Answer:
30°
Step-by-step explanation:
A dilatation does not change the size of the angles in the triangles only the length of the sides.
ΔABC and ΔXYZ are therefore similar and corresponding angles are congruent, hence
∠X = ∠A = 50°
∠Y = ∠B = 100°
The sum of the 3 angles in the triangle = 180°, thus
∠Z = 180° - (50 + 100)° = 180° - 150° = 30°
Step-by-step explanation:
the answer is in the picture
Hey there! I'm happy to help!
If angles are complementary, they add up to 90 degrees.
This gives us this system of equations.
J=K-18
J+K=90
We plug the value of J into the second equation to solve for K.
K-18+K=90
We combine like terms.
2K-18=90
Add 18 to both sides.
2K=108
Divide both sides by 2.
K=54
J is 18 less than K.
54-18=36
Therefore, angle J is 36 degrees and angle K is 54 degrees.
Have a wonderful day! :D
Answer:
1st question-d,2nd question-5
Step-by-step explanation: suplementary means sum is 180
the angles will form a line and only d option is forming a line
15x factors are 3 and 5and x
35 factors 5 and 7
hcf is5
hope this helps
plzzs mark me brainliest john
Answer:
23,655.11
Step-by-step explanation:
First, calculate the taxes
FICA 28,044 X .062=1738.73
MEDICARE 28044 X .0145=406.64
Federal 28044 x .08 = 2243.52
After tax income is
28044-1738.73-406.64-2243.52=23,655.11