Answer:
It is the last one, I just took the assignment on edg.
Step-by-step explanation:
Answer:
58.1 degrees
Step-by-step explanation:
Given the following
JK = 9.4miles (towards south) negative y axis
If the move 15.1 miles towards east (that will be towards the positive x axis)
Using the SOH CAH TOA identity
opposite= 15.1 miles(side facing m<J)
adjacent= JK = 9.4miles
tan theta = opposite/adjacent
tan m<J = 15.1/9.4
tan m<J = 1.6063
m<J = arctan (1.6063)
m<J = 58.09 degrees
Hence the measure of m<J to the nearest tenth is 58.1 degrees
<u>Explanation</u><u>:</u>
Consider ABCD is a rhombus
We know that
All sides are equal in rhombus i.e,
⇛AB=BC=CD=DA
and AC and BD are digonals
Given that
Diagonal and the side of the rhombus are equal.
⇛AB = BC = CD = DA = AC
Diagonal AC divides the rhombus into two triangles .
They are ∆ BAC and ∆ DAC
In triangle BAC
BA=BC=AC,(Given)
⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)
Similarly in ∆DAC ,
DA=DC=AC
⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)
From eqn(i) and eqn(ii)
∠A=∠BAC+∠DAC=60°+60°=120°
and
∠B= ∠ABC = 60°.
and
∠C=∠ACB+∠ACD=60°+60°=120°
and
∠D =∠ADC=60°
∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°
<u>Answer:</u><u>-</u>The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.
Note: [Figure refers in the attached file.
Answer:
A: (3^2)*2
B: (2^3)*3
C: 2*19
D: (3^2)*9
Step-by-step explanation:
We have:
A) 18= 3*3*2= (3^2)*2
B) 24=2*2*2*3=(2^3)*3
C) 38 = 2*19
D) 81 =3*3*9=(3^2)*9
You would have to use this equation : y2-y1/x2-x1 = slope
So it would be -13 +3/6-2= -10/4
Simplify it and you get : -5/2
Slope is -5/2
