Answer:
x = 49
The equation does have a solution
Step-by-step explanation:
The sqrt of x = 7, does have a solution. Simply remove the radical, and raise each side by the index of the radical.
In more basic terms, what number has the sqrt of 7? 7^2 is equal to 49!
Answer:
C
Step-by-step explanation:
A. Equilateral triangle is a triangle with all sides congruent. These triangles are not equilateral, because there is no information about all three sides of each triangle.
B. Isosceles triangle is a triangle with two sides congruent. These triangles are not isosceles, because there is no information about congruence of two sides of each triangle.
C. ASA posrulate 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. This is exactly what you are given in this question, so this option is true.
D. This option is false, because triangles can have two pairs of congruent angles (for example, 20° and 40°), then third pair are also congruent angles not necessarily right (180°-20°-40°=120°≠90°).
Observe the figure given.
Given: ABCD is a parallelogram.
To prove: ABCD is a rhombus
Statement
1. ABCD is a parallelogram. AC bisects 
.
Reason: Given
2. 
Reason: Definition of an angle bisector
3. 
Reason: Reflexive property of congruence
4. 
Reason: ASA Postulate
5. 
Reason: corresponding parts of congruent triangles are equal.
6. 
Reason: Opposite sides of the parallelogram are congruent.
7. 
Reason: Transitive property of congruence
8. ABCD is a rhombus
Reason: Definition of rhombus
