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
Igoryamba
3 years ago
14

Find the measure of the line segment GE. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

The measure of the line segment GE is 18\ units

Step-by-step explanation:

we know that

<u>The Intersecting Secant-Tangent Theorem</u> , states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment

so

In this problem

GE*GF=GH^{2}

substitute the values

(8+x)(8)=12^{2}

solve for x

8x+64=144

8x=144-64

8x=80

x=10

Find the measure of the line segment GE

GE=8+10=18\ units

You might be interested in
The GCF of the numbers in the expression (55 + 44) is _____. The numbers left inside the parentheses after factoring out the GCF
Alenkinab [10]
55=5*11
44=4*11
gcf=11

11(5)+11(4)=11(5+4)

the numbers inside are 5 and 4


<span>The GCF of the numbers in the expression (55 + 44) is <u>11</u>. The numbers left inside the parentheses after factoring out the GCF are <u>5</u> and <u>4</u>. </span>



8 0
3 years ago
Read 2 more answers
For question 25 please pick 1,2,3 or 4
Juli2301 [7.4K]

Answer:

4.

$x=\frac{2}{3} \pm  \frac{1}{6}i \sqrt{158}$

Step-by-step explanation:

18x^2-24x+87=0

Using Quadratic Formula

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$

Solving the discriminant:

\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688

$x= \frac{24 \pm \sqrt{-5688} }{36} $

$x= \frac{24 \pm \sqrt{5688i} }{36} $

Once \sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}

$x=\frac{24\pm6\sqrt{158}i}{36}$

Dividing the denominator and numerator by 6

$x=\frac{4\pm \sqrt{158}i}{6}$

Now rewrite it:

$x=\frac{4}{6} \pm  i\frac{\sqrt{158}}{6}$

$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$

or

$x=\frac{2}{3} \pm  \frac{1}{6}i \sqrt{158}$

5 0
3 years ago
25y=15y+75 solve for y
MAXImum [283]

Answer:

y=7.5

Step-by-step explanation:

25y -15y =75

10y=75

y=7.5

plz mark brainliest

6 0
2 years ago
Read 2 more answers
a number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How does this frequency compare to the expec
Korolek [52]

Answer:

The frequency is 3 more than expected

Step-by-step explanation:

There are 3 favourable outcomes: {2, 4, 6}

There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}

probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2

If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected

8 0
2 years ago
Anybody woke im ???????????????????
Naya [18.7K]

Answer:

whatrtsusbssjndkdkdjdj

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to 4x3/8?
    5·2 answers
  • The slope of the line passing through the points (0,0) and (2,3) is
    5·1 answer
  • The tax rate as a percent, r, charged on an item can be determined using the formula – 1 = r, where c is the final cost of the i
    9·2 answers
  • At a high school, 18% of the students play football and 6% of the students play football and baseball. What is the probability t
    15·1 answer
  • WILL GIVE BRIANLIEST!!!!!!!!!!!!!!!!!!!!! picture down below ↓↓↓↓↓↓
    7·1 answer
  • Select the graph of the solution. Click until the correct graph appears.<br><br> |x| &gt; 5
    7·2 answers
  • Laurie says summer is 1 over 4 of the year. Maria says summer is 3 over 12 of the year. Who is correct? explain
    5·2 answers
  • What is the solution to the inequality below? will give brainliest for correct answer
    9·1 answer
  • Arrange the fractions in ascending order. 1/5, 1/3, 1/7, 1/4, 1/8​
    5·1 answer
  • Please help me! I will give brainliest and points!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!