Answer:
section1
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
Since the triangles are similar we can use ratios to solve
4.5 7.5
---- = ------
3 x
Using cross products
4.5x = 3 * 7.5
4.5x = 22.5
Divide each side by 4.5
x = 22.5/4.5
x=5
Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
brainly.com/question/24746945
#SPJ1
Answer:
A
Step-by-step explanation:
X corresponds to the angle directly above it. ( the one adjacent to or beside 75) That means that x and the angle above it are the same measure. 75 and the angle beside it are a linear pair (adjacent angles on a line that sum to 180 degrees) linear pairs are always supplementary. So angle x has to be 105. 105 + 75 = 180.
Supplementary just means the sum of the two angles is equal to 180. Complimentary is wrong because it means the sum of the two would equal 90 degrees.
Answer:
1120
Step-by-step explanation:
10 4 4 7 multiply =1120 is the answer