Answer:
Option (1)
Step-by-step explanation:
Lines X and Y are intersecting at a point.
Two pairs of vertical angles have been formed at the point of intersection.
1). ∠1 and ∠3
2). ∠2 and ∠4
It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]
If line Y is rotated 5° clockwise about the point of intersection of both the lines,
∠1 and ∠3 both will increase by 5°.
Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).
Option (1) will be the answer.
Answer:
y>0, -3>x> -1
y<0, -3<x<-1
y = 0, x = -3 and x = -1
Step-by-step explanation:
Ken's distance is: d(t)=1.7t
Ken's shadow is:
(14-6)/d(t)=14/s
8/d(t)=14/s
s=14d(t)/8
s=1.75d(t) and using the value for d(t) we have:
s=1.75(1.7t)
s=2.975t and if you want it in terms of d, d=1.7t, t=d/1.7 so
s=2.975(d/1.7)
s=1.75d
Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem
----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°
Paaralellogram has 2 pairs of paralell sidess
therefor there are 2 pairs of sides with same legnth
perimiter=legnth+widht+legnth+width since the opposite sides ar the same sinnce paralell
perimiter=2legnth +2width
perimiter=15.42
legnth=2.93
subsitute
15.42=2(2.93)+2width
15.42=5.86+2width
subtract 5.86 from both sides
9.56=2width
divide both sides by 2
4.78
legth of ther side is 4.78 cm
