Answer:
30°, 30° and 120°
Step-by-step explanation:
Using the information given in the question.
let x be the measure of each congruent base angle , then
the third angle = 3x + 30
Sum the 3 angles and equate to 180
3x + 30 + x + x = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
The 2 congruent bas angles are each = 30°
The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°
B. THE 2 IN THE TENTHS PLACE IS 10 TIMES THE VALUE OF THE 2 IN THE HUNDREDTHS PLACE.
2 2 . 2 2 2
tens ones decimal point tenths hundredths thousandths
2 in the tenths place = 0.20
2 in the hundredths place = 0.02
0.02 x 10 = 0.20
Answer: 72° or any muliple of it: 72°, 144°, 216°, 288°, 360°, ...
It can be either clockwise or counterclockwise.
Explanation:
Thi is because a regular pentagon has 5 congruent sides.
Then you determine the angle of rotation by dividing 360° (a complete turn) by the number of sides (5)
360° / 5 = 72°.
Then every 72° the segments of the image will overlap those of the preimage.
First one:
you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so
when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)
-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m
add
-10m-13m+2m^4-20m^4
-23m-18m^4
second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms
(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8
Answer:
6536 cubic in
Step-by-step explanation:
1. Split both the prisms apart- In doing so, you can simplify the problem.
2. Put in the #'s for the formula which in this case is V=L*W*H, we will start with the formula for the front one, V=7*8*1 or V=7*8
3. answer for the front is 56 cubic in, now we solve for the other half.
4. V=9*1*90 or V=9*90 which is 6480 cubic in.
5. add 6480 and 56 and your answer is 6536 cubic in as your answer.
Hope this helped ;D
