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
Damm [24]
3 years ago
11

Please no link! need question answered as soon as possible

Mathematics
1 answer:
ira [324]3 years ago
3 0

\huge\bold{Given :}

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

\huge\bold{To\:find :}

The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

We know that,

\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = \frac{112° }{2}

➪ x° = 56°

\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}

\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆

You might be interested in
The speed of light in mph
GuDViN [60]

6.706e+8 is the speed of light in miles per hour!!

3 0
3 years ago
Click on the measurement that is equal to 24 kilograms
kenny6666 [7]

Answer:

24000 grams

Step-by-step explanation:

1kg = 1000 grams

So 24kg × 1000 = 24000 grams

3 0
3 years ago
Ralph is 3 times as old as Sara. In 6 years , Ralph will be only twice as old as Sara will be then. Find Ralph’s age now .
Delvig [45]

Answer:

Ralph's current age is 18.

Step-by-step explanation:

Let r and s represent the current ages of Ralph and Sara respectively.  Our task here is to determine r, Ralph's age now.

If Ralph is 3 times as old as Sara now, then r = 3s.

Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6.  Ralph will be only twice as old as Sara will be then.  This can be represented algebraically as

r + 6 = 2(s + 6).

We now have the following system of linear equations to solve:

r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).

r - 2s = 6

r = 3s

Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6.  Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.

Ralph's current age is 18.


3 0
3 years ago
Find the exact value of the indicated trigonometric function of θ.
Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
3 years ago
Please find for y thank you
Vlad1618 [11]
Since the triangles are congruent your equation would be 2y+8=19

Solve for y

y=5.5
4 0
3 years ago
Other questions:
  • 3p-2 greater than or equal to 4 or 7p&gt;-28
    14·1 answer
  • Mr. Smith earns 6% commission on every house he sells. If he earns 9,000, what was the price of the house?
    5·2 answers
  • Your laptop died and you need a new one for work NOW! The one you need will cost $500. You do not have the cash in your checking
    15·1 answer
  • Use the function below to find F(3). F(x)=(1/5)^x
    9·2 answers
  • Solve each equation 10 + 1/3 = 1
    14·2 answers
  • Which of the following sets of numbers could not represent the three sides of a right triangle?
    12·2 answers
  • The diameter of a circle measures 32 ft. What is the circumference of the cirle? Use 3.14 for n, and do not round tour answer. B
    13·1 answer
  • If you take a true-false quiz with 20 questions and totally guess on every
    11·1 answer
  • The spinner below was
    7·1 answer
  • S =The maximum walking speed S, in feet per second, of an animal can be modeled by the equationVgL, where g = 32 ft/sec and L is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!