Answer:
The second one is correct
Answer:
m∠QRT = 90°
m∠QRT = m∠SRT
Step-by-step explanation:
Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.
RT is angle T bisector, so angles QTR and STR are congruent.
Consider two triangles QTR and STR. In these triangles:
- TR ≅ TR (reflexive property);
- ∠QTR ≅ ∠STR (given);
- QT ≅ ST (given).
By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so
Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to 
So, true options are
m∠QRT = 90°
m∠QRT = m∠SRT
Answer:
23.80/140 = 0.17 = 17%
Step-by-step explanation:
The first thing you have to do is know the equation. The equation is a(1+p)^t.
a= the amount of money p= the percent represented as a decimal and t=time ( the t is raised as an exponent)
so, in this case, it is represented as 200(1+0.05)^2\
200(1.05)^2
200(1.1025)
220.5 That is how much extra he would owe in interest fee's
Answer:
C. 10 000
Step-by-step explanation:
If we called:
x = children who have been vacinated against rubella only
2x = children who have been vaccinated against mumps
y = children who have been vaccinated agains both
Children who have been vaccinated against mumps only = x - y
And we know that y = 2*(x-y)
=> 2y = 3x
y = 5000
There fore x = 7500
The number of children who have been vaccinated against rubella
= 2x - y = 2*7500 - 5000 = 15 000 - 5000 = 10 000
