Answer:
<em> SSS</em><em> can be used to prove that the given triangles are congruent.</em>
Step-by-step explanation:
In the given two triangles ΔADC and ΔABC,
- AD = AB = 7 units,
- CD = BC = 8 units,
- AC is common to both triangles,
Hence, ΔADC ≅ ΔABC by Side-Side-Side (SSS) congruence.
SSS congruence-
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Answer:
16 and 18
Step-by-step explanation:
Answer:
x = 9/2 y = 0
Step-by-step explanation:
2/3x + 5y = 3 5y = -2/3x + 3 y = -2/15x + 3/5
4/3x - 2(-2/15x + 3/5) = 6
4/3x + 4/15x - 6/5 = 6
8/5x - 6/5 = 6
8/5x = 36/5
x = 9/2
2/3(9/2) + 5y = 3
3 + 5y = 3
5y = 0
y = 0
9/10 = z/8
cross multiply
9/10(10)(8) = z/8(8)(10)
9(8) = z(10)
72 = 10z
Isolate the z, divide 10 from both sides
72/10 = 10z/10
z = 72/10
z = 7.2
7.2, or D) is your answer
hope this helps
Answer:
25 students take both subjects.
Step-by-step explanation:
Solve for 60% of 300 students:
60/100 = x/300
Cross multiply:
60 × 300 = 100 × x
18000 = 100x
Divide both sides by 100:
180 = x
Solve for 20% of 300 students:
20/100 = x/300
20 × 300 = 100 × x
6000 = 100x
60 = x
Solve for the percentage of students in chemistry:
x/100 = 35/300
x × 300 = 100 × 35
300x = 3500
x = 11.66666...7
x = about 11.7%
Find the difference in percentages:
100 - 60 - 20 - 11.7
8.3
8.3% take both subjects
Solve for 8.3% of students:
8.3/100 = x/300
8.3 × 300 = 100 × x
2490 = 100x
24.9
About 25 students
Check your work by adding all the students together (to get to 300):
25 + 60 + 180 + 35
300 students total
This is correct!
