For number 13,the arrow should be going “<“ way because it is in fraction form and the bigger the number the smaller the pieces. This repeats for the rest of the questions so for number 14,the answer is “=“,and for number 15 it is “>”
So we have the system of equations:
equation (1)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
in equation (2):
equation (3)
Replacing equation (3) in equation (1):
equation (4)
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
Given:
Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.
To find:
The values of x and y.
Solution:
We have,
(Given)
(CPCTC)
Divide both sides by 4.
In ∆BTS,
(Angle sum property)
Now,
(CPCTC)
Divide both sides by 7.
Therefore, the value of x is 9 and value of y is 14.
Answer:
y = 3
Step-by-step explanation:
The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is
= ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = = = × = 3
There isn't enough information to answer