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nekit [7.7K]
3 years ago
8

Looking at the triangles in the figure on the right: a) find EF b) Find HD c) find GE

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

EF = 34.3

HD = 53.2

GE = 45.7

GOOD LUCK FOR THE FUTURE! :)

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6)
aleksklad [387]

Answer:

..2.50x + 3.75x = 15..

Step-by-step explanation:

i think

8 0
3 years ago
A rectangle with an area of 5/8 ft² is dilated by a factor of 8. What is the area of the dilated rectangle?
gulaghasi [49]

Answer:

40 ft²

Step-by-step explanation:

Let the length of the original rectangle be L and original Breadth be B

it is given that the original area  is 5/8 ft²

i.e.

Original Length x Original Breadth = Original Area, or,

LB = 5/8 ft² ------------------(1)

Given that the dilation factor is 8,

Hence,

New Length = 8L and New Breadth = 8B

THerefore,

New Area = 8L x 8B

= 64 LB  (from (1) above , we know that LB = 5/8 ft², substitute into expression)

= 64 (5/8)

= 40 ft²

4 0
4 years ago
Triangle ABC is equilateral. Find the height of BD
RideAnS [48]

Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.

Line BD is placed in the middle, making D the midpoint of side AC.

knowing this information we can determine that the length of DC is 4 units (half of AC)

since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD

a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)

we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third

4² + b²= 8²

16 + b² = 64

b² = 48

b = \sqrt{48}

b= 4√3 or about 6.928 units

hope this helped

3 0
3 years ago
Determine whether the triangles are similar. or not.
KatRina [158]

Answer:

B.Similar,sss

Step-by-step explanation:

Since no angles measures are provided in these triangles, we can determine if these triangles are similar by using the SSS Similarity Theorem. This requires that we determine if each pair of corresponding sides have an equal ratio.

8 0
3 years ago
The following table shows the probability distribution for a discrete random variable.
mezya [45]

Answer: C. 30.47

Step-by-step explanation:

The mean of discrete random variable i.e. the expected value of X is given by :-

E(X)=\sum^{i=n}_{i=1} X_iP(X_i)

Now by using the given table, the expected value of X is given by :-

\\\\\Rightarrow\ E(X)=23\cdot (0.16)+25\cdot(0.09)+26\cdot(0.18)+31\cdot(0.12)+34\cdot(0.24)+38\cdot(0.21)\\\\\Rightarrow\ E(X)=30.47

Hence, the  mean of discrete random variable= 30.47

6 0
3 years ago
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