Answer:
x=21, y= 35
Step-by-step explanation:
3x+7=5x-35
(subtract seven from -35)
3x=5x-42
(subtract 5 from 3)
-2x=-42
(-42/-2= positive number)
x=21
y+75=3y+5
(subtract 75 from 5)
y=3y-70
(subtract 3y from y)
-2y=-70
y=35
A. side AB = 38/3 units B.m∠VYX =77°
Step-by-step explanation:
A.A rhombus has its four sides equal. This means side AB=side CD
Given that AB=5x+1 and CD=2x+8 equate the two sides to find value of x as;
5x+1=2x+8
collect like terms
5x-2x=8-1
3x=7
x=7/3
side AB = 5x+1
AB= 5*7/3 +1
AB=35/3 +1
AB=35/3 +3/3 = 38/3
B.
The diagonals of a rhombus intersect to form 90°
Hence
(3n²-0.75)°=90°
3n²=90°+ 0.75°
3n² =90.75° -----dividing by 3 both sides
n² =90.75°/3 =30.25°
n²=30.25°
n=√30.25°
n=5.5°
so angle Z =90°
and angle ZVW =(9n+2)°
∠ZVW = (9*5.5 +2 )° =51.5°
In a rhombus all four sides are equal, thus side VY = YX.This means triangle VYX is an isosceles triangle.
Hence angle ∠YVZ=∠WVZ =51.5°, and because VYX is an isosceles triangle then ∠YXV =51.5° so
∠VYX= 180°-(51.5°+51.5°)
=180°-103°=77°
Learn More
Properties of a Rhombus : brainly.com/question/1305249
Keywords : Rhombus, fraction, simplest form
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If n = –2, then m is equal to 13;
If n = 0, then m is equal to 7;
If n = 1, then m is equal to 4
Answer:
The last investment (C) has the least interest of $600
The other two investments (A and B) have the <u>same</u> amount of interest of $1800.
Step-by-step explanation:
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
<u>Investment A</u>
- P = $2000
- r = 10% = 0.1
- t = 9 years
Substitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(9)
⇒ I = $1800
<u>Investment B</u>
- P = $3000
- r = 3% = 0.03
- t = 20 years
Substitute the given values into the formula and solve for I:
⇒ I = 3000(0.03)(20)
⇒ I = $1800
<u>Investment C</u>
- P = $2000
- r = 10% = 0.1
- t = 3 years
Substitute the given values into the formula and solve for I:
⇒ I = 2000(0.1)(3)
⇒ I = $600
The last investment (C) has the least interest of $600.
The other two investments (A and B) have the <u>same</u> amount of interest of $1800.
Answer:
Step-by-step explanation:
3x + 5 = 35
3x = 30
x = 10
