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
tiny-mole [99]
3 years ago
7

Use the information in the figure. If F=116, find E 58 32 116 64

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Step-by-step explanation:

Given that,

  • m∠F = 116°

We have to find the value of m∠E.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→<u> x = 32°</u>

Henceforth,

→ m∠E = x

→ m∠E = 32°

\\

~

You might be interested in
Write the value of the numerator 374 as the product of prime factors
ycow [4]
The prime factors of 374 are 2,11and,17
8 0
3 years ago
Kelvin and Lewie each design surveys in order to determine the number of people who buy food at the mall. Kelvin surveys every o
timurjin [86]

Answer: A.Kelvin’s because he surveyed people leaving an area where food is sold


Step-by-step explanation:

Given: Kelvin and Lewie each design surveys in order to determine the number of people who buy food at the mall.

Kelvin surveys every other person leaving the food area.

Thus, he doesn't know about the people who do not buy food at mall whereas Lewie surveys every fifth person leaving the mall’s main entrance.

Thus, by this systematic random sampling he knows out of how many people the number of people buy food at mall.

Hence, Kelvin’s survey is likely to produce less valid results because he surveyed people leaving an area where food is sold.

6 0
3 years ago
Read 2 more answers
Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra
ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

            Greg swam 16 kilometers with the current.

            Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= (x-3)\ kmph

   Speed of swimming with current= (x+3)\ kmph

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, Time= \frac{Distance}{Speed}

⇒ \frac{4}{(x-3)} = \frac{16}{(x+3)}

Multiplying both side by (x+3) and (x-3)

⇒4\times (x+3)= 16\times (x-3)

Using distributive property of multiplication.

⇒ 4x+12= 16x-48

Subtracting both side by 4x and adding by 48.

⇒60= 12x

Dividing both side by 12

⇒x= \frac{60}{12} = 5\ kmph

Hence, Greg can swim at the rate of 5kmph with no current.

7 0
3 years ago
Choose the answer : which is the equation of the given line in slope-intercept form
Julli [10]
The answer is b y=-3x-1
5 0
3 years ago
Read 2 more answers
Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. Ho
pochemuha

Answer: 2061.55\ m

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km

7 0
2 years ago
Other questions:
  • How can the order of operations be used to simplify expressions?
    6·1 answer
  • Matching inequalities with statements
    9·1 answer
  • X + 2y + 5z = -17<br> 2x – 3y + 2z = -16<br> 3x + y - z = 3
    6·1 answer
  • PLZZ HELP ME I'LL FAN U N GIVE YOU A MEDAL
    5·1 answer
  • Solve the equation without the use of a calculator. please Help!!! Thank you!!!<br> 12x^3-30x=5-2x^2
    15·1 answer
  • Use the definition of continuity to determine whether f is continuous at a. f(x) = 5x+5 a = -5 Question
    10·2 answers
  • 6x2 - 21 = 33; Solve and what are the x-intercepts of this quadratic equation ?
    6·1 answer
  • Beth has $300. Each week, she
    13·1 answer
  • Which exponential function grows at a faster rate than the quadratic function for zero is less than X is less than three
    12·1 answer
  • If $300 is invested at a rate of 5% per year and is compounded quarterly, how much will the investment be worth in 15 years?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!