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3 years ago

Pleaseeeeee helpppppppp i will mark brainlest

Mathematics

2 answers:

OlgaM077 [116]3 years ago

8 0

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°. Therefore,

x - 11 + 48 + 90 = 180

x + 127 = 180

x = 53°

RideAnS [48]3 years ago

8 0

Answer:

x = 53

Step-by-step explanation:

Using the information that angles in a triangle add up to 180°, we can set up and equation to find the value of x

⇒ Use the information that angles in a triangle add up to 180°, form an equation

→ x - 11 + 48 + 90 = 180

⇒ Simplify

→ x + 127 = 180

⇒ Minus 127 from both sides to isolate x

→ x = 53

We can substitute the value of x back into x - 11 + 48 + 90 = 180 to see if our value of x is correct, if we end up on 180 on both sides then the value of x is correct

→ x - 11 + 48 + 90 = 180

⇒ Substitute in the value of x

→ 53 - 11 + 48 + 90 = 180

⇒ Simplify

→ 180 = 180

This means that x = 53 is correct

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The art club is designing a rectangular mural for the school hallway. Three

AysviL [449]

Answer:

The coordinates are (50, 103)

Step-by-step explanation:

The three hallways are AB, BC, CD.

The co-ordinate of D is (50, 75).

The school's flagpole is 28 meters right of the point D.

Hence the y-coordinate for the flagpole will be same as D, that is 75.

The x-coordinate will be (28 + 75) = 103.

The location of the school's flagpole will be represented by (50, 103)

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3 years ago

40,000 divided by 500

nata0808 [166]

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3 0

2 years ago

Read 2 more answers

Please help needed its due soon

SOVA2 [1]

Answer: 1,767.15

Step-by-step explanation:

The radius is half the diameter, which is 15, therefore the radius is 7.5.

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6 0

2 years ago

Determine whether the triangles are similar. if so, write a similarity statement and name the postulate ot theorem you used. if

Gekata [30.6K]

Answer: Explained.

Step-by-step explanation: The explanations are as follows :

(7) Since GF is parallel to JK and FK and GJ are tranversals, so we have

∠GFK = ∠JKH,

∠FGK = ∠KJH (pairs of alternate interior angles) and

∠GKF = ∠JHK (vertically opposite angles).

Therefore, both the triangles are similar by AAA similarity rule.

(8) Here,

$\dfrac{AN}{MP}=1,~\dfrac{AD}{PR}=\dfrac{4}{5}.$

Since the ratio of the corresponding sides are not proportional, so the triangles are not similar.

(9) Here,

$\dfrac{PS}{RS}=\dfrac{SQ}{ST}=\dfrac{PR}{QT}=\dfrac{2}{3}.$

So, the triangles are similar by proportionality rule.

(10) Here,

$\dfrac{RQ}{JK}=\dfrac{11}{16},~\dfrac{PR}{KL}=\dfrac{30}{45}=\dfrac{2}{3},~\dfrac{PQ}{JL}=\dfrac{2}{3}.$

Since all the ratios are not equal, so the triangles are not similar.

(11) Here , no angle of one triangle matches with the angle of the other triangle, so the given triangles are not similar.

(12) Here,

$\dfrac{GH}{AC}=\dfrac{GK}{AB}=\dfrac{KH}{BC}=\dfrac{1}{2}.$

So, the triangles are similar by the proportionality rule.

Hence explained.

7 0

3 years ago

Show your work F(x)=5x^2-4x+1 G(x)=3x-2 H(x)=x+1 K(x)= 4x What is (g*h)(x)= What is g(k(x))= What is k(g(0)) =

andre [41]

Answer:

— What is (g × h)(x)?

The answer is 3x²+x-2

— What is g(k(x))?

The answer is 12x - 2 or 2(6x-1)

— What is k(g(0))

The answer is -8

Explanation:

Given these functions —

$f(x) = 5 {x}^{2} - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x$

Find (g × h)(x)

$(g \times h)(x) = g(x) \times h(x)$

Substitute g(x) = 3x - 2 and h(x) = x + 1

$(3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)$

Multiply the polynomial.

$3 {x}^{2} + 3x - 2x - 2$

Subtract - 2x out of 3x —

$3 {x}^{2} + x - 2$

Thus, the answer is —

$(g \times h)(x) = 3 {x}^{2} + x - 2$

Find (g(k(x))

Substitute k(x) = 4x in g(x).

$g(x) = 3x - 2 \\ k(x) = 4x$

$g(k(x)) = g(4x)$

$g(4x) = 3(4x) - 2$

Distribute 3 in 4x —

$g(4x) = 12x - 2$

Thus the answer is —

$g(k(x)) = 12x - 2$

Alternative Solution

$g(k(x)) = 2(6x - 1)$

Find k(g(0))

Given two functions — k(x) and g(x)

$k(x) = 4x \\ g(x) = 3x - 2$

Evaluate the value of g(0) as we substitute x = 0 in g(x)

$g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) = - 2$

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

$k(x) = 4x \\ g(0) = - 2$

Substitute g(0) = -2 in k(x)

$k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) = - 8$

Thus, the answer is —

$k(g(0)) = - 8$

7 0

3 years ago