Answer:
See explanation
Step-by-step explanation:
The two triangles are similar if the ratio of the corresponding sides are proportional.
The ratio of the corresponding sides are:
The set of ratios which could be used to determine if one triangle is a dilation of the other is
If there are multiple correct options then check this one too.
Answer:
<h2><u><em>
x = 18 °</em></u></h2>
Step-by-step explanation:
you have a rotation angle of 360 °, take out the known values (360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 - 144 - 90 - 36 - 36 = 54.
54 is 3x, so x = 18 ° (54 : 3 = 18)
Answer:
Step-by-step explanation:
Multiply the three dimensions
12 x 6 x 8 = 576 cm^3
Answer:
At a speed of 57 mph for 8 hr a driver will travel 456 mi
Step-by-step explanation:
Here we have a summary of the letters for each variable:
Speed ---> r (in units of mph)
Time ---> t (in units of hr)
Distance ---> d (in units of mi)
These three variables are related by the next formula:
d = rt
In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:
r = 57 mph
t = 8 hr
The only thing you have to do is replace the values:
d = rt ----> d = 57 mph x 8 hr
d = 456 mi
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
brainly.com/question/24643676
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The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
