Answers
Answer:
7x=42°
8x=48°
Step-by-step explanation:
Sum of all interior angles in a triangle=180°
90+8x+7x=180
90+15x=180
15x=180-90
15x=90
x=90/15
x=6
The measure of each acute angle is 42° and 48°.
what is an Acute angle?If an angle is less than 90 degrees, then it is called an Acute angle. Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Given there is a right triangle. since it's a right triangle angle one angle will always be 90 degrees.
Since the sum of all angles of any triangle is 180 degrees thus,
7x + 8x + 90 = 180
15x = 90
x = 6
since each acute angles were 7x and 8x
hence those angles would be 42 and 48 degrees.
therefore, Each acute angle is 42° and 48° in size.
Learn more about acute angles here:
https://brainly.com/question/10334248
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Related Questions
Which equation represents the pattern in the table?
Answers
Every kid in Mr. Levans's 3rd grade class made a valentine for every kid in the class, including themselves. If the class made a total of 484 valentines, how many kids are in the class?
Answers
Answer:
The answer is 22
Step-by-step explanation:
Solve the following expression 8 + (-20)
Answers
Answer:
-12
Step-by-step explanation:
integer rule = when a + and - comes it is indicated as - so ..
8-20 = -12
we put a minus sighnbecause 20 is the bigger number
Answer:
-12
Step-by-step explanation:
Note the rules of the signs:
If there are two positive signs next to each other, the resulting sign will be positive. Example + (+ ).
If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+ ) or + (- ).
If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (- ).
In this case, there is one negative, and one positive sign. Subtract 8 with 20:
8 + (-20) = 8 - 20 = -12
-12 is your answer.
~
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Answers
Answer:
The constant term in the expression is 7
plz give brainlist
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
am smart
I need help with this one it does not make scene
Answers
Step-by-step explanation:
[tex] {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)[/tex]
[tex]5 {x}^{2} - 4x - 8[/tex]
mia i was there for u all the time i literally helped u and ur mom pay off stuff and you tell me you dont wanna be friends anymore cus im black? thats so disgusting and hurtful bc a 7 yr friendship is down the drain because of my skin color ur dad is black inculding your grandpa so what do u mean just bc you look white dont mean u are ur mixed. so the fact u would even have the audacity to say that hurts me pretty bad and ik you wouldnt say that to ur dad.
Answers
Answer:
:( we will all be here for you m :)
Step-by-step explanation:
Answer:
Ong she woulda had to see the hand.
Step-by-step explanation:
...
Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question
Answers
Answer:
Jackie collected 61 coins and 20 stamps
Step-by-step explanation:
Solving (a): Variable representation
Let the coins be represented with c
Let the stamps be represented with s
Solving (b): Setup equation
Total is 81. This implies that:
[tex]s + c = 81[/tex]
Also:
[tex]c = 1 + 3s[/tex]
Solving (c): Solve the system
Substitute 1 + 3s for c in [tex]s + c = 81[/tex]
[tex]s + 1 + 3s = 81[/tex]
Collect Like Terms
[tex]s + 3s = 81-1[/tex]
[tex]4s= 80[/tex]
Divide both sides by 4
[tex]s = \frac{80}{4}[/tex]
[tex]s= 20[/tex]
Substitute 20 for s in [tex]c = 1 + 3s[/tex]
[tex]c = 1 + 3 * 20[/tex]
[tex]c = 1 + 60[/tex]
[tex]c = 61[/tex]
Solving (d): Solution statement
Jackie collected 61 coins and 20 stamps
Name the property illustrated. 69 + 0 = 69
Answers
Answer:
zero property of addition
Step-by-step explanation:
Please help desperate due today please help
Answers
The price of a pair of shoes increases from $52 to $80. What is the percent increase to the nearest percent?
Answers
Step-by-step explanation:
Price increase = $80 - $52 = $28.
Percentage increase = ($28/$52) * 100%
= 53.8% = 54%. (nearest percent)
Answer:
53%
Step-by-step explanation:
Help it due ASAP........
Answers
Answer: C. ∠5 and ∠6
Step-by-step explanation:
They are linear pairs meaning they form a straight line.
Angles that form a straight line are ALWAYS supplementary (they add up to 180°)
Hope this helped!
-4x + 7 = 11
I forgot how to do this and my little sister needs help
Answers
Answer:
-1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
-4x + 7 = 11
-7
-4x = 4
divide by -4
x = -1
Answer this correctly, and recieve brainliest!
Answers
Answer:
The last one or
a+8=16
Step-by-step explanation:
Subsitute a for 8 and solve
Answer:
Step-by-step explanation:
the last one
8+8=16
a+8=16
Subject:Mathematics
Answers
Blah blah blah 20 characters longggggg
Plz help me !!!!!!!!!!!!!
Answers
Answer:
It's D ...
hope it helps
I NEED THE ANSWER ASAP!!!
