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Korolek [52]
2 years ago
8

Choose the correct answer. > < = We can't compare them= fastbridge quiz amath

Mathematics
2 answers:
Luba_88 [7]2 years ago
8 0

Answer:

show the picture

Step-by-step explanation:

Sergio [31]2 years ago
3 0

Answer:

\leq and or = and or \geq

Step-by-step explanation:

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The area of a triangle is 150 cm- and its sides are in the ratio 3: 4:5. What is its perimeter?
dmitriy555 [2]
Hey, your answer is d) 60cm
6 0
3 years ago
In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2,
kirill115 [55]

Answer:

Xbar = 20.813

Median = 19.95

5 - number summary :

Minimum = 15.2

Q1 = 19.05; Q2 = 19.95 ; Q3 = 21.95 ; maximum = 29.4

Standard deviation, s = 4.068

Step-by-step explanation:

Given the data:

X : 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

Ordered data:

15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

The mean (xbar) :

Xbar = Σx / n ; n = sample size = 8

Xbar = 166.8 / 8 = 20.8125

Xbar = 20.813

The median :

1/2 *(n+1)th term

1/2(9) = 4.5

(4 + 5)th term / 2

(19.7 + 20.2) / 2 = 19.95

The five number summary :

Minimum = 15.2

Lower quartile (Q1) = 1/4(9) = 2.25 ; (2nd + 3rd) term / 2

(18.8 + 19.3) / 2 = 19.05

Median (Q2) = 19.95

Upper quartile (Q3) :

3/4(9) = 6.75 = (6th + 7th) / 2

(21.8 + 22.1) / 2 = 21.95

Maximum = 29.4

The standard deviation, s = sqrt[(x - xbar)²/ (n-1)]

Using calculator ;

s = 4.068

4 0
3 years ago
Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Plan
kakasveta [241]

Answer:

1/2= 5/10

5/10 - 3/10 = 2/10 or 1/5

so planet X is 1/5 of a light-year closer

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies
melamori03 [73]
The difference is referring to subtraction, so the question was most likely something like how much longer is this butterflies wings than this ones. so 4.55 might be one of the lengths and 3 might be the other, so 4.55 - 3 is 1.55.
4 0
3 years ago
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