Given:
To prove:
Solution:
In triangle AED,
Two sides of triangle AED are equal, it means triangle AED is an isosceles triangle. The base angles of an isosceles triangle are equal. So,
In triangle ABE and triangle DCE,
(Given)
(Base angles of an isosceles triangle are equal)
(Given)
Two corresponding sides and their included angles are congruent. So, triangles are congruent by SAS postulate of congruence.
(By SAS postulate of congruence)
Hence proved.
Answer:
−
√
(
9
+
y
)
2
>
1
Explanation:
−
√
(
9
+
y
)
2
, where y
<
−
10
Simplify the expression,
−
√
(
9
+
y
)
2
=
−
(
9
+
y
)
=
−
9
−
y
When y
<
−
10
,
−
y
>
10
Subtract 9 from both sides,
−
9
−
y
>
1 Hence,
−
√
(
9
+
y
)
2
>
1
Answer:
x >-6
Step-by-step explanation:
Minus 7 from 19 and you get 12. Then you get -2x < 12. Divide both sides by 2 and you get x >-6.
I’m sorry but I can’t see it it s flipped over
Answer:
Step-by-step explanation:
First, we divide the composite figure into two distinct geometric shapes. This would be a triangle and a square. To find the triangle we use the formula:
A = 1/2bh
To find the base of the triangle we can add:
9 + 9 + 18 = 36
Now we plug in and solve:
A = 1/2bh
A = 1/2(36)(27)
= 1/2(972)
= 486
To find the square, we can use length x width:
18×18 = 324
Now, we add the sums together:
486 + 324 = 810