Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
Answer:
See below and image
Step-by-step explanation:
180 + 48 = 228
180 + 55 = 235
∠G is the shortest
Step-by-step explanation:
Given is a ΔFGH
FG = 8.7
FH = 4.5
GH = 6.1
The triangle will be formed with three angles
F, G and H
"The side opposite to the largest angle of the triangle is the largest"
Similarly, The side opposite to the shortest angle is the shortest.
Converse of this postulate will be:
The interior angle opposite to the shortest side of the triangle is the smallest.
The triangle formed is attached in the form of a picture.
The angle opposite to FH will be the shortest.
Hence,
∠G is the shortest
Keywords: Angles, triangles
Learn more about angles at:
#LearnwithBrainly
Answer:
D)We are 95% confident that the proportion of adults (ages 17‐26) who attended college during the past 4 years and say that alcohol and drug use at their school is a big problem is between 53% and 59%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true proportion for the population of adults who attended college who say that alcohol is a big problem is between 0.53 and 0.59. This means that the answer is given by option D.
Answer:
y=x+10
Step-by-step explanation:
y=mx+b
y=1x+b
1 because for every 10 it goes to the right, it goes up 10 as well.
b=10 because the function crosses the y-axis at 10
so
y=x+10
