Answer:
SAS Postulate.
Step-by-step explanation:
Two triangles are congruent if anyone of the following postulates is true:
SAS - Two corresponding sides and the included angles are congruent to each other.
SSS - All the three corresponding sides are congruent.
ASA - Two corresponding angles and the included sides are congruent to each other.
AAS - Two corresponding consecutive angles and sides adjacent to either of the angles are congruent.
HL - If the corresponding hypotenuses and one corresponding legs are congruent to each other.
Here, in the figure, two corresponding sides and the included angle between them are congruent to each other.
So, the two triangles are congruent by SAS postulate.
Answer:
6 laps.
Step-by-step explanation:
On Monday she runs 2x + 8 miles, where x miles = the length of the trail.
On Tuesday she runs 4x + 4 miles and this is the same distance as Monday, so
2x + 8 = 4x + 4
4 = 2x
x = 2 miles which is the length of the trail.
So each day she runs 4(2) + 4 = 12 miles.
So on Saturday she runs 12/ 2 = 6 laps.
Answer:
27
Step-by-step explanation:
Factory A proportion:
3 : 2,000
Factory B proportion:
5 : 4,500 (this can be simplified):
1 : 900
Now plug in 18,000 to each proportion:
Factory A:
x : 18,000
3 : 2,000
x = 27
Factory B:
x : 18,000
1 : 900
x = 20
Factory A had the greater amount of defects, 27
Answer:
B
Step-by-step explanation:
Sqaure roots can be rewritten as fractions.
The numerator will be rewritten as 6^(1/4)
The denominator will he written as 6^(1/5)
Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)
The denominator stays the same so you are left with 1/20 which is still the power over 6
6^1/20
Answer:
Step-by-step explanation:
-1/3y - 6 = -11
-1/3y - 6 + 6 = -11 + 6
-1/3y = -5
-1/3y * 3y = -5 * 3y
-1 = -15y
-1 / -15 = -15y / -15y
y = 1/15
