Does dividing the angle measures of a triangle change its shape?
For example, if I divide each angle measure of a triangle in half, will the triangle become smaller? Or does it not affect the size at all?
the diagram shows a ABCDEF 70× 90cm
Solution :
Tan 25° = C4/BC
=> 0.466 = CF/60
=> C4 = 27.96
A4² = AC² + C4²
AC² = 60² + 40² = 5200
CF² = 781.76
4F² = 5200 + 781.76
=> AF² =5981.76
=> A4 = 77.3
length A4 = 77.3 cm
Joe’s age is three times Aaron’s age and Aaron is six years older than Christina. If the sum of their ages is 149, what is Christina’s age? Joe’s age? Aaron’s age?
Answer
If Christina's age is = x
Aaron's age is = x + 6
Jeo's age = 3(x + 6 )
So, the sum of their ages can be write as,
[tex]x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24[/tex]
Also, they have given that the sum of their ages is 149
Therefore we can write a equation as,
[tex]5x + 24 = 149[/tex]
Now let's solve this and find the age of Christina
[tex]5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\ \frac{5x}{5} = \frac{125}{5} \\ x = 25[/tex]
Aaron's age is
[tex] x+ 6 \\ 25 + 6 \\ = 31[/tex]
Joe's age is
[tex]3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\ = 93[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
If you provide correct answers for a, b, and c I will give brainiest and obviously the points listed for this question.
chart represents number of years
a) Determine the amount of the required down payment.
b) Determine the amount of the mortgage.
c) Determine the monthly payment for principal and interest.
Answer:
Well...I think the answer is a) Determine the amount of the required down payment.
Explanation:
Hope it helps you..
B-but,if i am wrong.. J-just correct me, okay??..
(;ŏ﹏ŏ)
A-and, Y-your welcome in advance..
(;ŏ﹏ŏ)(ㆁωㆁ)
What is the slope of the line that passes through the points (4,8) and (-2,1) ?
Answer:
f(x) = 7/6
Step-by-step explanation:
First off, hello! This is my explanation to the provided answer,
You can use the slope formula, (or simply graph the points), y2 - y2 / x2 - x1.
This would give you: 1 - 8 / -2 - 4, meaning that you would get the answer: 7/6 as the slope.
Hope this helps, if you have any more questions please ask.
Find the value of x
Answer:
68
Step-by-step explanation:
x + x = 136
2x = 136
x = 136 / 2
x = 68
Answer:
• This triangle is isosceles hence two angles are equal.
• But, the sum of two interior angles are equal to the exterior angle.
[tex]{ \rm{x + x = 136 \degree}} \\ \\ { \rm{2x = 136 \degree}} \\ \\ { \boxed{ \rm{ \: \: x = 68 \degree \: \: }}}[/tex]
There is 1 inch of water in a pool. The water level is increasing at 0.75inches/ minute. Which linear equation represents the total depth of the water in inches after x minutes?
Answer:
y= 0.75x+1
Step-by-step explanation:
This is because there is already 1 in of water in the pool and the water level is increasing at a constant rate of 0.75 in per minute.
Hope this helps! :)
Answer: this person is right its y=0.75x+1
Step-by-step explanation: took test
Please help me solve this ASAP
Answer:
68.50 in
Step-by-step explanation:
first we are given the width and the length for the rectangle and so we know that 4 × 5x + 7 = 128
so we would now solve for x:
4 × 5x + 7 = 128
= 4 × 5x = 121
= 20x = 121
= x = 6.05
now we can plug in 6.05 for x and find the perimeter:
5(6.05) + 4 = 34.25
5(6.05) + 4 = 34.25
34.25 + 34.25 = 68.50
if the principal is 3500 the rate is 3% and the time is 3 years want is the answer
Charlie's age is 3 years less than twice Rylie's age. The sum of their ages is 30. Find their ages.
Answer:
Jan (x) is 19 and Tritt (y) is 11.
Step-by-step explanation:
2(11)-3 = 22-3 = 19 years old.
