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3 years ago

What is m∠H? (Must give Explanation)

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

Answer:

95°

Step-by-step explanation:

(x+49)+(x+59)=180

2x+108=180

2x=72

x=36

36+59=95

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Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startf

Len [333]

The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

<h3 /><h3>SOH CAH TOA identity</h3>

The identity is used to find the measure of sides and acute angles of a right triangle

From the diagram shown, <ABC is the reference abgle hence;

Opposite side = 2,4cm

Hypotenuse .=10.3cm

According to the identity

sin x = opp/hyp

sinx = 2.4/10.3
sinx = 0.233

x = 13.47 degrees

Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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2 years ago

Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none

Marysya12 [62]

Answer: The required solution of the given system is

(x, y) = (3, 1) and (4, 0).

Step-by-step explanation: We are given to solve the following system of equations :

$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

(x, y) = (3, 1) and (4, 0).

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3 years ago

Compare the functions shown below: g(x) f(x) = −6x − 3 cosine function with y intercept at 0, negative 3 h(x) = 2 cos(x + π) − 1

anastassius [24]

Answer:

because of the product

Step-by-step explanation:

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3 years ago

Evaluate the expression <br><br> (x + 3)(y - 2) , if x = -2, and y= 6

Butoxors [25]

Answer:

The answer is 4

Step-by-step explanation:

Given,

$x=-2,\,y=6$

Now, the expression

∴ $(x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4$

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3 years ago

Simplify the radical expression<img src="https://tex.z-dn.net/?f=%5Csqrt128" id="TexFormula1" title="\sqrt128" alt="\sqrt128" al

Rudiy27

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3 years ago