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
Keith_Richards [23]
1 year ago
11

Given: CH bisects DHG. mGF = (2x + 6)° and mDC = (7x – 1) ° I cannot figure this one out.

Mathematics
1 answer:
Natalka [10]1 year ago
3 0

Applying the definition of an angle bisector, the value of x is: 11.

<h3>What is an Angle Bisector?</h3>

When a line segment bisects an angle into two equal halves, it is called an angle bisector. The two small angles formed have equal measure.

Given that CH is the angle bisector of angle DHG

m(GF) = (2x + 6)°

m(DC) = (7x – 1)°

m(DC) = m(GC) = (2x + 6)° [congruent angle]

The measure of half a circle is 180 degrees.

Therefore, we would have the following equation that would enable us find the value of x:

2[m(DC)] + m(GF) = 180°

Plug in the values

2(7x – 1)° + (2x + 6)° = 180°

14x – 2 + 2x + 6 = 180

Combine like terms together

16x + 4 = 180

16x = 180 - 4

16x = 176

Divide both sides by 16

16x/16 = 176/16

x = 11

Learn more about angle bisector on:

brainly.com/question/24334771

#SPJ1

You might be interested in
What is the volume of a sphere with a diameter of 49.3cm, rounded to the nearest tenth of a cubic centimeter?
Zanzabum
The answer is V≈62739.26cm³
5 0
2 years ago
Rachel Newton scored 33 points in a recent basketball game. She scored 21 times, making several free throws worth 1 point each a
SpyIntel [72]

6

Step-by-step explanation:

Step 1:

Let Rachel scored 33 points in total

Let a be the 1 point and b be the 2 point.

a = 21 points scored by 1 point. We want to find b

Step 2:

a+b=33

b= 33-a

  = 33-21

   = 12

b=12 points which means 6 double points

3 0
3 years ago
Q2. In a school, 60% of the students are girls. 50% of the girls walk to school. 20% of the boys walk to school. What percentage
Sphinxa [80]

<em>Answer:</em>

<em>38%</em>

<em>Step-by-step explanation:</em>

<em>60 percent girls</em>

<em>50 percent of girls walk</em>

<em>50 percent take the bus</em>

<em></em>

<em>40 percent boys</em>

<em>20 percent walk</em>

<em>80 percent take the bus</em>

<em></em>

<em>If there are 100 people in the school</em>

<em>60 girls</em>

<em>30 girls take the bus</em>

<em></em>

<em>40 boys</em>

<em>8 boys walk</em>

<em></em>

<em>8+30=38</em>

<em>38% of the people walk to school</em>

8 0
2 years ago
2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
2 years ago
What is the area of this quadrilateral need help ASAP
vova2212 [387]

Answer:

42

Step-by-step explanation:

The figure is broken into different shapes so you find the area of each shape shown and add them up!

Step one: find the area of the triangle. 1/2*base*height* The base is 3 and the height is 4. it will be 6. This applies to the second triangle on the bottom as well. The total of both triangle is 12.

Step two: find the area of the rectangle.base*height. All you have to do is 10*3 which is 30.

Step three: now add up all the areas you got. 30+12. which is 42.

hope this helps :)

4 0
3 years ago
Other questions:
  • Laminate buys 12 packs of juice and pays a total of $48. Use a ratio table to determine how much she will pay to buy 8 more pack
    12·1 answer
  • Most credit cards are ___ debt
    10·2 answers
  • For each of the following portions,draw a diagram of the mixture in the jar. Then shade a layer that would correspond this porti
    9·1 answer
  • Which graph shows a function where f(2) = 4?
    7·1 answer
  • Use two colors of counters to show a way to make 5.color to show the counters . Write the numbers to show the pair that makes 5
    12·1 answer
  • Solve equation for x. State any restrictions. ax+2=bx+c
    14·1 answer
  • How many numbers <br><br> are reciprocal of themselves?
    13·1 answer
  • Which statement correctly compares Line segment AB Which statement correctly compares Line segment AB and Line segment FD? And L
    14·1 answer
  • 18_ (-20) = -2 how do I figure out if it is add, subtract, multiply, or divide​
    9·1 answer
  • Help me answer this due today at 9:00!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!