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2 years ago

What is the measure of 21? 100° 90° 80° 85° 95%

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

8 0

Answer:

A quadrilateral's interior angles have a sum of 360°.

Given that we have 85°, 100°, and 90°(the right angle), and an unknown angle.

We can add these angles plus the unknown angle to equal a total of 360°.

85 + 100 + 90 + x(our unknown missing angle) = 360

simplify

275 + x = 360

Isolate x by subtract 275 from both sides;

-275 -275

x = 85, ∠1 = 85°

We can also double check:-

85 + 100 + 90 + 85 = 360

360 = 360 which is correct.

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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

3 years ago

Read 2 more answers

Given the function f(x) = 3x, find the value of f−1(27). f−1(27) = 1 f−1(27) = 3 f−1(27) = 9 f−1(27) = 81

Mariulka [41]

Fun fact
if f(a)=b then f⁻¹(b)=a
so
if f⁻¹(b)=a then f(a)=b

so we find f(x)=27 and the solve for x

f(x)=3x=27
3x=27
divide both sides by 3
x=9

so if f(9)=27 then f⁻¹(27)=9
problem solved

answer is 9

7 0

3 years ago

In the isosceles trapezoid below, X = 5x+ 15° 7x-11°

tangare [24]

Answer:

x = 13°

Step-by-step explanation:

5x+15°=7x-11°

5x-7x = -11°-15°

-2x = -26° divide both sides by -2

x = 13°

5x+15° = 5×13°+15° = 80°

7x-11° = 7×13° -11°. = 80°

6 0

1 year ago

Explain the transitive property in words that a child could understand.

madreJ [45]

The transitive property is a chain rule for the variables a, b and c.

It states that if a is equal to b and b is equal to c then a is equal to c.

If a = b and b = c then a = c.

4 0

2 years ago

Fastest one to answer gets 11 points and marked as brainiest! answer ASAP

MAVERICK [17]

Answer:

0.24 its opposite value is - 0.24

1/4 its opposite value is -1/4

-5 its opposite value is 5

240 which is positive and its opposite value is -240

Step-by-step explanation:

hey

from the given statement we can see that question demand is about the opposite values. so

as our first value is 0.24 its opposite value is - 0.24

then move on next value is 1/4

its opposite value is -1/4

0 is a neutral value it neither positive or negative

move on to the next value which is -5 who is already negative

so we take a positive value that is 5

again move to 240 which is positive and its opposite value is -240

Hope it will be brainliest to you

5 0

3 years ago

What is the measure of 21? 100° 90° 80° 85° 95%​

What is the measure of 21? 100° 90° 80° 85° 95%