Answer:
No congruency statement can be made because the side length are unknown.
Step-by-step explanation:
The sum of the measures of all interior angles in a triangle is always 180°.
In triangle XYZ,

then

In triangle TUV,

then

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
Answer:
66
Step-by-step explanation:
Open the parentheses, 18 + 72 - 16 - 8 = 66
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

If we know that
and
, then:


The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:


If we know that
and
, then:


The length of BC is 51 units.
<span>Answer: a) Greater than or equal to 38 feet
b)Since there is no restriction on the perimeter there exists many possible values for the length of the deck.
Explanation: Given that the width of the deck is 29 ft.
and the perimeter of the deck is at least 134 ft.
134 = 2(length + width)
134 = (2 x length) + (2 x 29)
134 = (2 x length) + 58
2 x length = 134 - 58
2 x length = 76
length = 76 / 2
length = 38 ft
Thus, the inequality will be:
a)Length ≥ 38 ft
b)since there is no restriction on the perimeter there exists many possible values for length of deck.</span>