Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
Answer:
1 skateboard will cost $73 and the other will cost $72
Step-by-step explanation:
Skateboard A (Original) = X
Skateboard B (+$1) = X + 1
Solving for X
(x + 1) + x = 145
2x + 1 - 1 = 145 - 1
2x = 144
2/2 = x
144/2 = 72
x = 72
<span>twice the sum of a number and seven is 8
2(x+7)=8</span>
Answer:
- Annabella will save $4950.11 after 2 years.
Step-by-step explanation:
<h3>Given</h3>
- Periodic payment P = $200,
- Period t = 2 years,
- Number of compounds, monthly n = 12,
- Interest rate, r = 3.2% = 0.032.
<h3>To find</h3>
- Future value of saving, F
<h3>Solution</h3>
Use periodic compound formula:
Substitute the values and calculate:
rounded
Answer:
99
Step-by-step explanation:
Since the caterpillar crawled through the origin, her movement can be described by a straight line equation modeled with the points (-2.5; -5.5) and (0; 0).
The slope of a linear equation is given by:
For x = 45, the value of y is:
The value of the y-axis is 99.
