1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
3 years ago
5

I need help finding the measures of the other angles.

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0

<7 and <10 are each 84 degrees

solniwko [45]3 years ago
5 0

We know that Sum of Angles in a Triangle = 180

⇒ Angle(4) + Angle(5) + Angle(7) = 180

⇒ 52 + 44 + Angle(7) = 180

⇒ 96 + Angle(7) = 180

⇒ Angle(7) = 180 - 96 = 84

We know that Vertically Opposite Angles are Equal

Angle(7) and Angle(10) are Equal

⇒ Angle(10) = 84

Also, Angle(8) and Angle(9) are Equal

Let us take Angle(8) = Angle(9) = P

As Angle(8) - Angle(9) - Angle(7) - Angle(10) form a Complete Angle, their Sum should be Equal to 360.

⇒ Angle(8) + Angle(9) + Angle(7) + Angle(10) = 360

⇒ P + P + 84 + 84 = 360

⇒ 2P + 168 = 360

⇒ 2P = 192

⇒ P = 96

We took Angle(8) = Angle(9) = P

⇒ Angle(8) = Angle(9) = 96

You might be interested in
I NEED HELP NOW What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4
sergiy2304 [10]

Answer:

it woupld be the lterr if 7 and 65 and juj hyhy st

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
¯¯¯¯¯¯ J K is a tangent to circle C . If m ∠ K J L = 27 °, What is m ˆ K L ?
iragen [17]

Answer: I think 13

Step-by-step explanation:

5 0
3 years ago
Please dont ignore, Need help!!! Use the law of sines/cosines to find..
Ket [755]

Answer:

16. Angle C is approximately 13.0 degrees.

17. The length of segment BC is approximately 45.0.

18. Angle B is approximately 26.0 degrees.

15. The length of segment DF "e" is approximately 12.9.

Step-by-step explanation:

<h3>16</h3>

By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.

For triangle ABC:

  • \sin{A} = \sin{103\textdegree{}},
  • The opposite side of angle A a = BC = 26,
  • The angle C is to be found, and
  • The length of the side opposite to angle C c = AB = 6.

\displaystyle \frac{\sin{C}}{\sin{A}} = \frac{c}{a}.

\displaystyle \sin{C} = \frac{c}{a}\cdot \sin{A} = \frac{6}{26}\times \sin{103\textdegree}.

\displaystyle C = \sin^{-1}{(\sin{C}}) = \sin^{-1}{\left(\frac{c}{a}\cdot \sin{A}\right)} = \sin^{-1}{\left(\frac{6}{26}\times \sin{103\textdegree}}\right)} = 13.0\textdegree{}.

Note that the inverse sine function here \sin^{-1}() is also known as arcsin.

<h3>17</h3>

By the law of cosine,

c^{2} = a^{2} + b^{2} - 2\;a\cdot b\cdot \cos{C},

where

  • a, b, and c are the lengths of sides of triangle ABC, and
  • \cos{C} is the cosine of angle C.

For triangle ABC:

  • b = 21,
  • c = 30,
  • The length of a (segment BC) is to be found, and
  • The cosine of angle A is \cos{123\textdegree}.

Therefore, replace C in the equation with A, and the law of cosine will become:

a^{2} = b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}.

\displaystyle \begin{aligned}a &= \sqrt{b^{2} + c^{2} - 2\;b\cdot c\cdot \cos{A}}\\&=\sqrt{21^{2} + 30^{2} - 2\times 21\times 30 \times \cos{123\textdegree}}\\&=45.0 \end{aligned}.

<h3>18</h3>

For triangle ABC:

  • a = 14,
  • b = 9,
  • c = 6, and
  • Angle B is to be found.

Start by finding the cosine of angle B. Apply the law of cosine.

b^{2} = a^{2} + c^{2} - 2\;a\cdot c\cdot \cos{B}.

\displaystyle \cos{B} = \frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}.

\displaystyle B = \cos^{-1}{\left(\frac{a^{2} + c^{2} - b^{2}}{2\;a\cdot c}\right)} = \cos^{-1}{\left(\frac{14^{2} + 6^{2} - 9^{2}}{2\times 14\times 6}\right)} = 26.0\textdegree.

<h3>15</h3>

For triangle DEF:

  • The length of segment DF is to be found,
  • The length of segment EF is 9,
  • The sine of angle E is \sin{64\textdegree}}, and
  • The sine of angle D is \sin{39\textdegree}.

Apply the law of sine:

\displaystyle \frac{DF}{EF} = \frac{\sin{E}}{\sin{D}}

\displaystyle DF = \frac{\sin{E}}{\sin{D}}\cdot EF = \frac{\sin{64\textdegree}}{39\textdegree} \times 9 = 12.9.

7 0
3 years ago
Leah gets paid $795 biweekly. What is the recommended monthly rent that she can afford?
Pepsi [2]

I would say since thats $1500+ a month about 600 dollars, because she will have bills and then have to buy food drinks and alot more.

3 0
3 years ago
Read 2 more answers
8. What expression is equivalent to 3y – 21?
disa [49]

3(y-7)

use distributive property

3 0
3 years ago
Other questions:
  • Given P=1/2x(y+z),find the value of P,if x=6 and y=9 and z=7
    11·1 answer
  • What is 5.2x10^2 x 1.2 x 10^4
    9·2 answers
  • Help me answer this math question please?
    11·1 answer
  • What's the perimeter of rectangle DEFG, shown? A) 17 B) 28 C) 40 D) 34
    11·2 answers
  • Let X and Y be independent positive random variables. Let Z = X/Y.In what follows, all occurrences of x, y, z are assumed to be
    14·1 answer
  • You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet . You intend to i
    8·1 answer
  • At Alan's auto shop, it takes him minutes to do an oil change and minutes to do a tire change. Let be the number of oil changes
    5·2 answers
  • I just need some quick help with this. Distributive properties aren't my best section.
    5·1 answer
  • What is the slope for the function y = -3x^2 + 2 at the point x = 2?
    9·1 answer
  • What are the values of x, y, and z ?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!