Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
8x + 6 - 2x = 34x
Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x
Subtract 6x from both sides:
6 = 34x- 6x
Simplify 34x - 6x to 28x:
6 = 28x
Divide both sides by 28:
= x
Simplify
to
:
= x
Now switch sides and the answer is:
x =
:) <3
Answer:
9) 844cm^2 10) 15,000in^3 11) 240cm^3 12) 480in^3
Step-by-step explanation:
9) A= 200 A=160 A=192 A=192 A=100
200+160= 360+192= 552+192= 744+100=844cm^2
for #9 i divided the figure into 5 parts and got the area of each one and added all of the totally areas to get the final answer
10) A= 20*30= 600*25= 15,000in^3
11) A= 2*5= 10*4= 40cm^2 (cheese) A= 40*6= 240cm^3
12) 12*10= 120*4= 480in^3
Answer:
Step-by-step explanation:
h=16t^2+98=?
subtract 98 from both sides to get
h-98=16t^2
(the 98 on the right cancels)
now divide by 16 on both sides
h-98/16=t^2
(the 16 on the right cancels)
lastly take the square root on both sides
square root(h-98/16)= t
if you know what h is fill it in and it will give you your answer
Im not 100% sure!!
Combine like terms, 1+6 is 7 and 2t+4t is 6t. so 6t+7=55. get the t by itself by subtracting 7 from both sides. 6t=48, divide by 6. t=8
