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Mumz [18]
3 years ago
15

Which statement correctly describes the relationship between an acute and obtuse angle? An acute angle has the same measure as a

n obtuse angle. An acute angle has a greater measure than an obtuse angle. An acute angle has a smaller measure than an obtuse angle. An acute angle and an obtuse angle add together to make a right angle.
Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0
An acute angle has a smaller measure than an obtuse angle

Arturiano [62]3 years ago
3 0

Answer: C) An acute angle has a smaller measure than an obtuse angle.

Step-by-step explanation: An obtuse angle is more than 90deg but less than 180deg. An acute angle is an angle smaller than a right angle. The range of an acute angle is between 0 and 90 degrees. So the correct answer is the corresponding to optin C: An acute angle has a smaller measure than an obtuse angle (if we add together an obtuse and an acute angle it will always be more than 90deg).

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Write the prime factorization of each number 6760​
sergey [27]

Answer: 2, 2, 2, 5, 13, 13.

Step-by-step explanation:

Here is the math in order to find the prime factorization

6760 ÷ 2 = 3380

3380 ÷ 2 = 1690

1690 ÷ 2 = 845

845 ÷ 5 = 169

169 ÷ 13 = 13

13 ÷ 13 = 1

8 0
2 years ago
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, an
Scrat [10]
5/20 but if you were to simplify it then 1/4
8 0
3 years ago
Read 2 more answers
A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and
irinina [24]

Solution :

For the bigger rectangle

Width of bigger rectangle = W

Length of bigger rectangle, L = 2W

For the smaller rectangle

Width , w = W+4

Length, l = L = 2W

Area, a =120 m^2

Now we know,

Area = length x width

$a=l \times w$

$120=(2W) \times (W+4)$

$120=2W^2 + 8W$

$2W^2+8W-120=0$

$W^2+4W-60=0$

$(W+10)(W-6) = 0$

We get, either W=-10   (rejecting)

                or     W=6

∴ length of the bigger rectangle, $L=2W $

                                                          = 2(6)

                                                           = 12 m

 Length of the smaller rectangle, $L=2W$

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

6 0
3 years ago
11h - (2h - 1) = 118
julia-pushkina [17]

You have the following equation:

11h - (2h -1) = 118

In order to solve for h the previous equation you proceed as follow:

11h - (2h -1) = 118

elminate parenthesis by takin into accoun the multilpication of signs

11h - 2h + 1 = 118 simplify similar terms and subtract 1 both sides

9h = 117 divide by 9 both sides

h = 117/9

h = 13

Hence, the solution to the given equation is h = 13

6 0
1 year ago
Hartley has two 4-section spinners, each labeled 1-4. She will spin both spinners a total of 96 times. For each pair of numbers
Sav [38]

Answer:

1) Total outcomes of 1 time = 16

2) 36 times

3) 24 times

Step-by-step explanation:

<h3>1) Total outcomes</h3>

If both spinners are spinning together, and are labelled from 1 to 4, the the outcome are:

{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)}

We can count them to find total no. of outcomes

Total outcomes = 16

<h3>2) When Difference = 1</h3>

Following combinations have a difference of 1

{(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3)}

n = 6

Probability of getting such combination is: 6/16

How many times Harvey would get such a combination out of 96 times?

\frac{6}{16}\cdot96=36

<h3>3) When Difference = 0</h3>

Following combinations have a difference of 0

{(1, 1), (2, 2), (3, 3), (4, 4)}

n=4

Probability of getting such combination is: 4/16

How many times Harvey would get such a combination out of 96 times?

\frac{4}{16}\cdot96=24

5 0
3 years ago
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