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babunello [35]
3 years ago
13

Please help due today

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

a. angle H ≅ angle B

b) BC

Step-by-step explanation:

A pair of similar shapes will give equivalent  sides and angles

a. angle H ≅ angle B

b) BC

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Add or Subtract.<br> (−2^2 − 4 + 13) + (12^2 + 2 − 25)<br><br> (7^2 + 4 − 26) − (−7^2 − 3 + 15)
aleksklad [387]

Here is your answer

1. (−2^2 − 4 + 13) + (12^2 + 2 − 25)

= (4-4+13)+ (144+2-25)

[Note:- -2^2=(-2×-2)= +4]

= 13+ (146-25)

=13+121

= 134

2. (7^2 + 4 − 26) − (−7^2 − 3 + 15)

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= 49 +4 -26 -49 +3 -15

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HOPE IT IS USEFUL

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.
dmitriy555 [2]

see the attached figure to better understand the problem

we have that

cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

cos (A)=(AC/AB)\\AC=AB*cos(A)

substitute the values in the formula

AC=12*(1/5)\\ AC=2.4\ units

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}

substitute the values

BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units

Step 3  

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

BD^{2} =DC^{2}+BC^{2}

substitute the values  

BD^{2} =2^{2}+11.76^{2}

BD=11.93\ units

therefore

<u>the answer is</u>

the length of BD is 11.93 units

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