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kupik [55]
3 years ago
14

Please help me........​

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Sum/Difference Identity: tan (A + B) = (tanA + tanB)/(*1 - tanA · tanB)

Scratchwork:

tan (50) = tan (40 + 10)

             = \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}

tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10

tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10

tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10

Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1

<u>Proof LHS → RHS</u>

LHS:                           tan 50    - tan 40

Substitute tan 50:     tan 40 + tan 10 + (tan 50 · tan 40) · tan 10     - tan 40

Simplify:                     tan 10 + (tan 50 · tan 40) · tan 10

Reciprocal Identity:   tan 10 + tan 10

Simplify:                    2 tan 10

LHS = RHS:  2 tan 10 = 2 tan 10    \checkmark

     

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I need help with these three
Ludmilka [50]
A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.

B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other. 

C. 5y-29=3y+19       then plug y into your equation: 5*24-29=91
    2y=48                   and so: <7 = 180-91=89 (and since <8 is congruent)
    y=24                     <8 also equals 89

Your second problem: 
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30       so: <B=30 degrees, <A=60 degrees

Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
    7x+12=180
    7x=168
    x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
6 0
3 years ago
Read 2 more answers
Cal is buying T-shirts and shorts. T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160 and wants to bu
7nadin3 [17]
5 shirts and 4 shorts 12+12+12+12+12+25+25+25+25
7 0
3 years ago
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Change the fraction w-3/w+5 into an equivalent fraction with the denominator w2 + w – 20.
viktelen [127]
ANSWER

\frac{ {w}^{2}  - 7w + 12}{ {w}^{2}  + w - 20 }

EXPLANATION


The given fraction is,

\frac{w - 3}{w + 5}

To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us

w²+w-20

in the denominator.


This implies that,

\frac{w - 3}{w + 5}  =  \frac{(w - 3)(w - 4)}{(w + 5)(w - 4)}

We multiply out the numerators and denominators using the distributive property to obtain,


\frac{w - 3}{w + 5}  =  \frac{ {w}^{2}  - 4w - 3w + 12}{ {w}^{2} - 4w + 5w - 20 }

This simplifies to

\frac{w - 3}{w + 5}  =  \frac{ {w}^{2}  - 7w + 12}{ {w}^{2}  + w - 20 }


5 0
3 years ago
What is the x of 2/3x squared minus 6x plus 15
iogann1982 [59]
(2/3)x^2 -6x + 15 = 0
Using the quadratic formula:
x = [-b +-sq root(b^2 - 4 *a*c)] / 2a
x= [--6 +-sq root(36 -4*(2/3)*15] / 2*(2/3)
x= [6 +-sq root 36 -40] / (4/3)

x1 = 4.5 + (2i / (4/3))
x1 = 4.5 + 1.5i
x2 = 4.5 - (2i / (4/3))
x2 = 4.5 - 1.5i




4 0
3 years ago
Evalute p-4 for p=24
polet [3.4K]

Answer:

p = 20

Step-by-step explanation:

p - 4

24 -4 = 20

6 0
3 years ago
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