5y0.

Mathematics

2 answers:

satela [25.4K]2 years ago

5 0

Answer:

i) y = 30°

ii) 30°

Step-by-step explanation:

Total exterior angle = 360

3y° + 4y° + 5y° = 360

12y° = 360

y° = 30°

Interior angle = 180 - exterior angle

Interior angle will be the smallest when the exterior angle is the greatest, which is:

5y = 5(30) = 150°

Smallest interior angle = 180 - 150

= 30°

katovenus [111]2 years ago

3 0

Answer:

i. 30 degrees

ii. 30 degrees

Step-by-step explanation:

The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.

3y+4y+5y=360

y=30 degrees

The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!

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If a=3 and b=4 then ba=

yuradex [85]

Answer:

Step-by-step explanation:

"ba" means "b * a", where * is multiplication. So, we want to find the product of a and b.

We know a = 3 and b = 4, so we just plug these in: 3 * 4 = 12.

Thus, ba = 12.

Hope this helps!

5 0

2 years ago

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State the equation of the line that is perpendicular to 4x-3y=10 through the point (-2,4)

Lynna [10]

The equation of the line that is perpendicular to 4x - 3y = 10 through the point (-2,4) is $y-4=\frac{-3}{4}(x+2)$

Solution:

Given, line equation is 4x – 3y = 10

We have to find a line that is perpendicular to 4x – 3y = 10 and passing through (-2, 4)

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-\mathrm{x} \text { coefficient }}{\mathrm{y} \text { coefficient }}=\frac{-4}{-3}=\frac{4}{3}$

We know that, slope of a line $\times$ slope of perpendicular line = -1

$\begin{array}{l}{\text { Then, } \frac{4}{3} \times \text { slope of perpendicular line }=-1} \\\\ {\rightarrow \text { slope of perpendicular line }=-1 \times \frac{3}{4}=-\frac{3}{4}}\end{array}$

Now, slope of our required line = $\frac{-3}{4}$ and it passes through (-2, 4)

The point slope form is given as:

$\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }} \\\\ {\text { Here in our problem, } m=-\frac{3}{4}, \text { and }\left(x_{1}, y_{1}\right)=(-2,4)} \\\\ {\text { Then, line equation } \rightarrow y-4=-\frac{3}{4}(x-(-2))}\end{array}$

$y-4=\frac{-3}{4}(x+2)$

Hence the equation of line is found out

6 0

2 years ago

You find a deck of cards and know that the deck has too many clubs and spades in it. The deck has 59 cards.

Harrizon [31]

(13/59)(c/58)=117/1711

13c/3422=117/1711

13c=234

c=18

So there are 18 clubs instead of 13 meaning that there is an extra 5 clubs in the deck.

Since there were 59 cards, there was 7 extra cards in all. The 7 extra minus the 5 extra clubs leaves 2 extra spaces.

So there were two extra spades in the deck.

7 0

2 years ago

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Add bracket to make each statement correct . You may use more than one pair of bracket in each statement .

ElenaW [278]

Answer: (2+3) x (4+5) = 45

Step-by-step explanation:

(2+3) x (4 +5) = 45

5 x 9 = 45

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2 years ago

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