3. Segment GE is an angle bisector of both
angle HEF and angle FGH. Prove triangle HGE is
congruent to triangle FGE.
F
H
G
Answers
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Recall:
A segment that divides an angle into equal parts is known as an angle bisector.Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
This implies that: ΔHGE and ΔFGE have:
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Learn more about ASA Congruence Theorem on:
https://brainly.com/question/82493
Related Questions
The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?
Answers
The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.
What is sampling?Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.
Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.
According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.
Learn more about sampling in: https://brainly.com/question/350477
13. This shows a part of a multiplication table. Find the missing numbers. Explain how you found the numbers.
35 40
42 ?
? ?
Answers
The missing numbers in the multiplication table are 49, 48 and 56 respectively
Given:
35
42
?
35 = 7 × 5
42 = 7 × 6
? = 7 × 7 = 49
40
?
?
40 = 8 × 5
? = 8 × 6 = 48
? = 8 × 7 = 56
Multiplication table is a mathematical table showing the products of each of integers such as 7 and 5, 1 and 10, 13 and 12 etcTherefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively
Learn more about multiplication:
https://brainly.com/question/10873737
twin oaks soccer field is a rectangle. The longer side of the field is 108 yards long. The shorter side is 56 yards long. What is the perimeter of the field?
Answers
Answer:
P = 328 yards
Step-by-step explanation:
formula is P= 2l + 2w
[tex]p = 2(108) + 2(56) \\ = 216 + 112 \\ = 328 \: yards[/tex]
what is 3 1/3 - 1 1/2
Answers
Answer:1.833333
Step-by-step explanation:
In developing an interval estimate of the population mean, if the population standard deviation is unknown _____.
Answers
Answer:
the sample standard deviation and t distribution can be used
Step-by-step explanation:
PERSON WHO GETS RIGHT ILL GIVE BRAINLIEST! Which values from the given replacement set make up the solution set of this inequality? 3s>12; {4, 5, 6, 7}
{4}
{4, 5, 6}
{4, 5}
{5, 6, 7}
Answers
Answer:
{5,6,7}
Step-by-step explanation:
3s>12
divide by 3 on both sides and you get
s>4
so {5,6,7} is the only one that works since it needs to be greater than 4
sorry if I replied too late, but I hope this helps
Maria is riding her bike through the Red Rock Loop. Maria recorded her distance traveled at five different
points during her bike ride. The table of values below shows the results of her bike ride.
Answers
Answer:
MOoo
Step-by-step explanation:
MOoo
Can somebody help me as soon as possible I’ll give brainliest
Answers
In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is
Answers
Answer:
EG = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values
[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )
EG = 5 × 4 = 20
What is the area of a triangle with a base of √10 and a height of √13 Will mark brainliest
Answers
Answer:
the answer is shown on the photo!
Answer:
a=570
Step-by-step explanation:
correct sure
Y=1/3x-4 + Y=-7/3x+4
Answers
Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
6x + 34x - 6 =8(5x + 10)
Answers
[tex]6x+34x -6 = 8(5x+10)\\\\\implies 40x -6 = 40x +10\\\\\implies 40x -40x = 10+6 \\\\\implies 0 =16\\\\\text{Which is not true. So no solution.}[/tex]
slope 1/4 y-intercept 3 step by step
Answers
The answer is y=1/4x+3
A coin is tossed and the spinner is spun one possible outcome is H3 (heads, 3). What is the sample space for the experiment?
Answers
Supposing a spinner with 4 sides, the sample space is:
{H1, H2, H3, H4, T1, T2, T3, T4}
The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the coin, there are two possible outcomes: H or T.Supposing the spinner has 4 sides, there are four possible outcomes: 1, 2, 3, or 4.Hence, the sample space is:
{H1, H2, H3, H4, T1, T2, T3, T4}
For more on sample space, you can check https://brainly.com/question/25775544
The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?
