Answers
==========================================================
Explanation:
Focus on triangle HKL. This is a right triangle with the horizontal leg KL = 2. The vertical leg is the unknown side HK. The hypotenuse is HL shown by the single tickmark.
Triangle HKJ is also a right triangle. It shares the leg HK and the hypotenuse JH is congruent to HL as indicated by the single tickmark.
By the hypotenuse leg theorem, we can show that triangle HKL is congruent to triangle HKJ
From there, the corresponding pieces JK and KL must be the same length. So we can say JK = 2 because KL = 2.
-------------------------------
Now use the segment addition postulate
GK = GJ + JK
GK = 7 + 2
GK = 9
Focus now on triangle GKH and triangle MKH. We can prove these are congruent triangles using the hypotenuse leg theorem. Here HK = HK as mentioned before; also, GH = HM due to the double tickmarks.
As you can probably guess by now, the hypotenuse leg theorem only applies to right triangles.
Since triangle GKH is congruent to triangle MKH, we know that
GK = KM
Since GK = 9, this makes KM = 9.
---------------------------------
Therefore,
GM = GK + KM
GM = 9 + 9
GM = 18
Related Questions
-12+8yi=3x-i solve for x and y
Answers
Answer:
x = -4 + 8yi/3 + i/3, y = -3xi/8 - 1/8 - 3i/2
A local Little league has a total of 60 players, 80% of who are right-handed. Write and solve a proportion that could be used to determine how many of the players are right-handed.
Answers
Answer:
48 people are right handed. 12 are left handed
Step-by-step explanation:
80% of 60 is 48.
You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.
Which inequalities represent how much weight you can add to your bag?
W > 50 - 38
50 > W - 38
38 + w < 50
W < 50 - 38
Can you add both a 9-pound laptop and a 5-pound pair of boots to your bag without going over the weight limit?
Yes, the total being added is 4 pounds, which is a solution of the inequality
No, the total being added is 14 pounds, which is not a solution to the inequality
Yes, the added weight needs to be less than 38 pounds, and 9 plus 5 is less than 38.
No, the added weight needs to be at least 38 pounds, and 9 plus 5 is less than 38.
Answers
Answer:
Let the additional weight that can be added be = x
Current weight of the bag = 38 pounds
Total weight can be = 50 pounds
The equation becomes:
38+x < or equal 50
x < or equal 50-38=12
Hence, a weight of 12 pounds cab be added to the current wight.
Solve for x if 2(5x + 2)2 = 48.
Answers
Answer:
Answer 3.
Step-by-step explanation:
took the quiz on edge
Answer:
c
Step-by-step explanation:
Pls help this is a test and I can’t go back
Answers
Answer:
Its = -5
Step-by-step explanation:
i accedentaly wrote this
Answers
Answer:
uh
Step-by-step explanation:
Find the value of x?
Answers
Answer:
C
Step-by-step explanation:
The 2 base angles in the triangle are congruent thus the triangle is isosceles.
Then the 2 sides are congruent in an isosceles triangle, thus
x = 12 → C
When a baby was born, he weighed 5.2 pounds, After two weeks, he
weighs 7.8 pounds. What is the percent of increase in the baby's weight
from the time he was born to two weeks later? *
Answers
Answer:How much weight should newborns gain?
A healthy newborn is expected to lose 7% to 10% of the birth weight, but should regain that weight within the first 2 weeks or so after birth. During their first month, most newborns gain weight at a rate of about 1 ounce (30 grams) per day.
Step-by-step explanation:
WILL GIVE BRAINLEST!!!!!!!!!!!!!!! The three graphs represent the types of solutions that are possible for a system of equations. Which graph represents a system of equations with no solution?
Answers
Answer:
its the 2nd one
Step-by-step explanation:
just did it on edge
Solve the equation 3(x-6)+8=5x-6
Answers
Answer:
x=-10
Step-by-step explanation:
3(x-6) +8=5x-6=
3x-18+8=5x-6=
3x-10=5x-6=
3x-5x=10-6=
-2x=4
x=-2
Answer:
x = -2
Step-by-step explanation:
3(x - 6) + 8 = 5x - 6
Distribute;
3x - 18 + 8 = 5x - 6
Collect like terms;
3x - 10 = 5x - 6
Subtract 5x from both sides;
-2x - 10 = -6
Add 10 to both sides;
-2x = 4
Divide both sides by -2
x = -2
What is the length of WZ? *
WZ = 7.5
WZ = 17.5
WZ = 15
WZ = 12.5
Answers
Given the table. Answer the following questions given the original function f(x).
2.
3
5
6
X
-3
-2.
-
0
1
2.
3
4
5
f(x)
8
7
6
5
4
3
2
1
0
8
What is the value of f1(7)?
Answers
Answer:
f(x)
Step-by-step explanation:
PLEASE HELPP!!!
5, 18, 6, 18, 13 find the interquartile range (SHOW WORK)
Answers
Answer:
12
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
Firstly find the median of the data.
The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.
5, 6, 13, 18, 18 ← data in ascending order
↑ middle value
median = 13
The upper quartile Q₃ is the middle of the data to the right of the median
13, 18, 18
↑ middle value
Q₃ = 18
The lower quartile Q₁ is the middle value of the data to the left of the median
5, 6, 13
↑ middle value
Q₁ = 6
Interquartile range = Q₃ = Q₁ = 18 - 6 = 12
Tessa invests $5400
$
5400
in a new savings account which earns 5.2%
5.2
%
annual interest, compounded monthly. What will be the value of her investment after 8
8
years? Round to the nearest cent.
Answers
With Unparalleled Trading Conditions, Start Your...
What measurement is the quantity of mass per unit volume?
Volume
Temperature
Mass
Density
Answers
Answer:
i thank this will help sorry if this is not right it is density.Step-by-step explanation:
Raven needs new winter boots. Both ShoeTown and LaceUp shoe stores carry the boots she wants to buy. The boots are regularly priced $85.95, but both stores are running sales. ShoeTown has the boots marked down 15%. LaceUp has the boots marked down 10%, plus Raven has a $5 coupon she can use on the boots after the mark down is applied.Raven’s friend, Becca, tells Raven there is an online shoe store called Run, Don’t Walk that has the boots she wants for only $71.99. If Raven buys the boots in a local store, she will have to pay 7.16% sales tax on her purchase. If Raven buys the boots online, she won’t have to pay sales tax, but she will have to pay $6.50 for shipping.
Answers
Raven should buy the boots at Shoe Town because this offers the best final price.
To determine which one is the best store for Raven let's calculate the price in each case.Shoe TownTotal price:
Initial price - Mark down + Sales tax
85.95 - 15% + 7.16 %85.95 - 12.89 + 7.16 %73.06 + 7. 16%73.06 + 5.23 = 78.29Lace UpTotal price:
Initial price - Mark down - Coupon + Sales tax
85.95 - 10% - 5 + 7.15%89.95 - 8.99 - 5 + 7.15%80.96 - 5 + 7.15%75.96 + 7.15%75.96 + 5.43 = 81.39Run, Don't WalkTotal price:
Initial price + shipping
71.99 + 6.50 = 78.45
Learn more about price in: https://brainly.com/question/2289757
plz help me on this its due soon
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Solve the simultaneous equations:
5x+4y=5
2x+7y=29
Answers
Answer:
x=−3 and y=5
Step-by-step explanation:
Which of the following is the value of e^2 correct to 3 decimal places
A:73.890
B:7.3893
C:7.389
D:738.9
Answers
Answer:
C
Step-by-step explanation:
PLEASE I NEED HELP PLEASE 1. The table below shows 3 recipes for a fruit punch
flavored drink. Will all 3 recipes taste the same? (hint:
Write each ratio as a fraction then simplify to see which
are equivalent ratios)
2. Will any of them taste different?
✓
Be sure to use the vocabulary word: EQUIVALENT
RATIOS in your answer.
water
cups
1
3
4
12
1
6
18
OR
Answers
Answer:
1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent.
2. None of them will taste different as the ratios are same.
Step-by-step explanation:
First of all we have to write the three ratios as fractions to see if the ratios are equivalent ratios or not.
We will see the water to cups ratio
The ratios in fractional form are:
[tex]=\frac{1}{3}\\=\frac{4}{12}\\=\frac{6}{18}[/tex]
Putting all the ratios together
[tex]\frac{1}{3} = \frac{4}{12} = \frac{6}{18}\\\frac{1}{3} = \frac{1}{3} = \frac{1}{3}[/tex]
1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent. All the recipes will taste same.
2. None of them will taste different as the ratios are same.
A construction company uses the function f(x), where x is the number of people working on a project, to model the amount of money it spends to complete a project. What would a reasonable domain be?
All integers
Real numbers
Positive real integers
Positive integers
Answers
Answer:
Please use "^" to denote exponentiation: f(x) = x^2 + 3x + 5.
Because this is a polynomial, the domain consists of the set of all real numbers.
Step-by-step explanation:
Answer:
Positive integersStep-by-step explanation:
The domain is the people and the range is the money spent
People would be counted as positive integers, only the last answer choice considers this.
So the answer is:
Positive integersexplain how to do this problem the easy way my teacher didnt teach us this much of it
Answers
0. 1/5. 2/5. 3/5. 4/5. 1
——————————————
4/5 is closer to 1 so we can round it to 1.
1 8/9 can be separated into 1 + 8/9
Here is another number line
0. 1/9. 2/9. 3/9. 4/9. 5/9. 6/9. 7/9. 8/9 1
—————————————————————
8/9 is closer to 1, so we can round it to 1.
Now we have 1+1 = 2
The question asks us to multiply both fraction using the estimations.
So instead of,
4/5 x 1 8/9.
We use
1 x 2,
Which is =2
(So the answer is 2 or b)
6th grade math! Emily made 8 field goals in 25 attempts. What decimal represents the number of field goals she made?
Answers
Answer:
3.125
Step-by-step explanation:
I had use a calulator I'm sorry if I'm
Answer:
0.32
PLEASE MARK BRAINLIEST
4x < 2(x+5)
What is x
Answers
Answer:
so the answer must be 8
Step-by-step explanation:
4×-2(×+3)=8
please help me find what to plot for this (no decimals )
Answers
Answer:
(0, 6), (4, 5)
Step-by-step explanation:
graph (0, 6) first, then from those points go down -1 and over 4 to get (4, 5)
do you play fornite
9if yes then add me
r5qtrr
Answers
Answer:
i do but cant now
Step-by-step explanation:
(I’ll give brainliest) plz ASAP
Answers
Answer:
i can't read it, plz zoom in next time
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
Answers
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
Consider the line y = 3x - 1.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 3)
Find the equation of the line that is parallel to this line and passes through the point (-8, 3).
Answers
Answer:
y = -1/3x + 1/3
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The given line is
y = 3x - 1
This equation is written in the slope-intercept form, y = mx + b, where m is the slope.
slope of given line = m = 3
slope of perpendicular line = -1/3
Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)
y = mx + b
y = -1/3x + b
3 = (-1/3)(-8) + b
3 = 8/3 + b
9/3 = 8/3 + b
b = 1/3
y = -1/3x + b
y = -1/3x + 1/3
Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
Answers
Answer:
The equation in the slope-intercept form will be:
[tex]y=-\frac{5}{4}x+1[/tex]
Step-by-step explanation:
Given
slope = m = -5/4point = (8, -9)As we know that the equation of a line in point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -5/4 and point = (8, -9)
[tex]y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)[/tex]
[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]
Writing the equation in slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]
subtract 9 from both sides
[tex]y+9-9=\frac{-5}{4}\left(x-8\right)-9[/tex]
[tex]y=-\frac{5}{4}x+1[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=-\frac{5}{4}x+1[/tex]