Answer:
x = 5/7
Step-by-step explanation:
Here, we want to get the value of x
Firstly, according to indices;
(a^m)^n = a^(m * n) = a^mn
Also;
a^m * a*n = a^(m + n)
a^0 = 1 (any number raised to zero as its power is 1)
And lastly;
a^m divided by a^n = a^(m-n)
So using these we can have;
7^4x = 7^( 2 + 3)/7^3x
7^4x = 7^5/7^3x
7^4x = 7^(5-3x)
Since we have the same bases, we have to equate the powers
4x = 5-3x
4x + 3x = 5
7x = 5
x = 5/7
Answer:
B) Yes, they are both right angles.
Step-by-step explanation:
Answer:
AB = 4.5 units
Step-by-step explanation:
Let the length of AB be x.
<em><u>GIVEN</u></em><em> :-</em>
- BC = 3 units
- CD = 4 units
- ED = 6 units
- BD || AE
<em><u>TO FIND</u></em><em> :-</em>
<em><u>FACTS TO KNOW BEFORE SOLVING</u></em><em> :-</em>
<em><u>Basic Proportionality Theorem</u></em> :-
- If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , the other two sides are divided in the same ratio.
<em><u>PROCEDURE</u></em><em> :-</em>
According to Basic Proportionality Theorem ,



∴ AB = 4.5 units
Volume = length x width x height
Volume = 33 x 29 x 18
= 17,226
Number of whole cubes formed by the defined volume = 17,226/3
= 5742 cubes
Answer:
GCF of 32 and 80 is 16
Step-by-step explanation:
factors of 32 = 1, 2, 4, 8, 16, 32
factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80