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
gtnhenbr [62]
3 years ago
15

Can anyone help me with this? I've been stuck on this question for some time-

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

Angle E is 43 degrees.

Step-by-step explanation:

So we know that AB is parallel to CD.

We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.

First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:

\angle DHF+\angle CHF=180

We already know that Angle CFH is 119. Substitute:

\angle DHF+119=180

Subtract 119 from both sides:

\angle DHF=61

Therefore, Angle DHF is 61 degrees.

Since Angle DHF is 61 degrees, then angle BGH <em>must</em> also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.

Also, Angle BGE is the supplementary angle to Angle BGH. In other words:

\angle BGE+\angle BGH=180

Find Angle BGE. Substitute 61 for BGH:

\angle BGE+61=180

Subtract 61:

\angle BGE=119

So, angle BGE is 119 degrees.

Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:

\angle B+\angle BGE+\angle E=180

Substitute 18 for B and 119 for BGE. Thus:

18+119+\angle E=180

Add:

137+\angle E=180

Subtract:"

\angle E=43\textdegree

And we're done!

Remarks:

I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)

You might be interested in
60in in feet <br> Pls help fast !
PolarNik [594]

Answer:

5 feet

Step-by-step explanation:

Divide 60 inches by 12

Your answer is 5 feet.

Hope this helped :)

6 0
2 years ago
Solve for x using basic trigonometric ratios.
yuradex [85]
Sine 35 degrees = x / 20

x = sine 35 degrees * 20

x = .57358 * 20

x = 11.4716


8 0
3 years ago
Val returned a bicycle while she was on vacation. She paid a flat rental fee of $55.00 plus $8.50 each day. The total cost was $
never [62]

Number of days Val rented the bicycle is 8

<h3><u>Solution:</u></h3>

Given that val paid a flat rental fee of $55.00 plus $8.50 each day

The total cost was $123

To find: number of days she rented the bicycle

Let "a" be the number of days she rented the bicycle

Rental fee = $55.00

Fee for one day = $ 8.50

So total cost is equal to rental fee and fee for "a" days

Total cost = rental fee + (number of days she rented the bicycle x Fee for one day)

123 = 55.00 + (a \times 8.50)

123 = 55 + 8.50a

123 - 55 = 8.50a

8.50a = 68

a = \frac{68}{8.50} = 8

Thus number of days she rented the bicycle is 8

4 0
3 years ago
Which expression represents the number 5i4+2i3+8i2+−4  rewritten in a+bi  form?
aniked [119]
Remember
i²=-1 so
i³=-i
i⁴=1

so
5i⁴+2i³+8i²-4
5(1)+2(-i)+8(-1)-4
5-2i-8-4
-7-2i is the form
8 0
3 years ago
Read 2 more answers
Order from least to greatest -5 -4 -7, 0, 3
Bumek [7]
-7, -5,-4,0,3
Hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • Round .895 to the nearest hundredths
    12·2 answers
  • Find the sum of (x+5) and (2x+3)
    5·2 answers
  • Please help! I need this paper done before my class tomorrow! Thank you!
    15·2 answers
  • What is the solution to 3|–3x + 9| = –18?
    9·2 answers
  • Simplify sinx + cosx/cotx
    11·1 answer
  • Need help asap, multiple choice
    10·1 answer
  • Ten minutes after a plane leavesthe airport, it is reported to be 40 miles
    9·1 answer
  • Slope of points (2,2) and (-2,-2)
    6·1 answer
  • Use the distributive property to solve the equation -9(x+5)=27
    6·1 answer
  • Can someone please help me with this question.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!