Answer:
81 degrees
Step-by-step explanation:
A quadrilateral has four interior angles which sum up to 360 degrees.
As we are given that two angles are right angles which means the sum of two angles will be 180 degrees and the third angle is 99 degrees.
As we know that the four angles sum up to 360 degrees.
Let A,B,C and D denote the four angles,
Then
Sum of angles = 360
A+B+C+D=360
90+90+99+D=360
279+D=360
D=360-279
D= 81 degrees
So the fourth angle is 81 degrees ..
Answer:
x = 24
Step-by-step explanation:
MO is the angle bisector of ∠LMN, thus the following ratios are equal.
= 
, that is
= 
( cross- multiply )
7x = 12 × 14 = 168 ( divide both sides by 4 )
x = 24
Let
x ----> amount deposited at 4.5%
y ----> amount deposited at 5%
we have that
y=2x----> equation A
4.5%=0.045
5%=0.05
so
0.045x+0.05y=1,595 ----> equation B
solve the system
substitute equation A in equation B
0.045(x)+0.05(2x)=1,595
solve for x
0.045x+0.10x=1,595
0.145x=1,595
x=11,000
Find y
y=2(11,000)=22,000
<h2>The amount deposited at 4.5% was $11,000 and the amount deposited at 5% was $22,000</h2>
Answer:
X = 2.8
Step-by-step explanation:
5x+2=16
5x=16-2
5x=14
x=14÷5
x=2.8
Hope that helps!
Answer:
and 
(None of the answer choices fits. See explanation below)
Step-by-step explanation:
In mathematics, the modulus of a number, denoted by enclosing the number within vertical bars is the absolute value of the number. If the number is negative the sign is disregarded and the number is treated as positive
For example, 
and 
is also 
Solve for 
in the equation
Subtracting 4 on both sides yields 
Simplifying 
Multiplying by 2 on both sides yields 
We do not know if |x-3| is negative or positive since 
So we have 2 possibilities
If 
is negative, then 
==>
If 
is positive, then 
==>
So the possible values are and
None of the answer choices fits these values indicating either an error in the answer choices or the original equation
