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3 years ago

13

A supplementary angle is split into 2 angles. One angle is 2x + 20°. The other angle is 40°. Solve for x and find the measuremen

t of the missing angle.

1 answer:

IrinaVladis [17]3 years ago

8 0

Answer:

x=60 and the missing angle is 140

Step-by-step explanation:

40 × 2x + 20= 180

60 + 2x =180

2x=120

x=60

2(60)+20=140

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Solve for the value of z

zloy xaker [14]

Answer:

26

Step-by-step explanation:

The two angles shown are a linear pair. Their sum is 180°.

(4z -8)° +(3z +6)° = 180°

7z = 182 . . . . . . . . . divide by °, add 2

z = 26 . . . . . . . . . . divide by 7

3 0

3 years ago

Read 2 more answers

Urgent, please i will give brainliest

Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$ </em>

<em />

<em>First answer choice is right.</em>

<em />

2.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$

Third answer is right.

3 0

3 years ago

Read 2 more answers

A store is having a sale to celebrate president's Day. Every item in the store is advertised as one fifth off the original price

olya-2409 [2.1K]

1/5th off = 20% off

80% = $140
1% = $1.75
100% = $175

Answer is $175

6 0

3 years ago

Cities A & B are 5 inches apart on a map. Cities Ce Dare 4 inches apart. If C & D are 900 miles apart how many miles apa

Afina-wow [57]

Answer:

<u>Cities A and B are 1,125 miles apart</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance between A and B in the map = 5 inches

Distance between C and D in the map = 4 inches

Real distance between C and D = 900 miles

2. How many miles apart are cities A and B?

We will solve the question, using Direct Rule of Three, as follows:

Distance in the map Real distance

A - B 5 inches x

C - D 4 inches 900 miles

***************************************************

4x = 900 * 5

4x = 4,500

x = 4,500/4

x = 1,125 miles

<u>Cities A and B are 1,125 miles apart</u>

Same answer to question 14701120, answered by me today

8 0

4 years ago

Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X

nadezda [96]

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF ..........( Q - F - P )

= 2x + 1 - x

∴ QF = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

$XP = XQ + QF+PF ..........(X-Q-F-P)\\\\$

$XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\$

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ $x = \frac{6}{5}$

Now we require

QP = (2x + 1)

∴ $QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit$

Therefore the length of QP = 3.4 units

3 0

3 years ago