Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
(1)
(1b)
If we know that 
, 
, 
, 
and 
, then the perimeter of the pentagon MNPQR is:
The pentagon MNPQR has a perimeter of 22 units.
Answer:
1) 2/7; 43; 3/7
2) C
3) 30; 30; 10; is not; 10; is not
Step-by-step explanation:
1) y + 4/7 = 6/7
y = 6/7 - 4/7
y = 2/7
17 + b = 60
b = 60 - 17
b = 43
6/7 = m + 3/7
m = 6/7 - 3/7
m = 3/7
2) 11.5 - x = 5.25
x = 11.5 - 5.25
x = 6.25
3) he can substitute 30 for t.
He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).
Since 15 is not equal to 10, Harry's solution is not correct
Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>
<em />
Given expression:
In this case:
To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:
Simplifying:
Answer: The remainder is 15.
nswer:
B
C
=
24
Explanation:
The triangle is isosceles, because (from the diagram) ∠
A
B
C
=
∠
A
C
B - note how the angle there is marked on both of these. If these angles are equal, this means that the sides
A
C
=
A
B
let A
C
=
A
B
x
+8=2x-1
8
=
x
−
1
x
=
9
We want to find the length of
B
C
, which is (
3
x
−
3
)
. We know that x
=
9
B
C
=3
x
−
3
B
C
=
3
(
9
)
−3
B
C
=
27
−
3
B
C
=
24
I think the correct answer from the choices listed above is option C. It is the metal Na that will react with water to produce a metal hydroxide and hydrogen gas. It reacts violently with water forming sodium hydroxide and the hydrogen gas.
