I couldn’t tell if the x before the 3 was a multiplication sign but if it was the answer is 26x + 13
Answer:
a,d,e
Step-by-step explanation:
75+a1 = 180
so a1=105
a1=x-15
105=x-15
x=120
then using rules of parallel lines with commone intersecting line gives the others.
Answer:
Option (2) is correct.
Based on the drawing, SAS can be used to prove PQR ≅ STV
Step-by-step explanation:
We have to find the criterion by which the two given triangle can be prove similar from the given options.
Consider, the given triangles from the drawing given
ΔPQR and ΔSTV,
PR = VS (Given)
∠QRP = ∠TVS ( Given)
and, QR = TV (given)
Thus, PQR ≅ STV ( SAS CRITERION)
For SAS criterion , we need to show that two sides and the angle between those sides are equal .
Thus, option (2) is correct.
Answer:
(0.0706, 0.1294)
Step-by-step explanation:
Confidence interval of a proportion is:
CI = p ± CV × SE
where p is the proportion,
CV is the critical value (z score or t score),
and SE is the standard error.
The sample is large enough to estimate as normal. For 95% confidence level, CV = z = 1.96.
Standard error for a proportion is:
SE = √(pq/n)
SE = √(0.1 × 0.9 / 400)
SE = 0.015
The confidence interval is:
CI = 0.1 ± (1.96)(0.015)
CI = (0.0706, 0.1294)
Round as needed.
