Angle ADB is a right angle, which is given.
The measure of ADB is 90 degrees by definition of right angle.
The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).
The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).
BDC = ADB because 90 = 90
Overall, the two triangles are congruent by SAS.
Answer:ayayaa
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given that

We have to find the value of given logarithms by using change-base formula
Base-change formula:

Where x=New base
Using the formula then, we get

Substitute the values 
Then,we get


Answer:
use -4y for x in the second equation
-4 y + 5 y = 2
so
y = 2
then x = -4(2) = -8
(-8 , 2)
Step-by-step explanation:
Answer:
f(3) = - 60
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x), that is
f(3) = 5(3)² - 7(4(3) + 3)
= 5(9) - 7(12 + 3)
= 45 - 7(15)
= 45 - 105
= - 60