Someone help plz make sure it’s right will make brainiest :)
Answer:
y = -5/7(x) - 3/7
Step-by-step explanation:
1. We're already given the value of m in y = mx + b: -5/7. So, our equation looks like this so far: y = -5/7(x) + b.
2. To solve for b, the y-intercept, we use this formula: [tex]b = y_1 - m * x_1[/tex]
[tex]b = -4 - (-\frac{5}{7}) * (5)[/tex] [tex]b = -\frac{3}{7}[/tex]3. Now that we know the values of m and b, the equation looks like this: [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].
Therefore, the answer is [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].
PLZ HELP 30 points I put you as Brainliest Answer the following questions. Questions What is an amount between $2 and $10? (A) __________ What is an amount between $10 and $20? (B) __________ What is an amount greater than $50? (C) __________ What is your name? (D) _________________ What is the name of an item that you will buy only once? (E) _________________ What is the name of an item that you will buy more than once? (F) _________________ Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers. Word Problem (D) _________________ is going shopping for (E) _________________ and (F) _________________. The cost of (E) _________________ is (B) __________ and the cost of each (F) _________________ is (A) __________. If (D) _________________ can spend at most (C) __________, how many (F) _________________ can be purchased? Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line. Explain what the solution means in the context of the word problem. （；´д｀）ゞ
Answer:
What is an amount between $2 and $10? (A) __$8________ What is an amount between $10 and $20? (B) ___$12_______ What is an amount greater than $50? (C) ___$51______ What is your name? (D) ___you should put your name here______________ What is the name of an item that you will buy only once? (E) __Answers will vary-one example is a stand mixer._______________ What is the name of an item that you will buy more than once? (F) __Bread_________ Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers.
Today, you are buying two loaves of gluten free bread at $4 each for a total of $8. You are also buying a shirt that has your name on it for $12 and a stand mixer that costs over $51, but you're not sure how much more. How much are you spending today?
8+12+51 > x
x>71
Step-by-step explanation:
What is the square root of 64y16?
6 OF
O 4y4
4y8
8y4
O
O 8y8
HELP PLEASE I DON'T KNOW THE ANSWER I REALLY NEED HELP
Answer: S
Step-by-step explanation: flip the triangle and you'll see the answer.
A sum of money is shared amongst three friends, Shai, Toni and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive? HELLLLLLLLPPPPPPP
Answer:
Shai=192 Tony=160 Mara=288
Correct = Brainlest Abe digs a hole at a steady rate of 1 2/3 feet every hour. Consider ground level to be 0. What value represents the elevation of the hole relative to ground level after digging for 2 1/2 hours? Enter your answer as a simplified mixed number in the box. ft
Answer:
[tex]1~1/2[/tex]
Step-by-step explanation:
If he digs at a rate of [tex]1~2/3[/tex] feet every hour, and he needs [tex]2~1/2[/tex] hours, we want to find [tex](2~1/2)/(1~2/3)=(5/2)/(5/3)=(5*3)/(5*2)=3/2=\boxed{1~1/2}[/tex] feet.
Giving Brainliest for correct answer!
What is the slope of the line that passes through the points (10, 5) and (9,5)? Write your answer in simplest form.
Answer:
Slope = 0
Step-by-step explanation:
Equation: y = 5
Since the graph would show a horizontal line (passing through 5) the slope would be zero
Road Sign
The U.S. Department of Transportation determines the sizes of the trafic control signs that you see along the roadways. The square Pennsylvania state route sign at the right has an area of 1296 square inches. Find the side length of the sign.
(I need an answer and how to solve it please<3)
Answer:
A = S square (s^2)
we know that A = 1296 square inches, then,
[tex]\sqrt{1296} = \sqrt{s^{2}} \\[/tex] we square both sides and cancel out the square on the right side. We get:
36 = s
The length of the sign is 36 inches.
