Answer:
w=2.5
Step-by-step explanation:
divide 12.5 by 5: 12.5/5=2.5, so w=2.5
The congruence theorems or postulates that proves the following set of triangles are congruent are:
a. SAS congruence postulate
b. SSS congruence postulate
c. SAS congruence postulate
d. SAS congruence postulate
<h3>Triangle Congruence Postulates or Theorems</h3>
- Two triangles having two pairs of congruent angles and a pair of included sides are congruent by the SAS congruence postulate.
- Two triangles having three pairs of congruent sides are congruent by the SSS congruence postulate.
- Two triangles having two pairs of congruent sides and a pair of included angles are congruent by the SAS congruence postulate.
- Two triangles having two pairs of congruent angles and a non-included side are congruent by the SAS congruence postulate.
Therefore, the congruence theorems or postulates that proves the following set of triangles are congruent are:
a. SAS congruence postulate
b. SSS congruence postulate
c. SAS congruence postulate
d. SAS congruence postulate
Learn more about Triangle Congruence Postulates or Theorems on:
brainly.com/question/3432837
Answer:
49% and 30% respectively
Step-by-step explanation:
Step one:
Given data
Principal = Rs. 4,200
Final Amount= Rs. 9282 respectively
time = 2 years and
time = 4 years
Required
The rate of interest for 2 and 4 years
Step two:
the compound interest formula is
A= P(1+r)^t
for 2 years
Substitute


the rate is 49%
For 4 years we have

![1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B9282%7D%7B4500%7D%20%7D%20%5C%5C%5C%5C1%2Br%3D%5Csqrt%5B4%5D%7B2.21%7D%20%20%5C%5C%5C%5C1%2Br%3D%201.30%5C%5C%5C%5Cr%3D1.30-1%5C%5C%5C%5Cr%3D%200.30%5C%5C%5C%5C)
the rate is 30%
Step-by-step explanation:
Since all side lengths of smaller squares are equal, we have


Since length of AB is twice of the side length of smaller squares,

Answer:
Step-by-step explanation: