Answer:
C
Step-by-step explanation:
The area of the wall hanging shown in blue is the area of the square 8 by 8 minus the area of the cutout. Notice the cutout is a triangle? To find the total area, subtract the area of the triangle from the square.
The square has the sides 8 by 8 and its area is found as A = 8*8 = 64.
The triangle measures 4 inches by 4 inches. The area is found as A = 1/2*4*4 = 8.
Subtract the two areas.
64 - 8 = 56
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
Given:difference in the mean weight gain is 0.60 gramsstandard deviation of the difference in sample mean is 0.305
68% confidence interval for the population mean difference is a) 0.305
0.60 + 1 * 0.3050.60 + 0.305 = 0.9050.60 - 0.305 = 0.295
95% confidence interval for the population mean difference is c) 0.61
0.60 + 2 * 0.3050.60 + 0.61 = 1.210.60 - 0.61 = -0.01
Answer:
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Step-by-step explanation:
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The angle of x is 71°
Because the triangle in isosceles the two bottom angles will have the same measure.
The angles of a triangle will add to 180° so you subtract 38 and divide by 2.