Answers
Answer:
I think the answer is J
Step-by-step explanation:
PLz help an show work for brainlist
Answers
Step-by-step explanation:
Its option D
As, for red $12 is charged
So 35 x $12 = 420
And white is $10
So, 20 x 10 = $200
= $420 + $200 = $620
Hope this helps
BRAINLIEST! URGENT! Please help me with this problem, also if you dont know the answer and just typed in some random stuff, it will be reported...dont steal points.
Answers
Answer:
The answer is C, -2/3
Step-by-step explanation:
Find x and y so that the quadrilateral is a parallelogram.
Answers
Answer:
Result:
The value of x = 12The value of y = 21Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
The value of x = 12The value of y = 21A company is designing a square prism. It's height is 3 yards longer than a side of its base. The volume of the prism must be 20 cubic yards. (V=l*w*h) Write a representative function for the volume of the solid
Answers
Answer:
l³+3l - 20 = 0Step-by-step explanation:
Given the volume of a prism expressed as;
V = lwh
l is the length of the prism
w is the width
h is the height of the prism
Since the prism is square based, l = w
The formula becomes
V = l²h
If its height is 3 yards longer than a side of its base, then h = l+3
V = l²(l+3)
V= l³+3l
Given V = 20yd³
The expression becomes
20 = l³+3l
l³+3l - 20 = 0
Hence the representative function for the volume of the solid is l³+3l - 20 = 0
Sam worked on his science fair project for 1/4 hour on Friday in 1/2 hour on Saturday what are the four common denominators which are less than 20 for the fractions complete exclamation
Answers
Answer:
there is 4, 8, 12, and 16. those are denominators
Solve the following system using the Elimination Method; 6x+y=10 and 2x+y=12.
Answers
Hey there!
The solution to the system is [tex](\frac{1}{2}, 13)[/tex]
To solve the system, we can multiply the second equation by -1:
[tex]-2x - y = -12[/tex]
Then, we add the two equations together, and solve for x:
[tex]4x = -2[/tex]
[tex]x = \frac{-1}{2}[/tex]
Now, we plug the x value into one of the equations, and solve for y:
[tex]2(\frac{1}{2} ) + y = 12[/tex]
[tex]-2 + y = 12[/tex]
[tex]y = 13[/tex]
Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]
Hope it helps and have an amazing day!
Answer:
(-1/2, 13)
Step-by-step explanation:
Multiply the 2nd equation by -1, obtaining the following system:
6x + y = 10
-2x - y = -12
------------------
Combine like terms, obtaining:
6x + y = 10
-2x - y = -12
------------------
4x = -2
Dividing both sides by 4 yields x = -2/4, or x = -1/2
Substituting -1/2 for x in the second equation yields:
2(-1/2) + y = 12, or
-1 + y = 12. Then y = 13, and the solution is
(-1/2, 13)
Markuo had 20 minutes to do a three-problem quiz. He spent 10 1 4 minutes on question A and 6 4 5 minutes on question B. How much time did he have left for question C?
Answers
Japanese students go to school about 66% of the
days of the year. About how many school days do Japanese students
have in a 365-day year?
Answers
Answer:
240.9 (241)
Step-by-step explanation:
66% of 365 is 240.9, which can be simplified to 241 days of 365.
24x0. 6x1. 21x2. 11x5
Answers
Answer:
24
6
42
55
Step-by-step explanation:
Answer:
24×0=0
6×1=6
21×2=42
11×5=55
Plzzzzz give me Brainliest!!!!!
Wendella the dog is weighed every week with her collar on. This weight in pounds is represented by p. The collar weighs 2 pounds. Which expression represents the weight of Wendella without her collar on?
Answers
Answer:
p - 2
Step-by-step explanation:
Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.
Answer:
take the 2 pounds off the dog's regular weight
52 ÷ 5 + (42 ∙ 2) – 36 ÷ 9
Answers
Answer:
Step-by-step explanation:
42x 2 = 84
52/5= 10.4
-36/9=-4
10.4+84-4=90.4
what is preferred stock
Answers
Answer:
A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.
Step-by-step explanation:
Here is an inequality 4y > 1.2 Which value of y from the { -0.5, -0.3, 0.3, .05 } makes the inequality true?
Answers
Answer:
[tex]y = 0.5[/tex]
Step-by-step explanation:
Given
[tex]4y > 1.2[/tex]
Required
Which value of y from [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex] makes the inequality true
First, we need to solve the inequality:
[tex]4y > 1.2[/tex]
Divide through by 4
[tex]\frac{4y}{4} > \frac{1.2}{4}[/tex]
[tex]y > \frac{1.2}{4}[/tex]
[tex]y > 0.3[/tex]
This means that the value of y that makes the inequality true is greater than 0.3.
From the list: [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex]
Only 0.5 is greater than 0.3.
Hence:
[tex]y = 0.5[/tex]
A person invests $6,650 in an account that earns 5.23% annual interest compounded continuously. Find
when the value of the investment reaches $15,000. If necessary round to the nearest tenth.
The investment will be reach $15,000 in approximately ______ years.