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3 years ago

Four angles of a pentagon have measures of 85°, 90°, 95°, and 110°. The smallest of all the exterior angles measures is

Mathematics

1 answer:

snow_tiger [21]3 years ago

5 0

Answer:

20°

Step-by-step explanation:

A pentagon's interior has a total of 540°. So, you must figure out the fifth angle.

Use the equation:

540°-85°-90°-95°-110°= fifth interior angle

You should get that the fifth interior angle equals 160°.

The <em>largest </em>interior angle will have the <em>smallest </em>exterior angle. In this case, it is the fifth interior angle, 160°.

An exterior angle added to its interior angle equals 180°.

So use the equation:

180°-160°=exterior angle.

You should get that the exterior angle is 20°.

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"Two purple sea slugs are mated with each other. Among their numerous offspring, 428 have a purple integument and 152 have orang

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Answer:55

Step-by-step explanation:

55x1=55

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3 years ago

PLS HELP

Westkost [7]

Answer:

B and D

Step-by-step explanation:

I don't have much of an explanation, but I remember from taking geometry that those two angles are the same measurement because they're congruent interior angles. hope this helps :)

5 0

3 years ago

30. What is the solution to the system of equations? (1 point)

sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

$-7x-2y+z=-2\hfill (1)$

$6x-y-z=-18\hfill (2)$

$5x+4y-z=18\hfill (3)$

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

$-7x-2y+z=-2$

$6x-y-z=-18$

_________________

$-x-3y=-20$

________________

$-x-3y=-20$

$-(x+3y)=-20$

$x+3y=20\hfill (4)$ (since "-" getting cancelled)

Now adding equations (1) and (3)

$-7x-2y+z=-2$

$5x+4y-z=18$

_________________

$-2x+2y=16$

________________

$-2x+2y=16$

$2(-x+y)=16$

$-x+y=8\hfill (5)$

Now adding equations (4) and (5)

$x+3y=20$

$-x+y=8$

_________________

$4y=28$

________________

$y=\frac{28}{4}$

Therefore y=7

Substituting y=7 in equation (4)

$x+3y=20$

$x+3(7)=20$

$x+21=20$

$x=20-21$

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

$-7x-2y+z=-2$

$-7(-1)-2(7)+z=-2$

$7-14+z=-2$

$z=-2+7$

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0

2 years ago

Do the phrases 6 less a number and 6 less than a number mean the same thing?

charle [14.2K]

6 less a number implies 6 decreased by a certain number
that would be 6-n where n is the number

6 less than a number implies a number decreased by 6
that would be n-6 where n is the number

so they probably don't mean the same thing

8 0

3 years ago

-1/6 x -3/5 the answer has to be a fraction

fiasKO [112]

8 0

2 years ago

Read 2 more answers