Ask question

Ask question

All categories

3 years ago

12

Given that PHT is a right triangle and HY is an altitude, what is the missing justification in the proof that (ph)^2 +(HT)^2=(PT

) ^2
A. Right triangle similarity postulate
B. SSS similarity postulate
C. AA similarity postulate
D. SAS similarity postulate

1 answer:

aliya0001 [1]3 years ago

4 0

Your answer will be c

You might be interested in

Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

He floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 12° angle with the ground. About how long is

soldier1979 [14.2K]

Given :

Hight of the van from the ground, h = 3 feet.

The ramp into the van makes a 12° angle with the ground.

To Find :

How long is the ramp.

Solution :

Let, length of ramp is l .

So, height of ramp in terms of length is given by :

$h = l \times sin\ 12^o\\\\l = \dfrac{h}{sin \ 12^o}\\\\l = \dfrac{3}{sin \ 12^o}\\\\l = 14.429 \ feet$

Hence, this is the required solution.

8 0

2 years ago

How much change will you get back if you bought three 0.78 chocolate bars and paid with a $5 bill?

Hitman42 [59]

2 dollars and 66 cents

4 0

3 years ago

Read 2 more answers

Using Triangle Similarity Theorems (6)

Fantom [35]

Answer:

DC = 3

Step-by-step explanation:

Based on triangle similarity theorem, we would have the following equation:

$\frac{AD}{AC} = \frac{AE}{AB}$

Plug in the values

$\frac{9}{9 + DC} = \frac{12}{12 + 4}$

$\frac{9}{9 + DC} = \frac{12}{16}$

$\frac{9}{9 + DC} = \frac{3}{4}$

Cross multiply

3(9 + DC) = 9×4

27 + 3DC = 36

Subtract 27 from each side

3DC = 36 - 27

3DC = 9

Divide both sides by 3

DC = 9/3

DC = 3

6 0

2 years ago

2x+3=9 what is the answer

xxMikexx [17]

Answer : x=3

Step-by-step explanation:

Explanation:

2x+3=9

We want to find the variable x, so we have to make it alone. To do so, first subtract 3 from both sides of the equation:

2x+3 − 3=9 − 3

2x=6

Now divide both sides by 2:

2x2=62

So the final answer is:

x=3

6 0

3 years ago