For problem #4 the answer is 100°. The triangle are congruent meaning the angles that are given both of the triangle have to have the same angles.
The triangle sum theorem is all triangles have a 180° . All the 3 angles = 180.
They gave you two angles of the triangle. So add the two angles and find the difference of 180.
50+30=80
180-80=100°
#5 set those 2 angles equal. Because the A corresponds to Q. Solve for X and plug in your x value
The anwser would be C. trust me i just took this test
Answer:
you need 100ml of 5X TAE and 400ml of water.
Step-by-step explanation:
You need to use a rule of three:

where:

and

Therefore:


Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.
B= (v/a^2)-5 should be correct.
Answer:
440
Step-by-step explanation:
Her we have two objects: 2 square.
1st has dimension 5x5x8
2nd has dimension 10x10x2
But we also have invisible prarts, the bottom of 1st is on the top od the 2nd. So we will remove something.
The formula for the surface of the square is
S=2B+M
Surface area of the first is
S1=2x5x5+4x8x5=50+160=210
Surface are of the 2nd is
S2=2x10x10+4x10x2=200+80=280
S=s1+s2-50=210+280-50=440
This -50 is are od one base from first square 5x5=25 whic we added in s1, but in real it is invisible.
The same area we added in s2. The top is 10x10-5x5 (invisible prat).
So we added two times 25, it is 50.