Answer:
b ≈ 9.5, c ≈ 14.7
Step-by-step explanation:
Using the Sine rule in Δ ABC, that is
=
, substitute values
=
( cross- multiply )
b × sin23° = 7 × sin32° ( divide both sides by sin23° )
b =
≈ 9.5 ( to the nearest tenth )
Also
= ![\frac{c}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7BsinC%7D)
=
( cross- multiply )
c × sin23° = 7 × sin125° ( divide both sides by sin23° )
c =
≈ 14.7 ( to the nearest tenth )
Answer:
1620°
Step-by-step explanation:
The figure is an 11-sided polygon and is called hendecagon
The interior angle sum:
180( n-2) n=11
=180(11-2)
=180(9)
=1620°
I hope this help you
Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF
![\frac{ED}{AB}= \frac{7}{21}](https://tex.z-dn.net/?f=%5Cfrac%7BED%7D%7BAB%7D%3D%20%5Cfrac%7B7%7D%7B21%7D)
![\frac{ED}{AB}= \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BED%7D%7BAB%7D%3D%20%5Cfrac%7B1%7D%7B3%7D)
and
![\frac{EF}{BC}= \frac{11}{33}](https://tex.z-dn.net/?f=%5Cfrac%7BEF%7D%7BBC%7D%3D%20%5Cfrac%7B11%7D%7B33%7D)
![\frac{EF}{BC}= \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BEF%7D%7BBC%7D%3D%20%5Cfrac%7B1%7D%7B3%7D)
Thus
![\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BED%7D%7BAB%7D%3D%5Cfrac%7BEF%7D%7BBC%7D%3D%20%5Cfrac%7B1%7D%7B3%7D)
∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .
Answer:
x = 54
y = 47.5
Step-by-step explanation:
If two lines p and q are parallel and line r is a transversal intersecting these lines at two different points,
(x + 56)° = (2x + 2)° [corresponding angles]
2x - x = 56 - 2
x = 54
Similarly, lines r and s are parallel lines and q is a transversal line intersecting these lines,
(y + 7)° + (3y - 17)°= 180° [Consecutive exterior angles]
4y - 10 = 180
4y = 190
y = 47.5
Answer:
-90=
(
-18)
-90=
-18![x](https://tex.z-dn.net/?f=x)
![0=x^{2}-18x+90](https://tex.z-dn.net/?f=0%3Dx%5E%7B2%7D-18x%2B90)
![x=9+3i or 9-3i](https://tex.z-dn.net/?f=x%3D9%2B3i%20%20%20or%20%20%209-3i)
Step-by-step explanation:
you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.
square root (-9) = 3i