Answer:
Step-by-step explanation:
EXPLANATION
From isosceles triangle CBD,
This implies that,
ANSWER
EXPLANATION
From isosceles triangle CBD,
This implies that,
Answer:
∠I ≅ ∠F
Step-by-step explanation:
Since, F is common vertex in the sides GF and FE of triangle FGE and I is common vertex in the sides IJ and IH of triangle IJH.
Hence, ∠I ≅ ∠F will be the required information to prove that △FGE ~ △IJH by the SAS similarity theorem.
We are asked to find a range for x. Let's start by finding the maximum value. We know, by definition, that a side opposite a larger angle has a longer length. For example, if you think about a right triangle, the hypotenuse (the longest side) is always opposite of the right angle (the largest angle). We are given two side lengths: 23 is opposite of 42 degrees, and 21 is opposite of 3x + 15. Because 42 is opposite the longer side, 42 degrees is a larger angle than 3x + 15. We can set up the inequality and solve for x:

Now, let's look at the minimum value. We know that the angle definitely has to be larger than 0. So, we can set up that inequality and solve for x:

Now, we have our final range: -5 < x < 9
the lateral area of the hat is
.
<u>Step-by-step explanation:</u>
Here we have , George made a conical hat that has a slant height of 14 inches and a radius of 4 inches. The cone is open at one end. We need to find the nearest square unit , the lateral area of the hat . Let's find out:
We know that , Lateral area of cone =
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the lateral area of the hat is
.