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2 years ago

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

Mathematics

1 answer:

bearhunter [10]2 years ago

8 0

Answer:

102 deg

Step-by-step explanation:

The sum of the interior angles of a n-gon

are equal to ( n-2)*180

for a pentagon ( 5-2)(180) = 540

88+118+132+100 + x = 540 x= 102 deg

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Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?

Whitepunk [10]

Given:

Point is T(-3,8).

To find:

The coordinates of T' after $R(y-axis)\circ R(x-axis)$ .

Solution:

We know that, $R(y-axis)\circ R(x-axis)$ means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

$(x,y)\to (x,-y)$

$T(-3,8)\to T_1(-3,-8)$

If a figure reflected across y-axis, then

$(x,y)\to (-x,y)$

$T_1(-3,-8)\to T'(-(-3),-8)$

$T_1(-3,-8)\to T'(3,-8)$

Therefore, the required point is T'(3,-8).

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3 years ago

Gerard has $30 to spend on lunches this month. Lunch costs him $1.50 each day. After Gerard buys lunch for 8 days, which stateme

Harrizon [31]

What i did is that i did $1.50 time 8 = $12.00 and then do $30.00-12.00=$18.00

6 0

3 years ago

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in a circle a 60 sector has an area of 25 pi square feet. what is the circumference? leave your answer in terms of pi and in sim

belka [17]

The area of the sector is given by the equation,
A = πr²(x / 360°)
where x is the number of degrees in the figure.
25π ft² = (πr²)(60/360)
The value of r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector.
C = 2πr(x/360)
Substituting,
C = 2π(12.45)(60/360)
C = 12.83 ft³

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3 years ago

Write the elements belonging to the set {x|x is a natural number less than 10

Feliz [49]

Answer:

The set A = { 1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

Step(i):-

Given that the set

{ x/x/ is a natural number less than 10 }

Natural numbers :

The natural numbers are

{ 1,2,3,4,5,6,7,8,9,10,.........}

The set A = { x/x/ is a natural number less than 10 }

The set A = { 1,2,3,4,5,6,7,8,9}

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3 years ago

5-2 ( 4a + 1 ) + 3a= 13 a. a= - 6/5 b. a=2 c. a= 2/3 d. a= -2

Oksi-84 [34.3K]

Answer:

a=2/3

Step-by-step explanation:

3(4a+1)+3a=13

12a+3+3a=13

15a+3=13

15a=10

a=2/3

8 0

3 years ago

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