40 feet
4/33feet
16/33feet
20/33feet
Answers
Explanation: 20/33 - 16/33 = 4/33
29 divided by 6 eeeeeeeeeeeee
Answers
Answer:
4.8333333
Explanation:
Answer 4.83
Step-by-step explanation:
what is 0.128 as a fraction
Answers
[tex]0.128 \\ = \frac{128}{1000} \\ = \frac{16}{125} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
16/125
Step-by-step explanation:
Write 0.128 as
0.128/1
Multiply both numerator and denominator by 10 for every number after the decimal point
(0.128 × 1000)/(1 × 1000) = 128/1000
Reducing the fraction gives
16/125
Which choice is equivalent to the product below?
v2.58
O A. 4./20
O B. 4/5
O C. 16.15
O D. 8/10
Answers
Answer: Choice B) [tex]\boldsymbol{4\sqrt{5}}\\\\[/tex]
Work Shown:
[tex]\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\[/tex]
The rule I'm using is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
Answer:
Option B
Step-by-step explanation:
√2 × √5 × √8
√2 × √5 × 2√2 [√8 = 2√2]
(√2 × √2) × √5 × 2
2 × √5 × 2
4√5
Option B is correct
In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000
Answers
Answer:
650 * (1.01)ˣ = P(x)
Step-by-step explanation:
One formula for exponential growth is
a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have
650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have
750/650 = b¹⁰
(750/650)^(1/10) = b
= 1.01441296377 (can round this to 1.01)
Therefore, after x years, the moose population can be represented by the equation
650 * (1.01)ˣ
he .......... be eating pizza.
Answers
He will be eating pizza
S + will + be + V_ing
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
4. What does ¾ + ¼ = ?
Answer in simplest form.
Answers
I’m not sure why you put the thing about Melanie there.
You are delt 1 card from a 52 card deck. Find the probability that you are not dealt a 10
Answers
Answer:
Step-by-step explanation:
There are 4 tens.
There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is
P(~10) = 48/52 which is quite high as you might imagine.
Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.
A. His puppy
Inches or Yards
B. A toy car
Yards or Centimeters
C. Width of his desk
Yards or Feet
D. His foot
Inches or Yards
Answers
B : centimeters
C: feet
D: inches
Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.
Answers
Answer:
Step-by-step explanation:
C = π d
3.14 d = 34.54
d = 11 yards
Answer:
Step-by-step explanation:
C = πD
D = C/π
D = 34.54 / 3.14
D = 11 yards
write as an expression: Fifteen more than the quotient of 24 and a number x. then evaluate when x equals 8
Answers
Answer:
18
Step-by-step explanation:
The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.
Help I need the answers ASAP
Answers
Answer:
304 and 512
Step-by-step explanation:
If .60 = N could you write the expression .60N
Answers
Answer:
N+60
Step-by-step explanation:
On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped
by a semi circle that has a diameter of 12 feet find the arc length of the semi circle to the nearest foot find the area of a semi circle to the nearest square foot
Answers
Step-by-step explanation:
Arc length formula is
[tex]s = rx[/tex]
where x is radinas.
A semi circle has a radian measure of
[tex]\pi[/tex]
The radius is half of the diameter, 12 so the radius is
[tex]12 \times \frac{1}{2} = 6[/tex]
So the arc length is
[tex]6 \times \pi = 6\pi[/tex]
Area of semi circle is
[tex] \frac{1}{2} \pi {r}^{2} [/tex]
where r is the radius.
[tex] \frac{1}{2} \pi6 {}^{2} [/tex]
[tex] \frac{1}{2} 36\pi[/tex]
[tex]18\pi[/tex]
Find the amount of an annuity that consists of 25 quarterly payments of $800 each into an account that pays 8% interest per year, compounded quarterly. (Round your answer to the nearest cent.)
Answers
Answer: 400
25 x 800 = 20,000 x 8% = 1,600 / 4 = 400
A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Which statement about rolling a 3 is correct?
The theoretical probability is 1/6. The experimental probability is 1/6.
The theoretical probability is 1/5. The experimental probability is 1/6.
The theoretical probability is 1/6. The experimental probability is 1/5.
The theoretical probability is 1/5. The experimental probability is 1/5.
Answers
Answer:
The theoretical probability is 1/6. The experimental probability is 1/5.
Step-by-step explanation:
Answer:
c for lazy goofy peoplee
Step-by-step explanation: