Answer:
deductive reasoning
Step-by-step explanation:
- What value of x makes this equation true?
0.5x -8= 0.2x + 7
In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.
Given:
In ΔGHI, GI is extended through point I to point J.
[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]
To find:
The measure of angle GHI.
Step-by-step explanation:
According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.
Using exterior angle theorem, we get
[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]
[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]
[tex](6x-5)^\circ=(4x+21)^\circ[/tex]
[tex]6x-4x=21+5[/tex]
[tex]2x=26[/tex]
Divide both sides by 2.
[tex]x=13[/tex]
Now,
[tex]m\angle GHI=(3x+13)^\circ[/tex]
[tex]m\angle GHI=(3(13)+13)^\circ[/tex]
[tex]m\angle GHI=(39+13)^\circ[/tex]
[tex]m\angle GHI=52^\circ[/tex]
Therefore, the measure of angle GHI is 52 degrees.
which one is the coldest AMD why
Answer:
Raleigh.
Step-by-step explanation:
Just look for the Fahrenheit with the smallest number.
Answer:Raleigh
Step-by-step explanation:Your going to go for the smallest and I just took the quiz
A store sells 6 bottles of water for $2.88. Find the unit price
Answer:27 ://///
Step-by-step explanation:
Answer:
$.48 per bottle
Step-by-step explanation:
The unit price is the total price divided by the number of items
2.88/6
$.48 per bottle
What is the pattern in the numbers 2,3,5,7,11,13
Answer:
the number that repeat is number 2
Answer:
+1+2+2+4+2
Step-by-step explanation:
What is the distance, d, between the points (2,5/2) and (8/3,1)?
answer in the simplest radical form.
Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
I need help please :)
Answer:
see below
Step-by-step explanation:
f(x) = 4x-3
Let x=-4
f(-4) = 4*-4 -3 = -16-3 = -19
Let x=-3
f(-3) = 4*-3 -3 = -12-3 = -15
Let x=1
f(1) = 4*1 -3 = 4-3 = 1
Let x=4
f(4) = 4*4 -3 = 16-3 = 13
Let x=5
f(5) = 4*5 -3 = 20-3 = 17
Answer:
First one:-19
Second one:-15
Third one:1
Fourth one:13
Fifth one:17
HOPE THIS HELPS :)
Step-by-step explanation:
Suppose a recipe calls for 3 cups of sugar per 4 quarts of lemonade. How many cups of sugar are needed to make 10 quarts? Which setup would allow us to correctly solve the problem? (see image)
Answer:
7.5 cups of sugarStep-by-step explanation:
8 qts of lemonade calls for 6 cups of sugar; 2x of each.
2 qts of lemonade calls for 1.5 cups of sugar or half as much.
10 qts of lemonade calls for 7.5 cups of sugar
What is 805 x 4 and What is 3,220 divided by 4?
Answer:
805 x 4 = 3,220
3,220 / 4 = 805
Step-by-step explanation:
Its the same thing but backwards!
Stay Safe!
Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.
Answer:hi I believe is is Ben and Elizabeth
Step-by-step explanation:
15. Which of the following is an equation for the line that passes through
(-4,-3) and (-2, 3)?
Answer:
An equation for the question above is y = 3x + 9.
(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.
Answer:
x y
(Score for Question 2: ___ of 5 points)
help please i need answer i will like you and try to answer to your last quashen pls help
Answer:
Ok the so the answer is 103.075
Step-by-step explanation:
So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075
PLEASE HEART
How are 18:3 and 6:1 equivalent ratios
Answer:
You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.
18:3 and 6:1 are equivalent ratio because two ratios are in proportion
Given :
We are given with two ratios 18:3 and 6:1
We need to show that two ratios are equal
Lets take ration 18:3
Both 18 and 3 are divisible by 3
We can write the ratio in fraction form
[tex]\frac{18}{3} \\[/tex]
When we divide both top and bottom by 3 , we get
[tex]\frac{6}{1}[/tex]
we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]
Hence, the ratios are equivalent ratios
18:3 and 6:1 are equivalent ratios
Learn more : brainly.com/question/18431407
The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny.
Answer:
784
Step-by-step explanation:
My bad don't know how to explain..
Find the values for x so that the perimeter of this rectangle is no greater than 150 centimeters
2
In science class, Graciela noticed that the balance scale showed 2 ounces for a sample of matter and 56.7
grams for the same sample. She has a rock that weighs 708.75 grams but needs to know the weight in
ounces. Which proportion could Graciela use to find x, the weight of the rock in ounces?
rls, what
F
56.7
708.75
2
56.7
2 2.
56.7
78.75
708.75
H
2
708.75
56.7
y mile
J
708.7
2
56.7
Answer:
Step-by-step explanation:
If the scale showed 2 ounces for a sample of matter and 56.7grams for the same sample, then;
2 ounces = 56.7grams
If She has a rock that weighs 708.75 grams but needs to know the weight in
ounces, we can say;
x ounces = 708.75grams
Combining both equality postulates
2 ounces = 56.7grams
x ounces = 708.75grams
Cross multiply
56.7 × x = 2 × 708.75
x = (2 × 708.75)/56.7
The proportion is (2 × 708.75)/56.7
Calculate x:
x = 1417.5/56.7
x = 25
Hence the weight of the 708.75g rock in ounces is 25ounces
Use the Distributive property to find the product. 3x891=3(?-?)
Answer:
900,9
Step-by-step explanation:
distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673
4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week
Answer:
$218.50
Step-by-step explanation:
5.75×38=218.5
turn into dollars $218.50
At this point I’m just going to start singing songs ! For the caption
Answer:
[tex]the \: value \: is \:0.5 \: i.e\: option\:b[/tex]
Answer:
.50
Step-by-step explanation:
I am pretty sure
which complex number has a distance of v17 from the origin on the complex plain
Answer:c
Step-by-step explanation:
debate time : crab or lobster best answer gets brainliest
Suppose the population of a certain city is 4903 thousand. It expects to decrease to 4113 thousand in 50 years. Find the percentage decrease
Answer:
(3175-4035)/(4035)= -.213 so a 21.3% decrease
Step-by-step explanation:
wish I helped good luck mate
You have solved a radical equation. What should you do to check whether your proposed solution is correct?
You should check your proposed solution in any of the equations you found while looking for the solution.
You don't need to check whether your proposed solution is correct. You know you followed the proper method, so it should be fine.
You should check the proposed solution in the original equation.
You should check the proposed solution in the back of the book because it is always right.
Answer:You should check the proposed solution in the original equation.
Step-by-step explanation:
The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
You have solved a radical equation. Now, to check whether your proposed solution is correct You should check the proposed solution in the original equation.
Hence, the correct option is C.
Learn more about the Radical:
https://brainly.com/question/1369233
#SPJ2
1+1
Please, please, this is just to get to 20 words. lol
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
your welcome :}
If you lower your monthly payment, do you think the total interest you pay will increase or decrease? Why?
Answer:
increase
Step-by-step explanation:
Once Your Monthly Payment Has Been Lowered, More People Will Be Interested Do To Its Lower Payment.
Bob goes on a hike and walks at a pace of 2 1/2 miles per hour. Which rates are equivalent to 2 1/2 miles per hour? Select ALL that apply.
Answer:
Step-by-step explanation: !!DISCLAIMER IM NOT ALWAYS THE SMARTEST BUT IM PRETTY SURE THIS IS RIGHT!
!well what I did. You know that 60 minutes=one hour. So I put 2 & 1/2 over 60.
Make 2 & 1/2 a improper fraction=5/2.
So 5/2 over 60
Then divide. 5/2 divided by 60 ( which is 60/1)
Then leave change flip, meaning leave the 5/2 change the division sign to multiplication, and flip, which you would flip 60/1 to 1/60
So we have 5/2 times 1/60. Multiply across. 5 times 1= 5. 2 times 60=120
So we have 5/120
Now we simplify 120 divided by 5 = 24. And 5 divided by 5 = 1
So 1/24
That’s all I know.. I know it didn’t have the answers but I hoped it help a bit
Find the value of x.
Answer:
x=24
Step-by-step explanation:
The straight line is 180 degrees so 180-35=145.
Than do 145=6x+1 and find x
144=6x
144/6=24
x=24
Answer:
x=24
Step-by-step explanation:
180-35=145
6x+1=145
6x=144
x=24
what is 100,789,388,369,012 times 479,000,000
Answer:
4.8278117e+22
Step-by-step explanation:
A package of 3pairs of insulated gloves cost $17.97. What is the unit price of the pairs of gloves