Answer:
D. ASA
Step-by-step explanation:
In triangles ABC and ADC,
- Angles BCA and DAC are congruent (from the diagram);
- Angles BAC and DCA are congruent (from the diagram);
- AC is congruent AC (by reflexive property).
So, the triangles ABC and CDA are congruent by ASA postulate.
ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Answer:
Other side = 60
Perimeter = 150
Step-by-step explanation:
Using Hypothenuse formula
25²+B²=65²
625+B²=4225
B²=4225-425
B²=3600 (Bring Square to the other side to become Square root)
B=√(3600)
B=60
Perimeter:(Sum of all side)
60+65+25
150
Use the distributive property on the given expression.
4(2x + 11) = 4 * 2x + 4 * 11 = 8x + 44
Only choice C shows the correct expression.
Answer: C. 8x + 44
Answer: Number of bags of 8. = 33
Number of bags of 10. = 31
Step-by-step explanation:
Let x = Number of bags of 8.
y = Number of bags of 10.
As per given.
(i)
(ii)
Put value of x from (ii) in (i)
Put this in (i), x= 31+2=33
Hence,
Number of bags of 8. = 33
Number of bags of 10. = 31
<u>Answer:</u>
12 units
<u>Step-by-step explanation:</u>
We are given these two points, (-7,-6) and (5,-6), and we are to find the distance between them.
We know the formula for finding the distance between two points:
<em>Distance = 
</em>
So putting in the values of the given coordinates in the above formula to get:
Distance = 
= 
Therefore, the distance between the two given points is 12 units.