Step-by-step explanation:
Find the unknown sizes of angles in the following figure (I need step by step explanation and ill give brainliest):
Answer:
∠p, ∠q, and ∠r are all 40°
Step-by-step explanation:
ARQ is a triangle so the sum of the interior angles must equal 180°
48 + 52 = 100
180 - 100 = 80°
This means that the last angle, 2p = 80°
If 2p = 80, then ∠p = 40° (divide by 2)
PQR is also a triangle which means PR is a straight line
The angle next to 2p is going to be 100, because 2p was 80 and angles on a straight line add to 180° (180 - 80 = 100)
∠r = ∠p because they are alternate angles (in the sideways Z shape), 40°
∠q can be found by doing:
180 - (∠PAQ + ∠r)
= 180 - (100 + 40)
= 180 - 140
= 40
convert the following equation into standard form.
y= -7x/8 + 4
An animal shelter worker recorded in the table below the amount of food, in pounds, fed to the animals over a four-day period.Pounds of Food for Shelter AnimalsFridaySaturdaySundayMondayCats6.58.8754.16.25Dogs8.454.6253.25.8Rabbits1.22.42.1252.125On which day were the animals fed the most food?FridaySaturdaySundayMonday
Step-by-step explanation: I added all of them and Friday was the biggest number with 16.15
will give brainliest answer
Answer:
5/7
Step-by-step explanation:
:) hope this helps
does anyone know how to do this asap! with a full explanation please !!! thank you have a great day !!
Answer:
60 degrees
Step-by-step explanation:
I see 3 lines in the graphic.
1 horizontal line that gets crossed by 2 other lines - one at a 25 degree angle (and that line ends at the crossing point), and one at 60 degrees.
so, above and below the horizontal line, the line with 60 degrees and x degrees is the same line.
and therefore, as per the laws of crossing lines, the angles above and below the crossed line must be the same. they are just left-right mirrored.
therefore, x must be the same as the diametrically opposing angle above the horizontal line. and that is 60 degrees.
12.4 x 2/8 need help
Answer: 3.1
Step-by-step explanation:
Firstly, let's put 2/8 as a decimal. If we simplify 2/8, it would be 1/4. And what is the decimal of 1/4? 0.25
Now that we've got our decimals it would be easier to calculate.
12.4 * 0.25 = 3.1
Which expression is equivalent to
3
r
−
6
+
r
3r−6+r?
Answer: 3(r-2)
Step-by-step explanation: found it online
Need help ASAP 50 points ?!!!
Answer:
f(x) = 8 + x
f(5) = 8 + 5
[What I just did there: I replaced x with 5]
f(5) = 13!
Answer: sorry took look long F(5)= 13
Step-by-step explanation:
how can you show 198,000 as a power of 10 using an exponent? HURRY PLEASE
Answer:
1.98 × 10^5
Step-by-step explanation:
May be wrong though
Given the points (-2,-3) and (4,-6) what is the equation of the line
Answer:
The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.
Step-by-step explanation:
Write an equation perpendicular to y = −1/5x + 9 that passes through the point (-2, -2) in slope intercept form. (y = mx + b)
What is the perpendicular slope?
Answer:
y = 5x + 8
m = 5
Step-by-step explanation:
ok so perpendicular means negative reciprocal of the slope so the original slope of the line is -1/5x so the negative reciprocal is 5 (5/1 and the negative undos the negative so it's positive) so now we will use the point (-2, -2) and plug that into the slope intercept form (y = mx+b)
so -2 = 5(-2) + b
5 • -2 = -10 and u add that to the other side so b = 8 so the answer is y = 5x + 8! hope this helps!
For every 7 females at university, there are 3 males. If there are approximately 9500 females, approximately how many total students attend the university? Round to the nearest hundred.
Answer:
13571 total
13600 to nearest hundred
Step-by-step explanation:
7+3 = 10 = distribution total
9500 / 7 = 1357.14286 one part
1357.14286 x 3 = 4071.42858 = 4071 males
1357.14286 x 10 = 13571.42 is the same as
9500 + 4071 = 13571 total
= 13600 to nearest hundred