A triangle has two angles that measure 85 and 23. Which has to be the measure of the third angle?
95
∘
72
∘
157
∘
Please help me please please please
Answers
Step-by-step explanation:
Given :-A triangle have two angles that measures 85° and 23°.To Find :-Measure of the third angle.Solution :-Let the measure of the third angle of the triangle be x.
As we know that,
The sum of all three sides of a triangle is 180° which is the angle sum property of triangle.Therefore,
[tex] \sf \longrightarrow {\angle{A}\ +\ \angle{B}\ +\ \angle{C}\ =\ 180^{\circ}} [/tex]
[tex] \sf \longrightarrow {85^{\circ}\ +\ 23^{\circ}\ +\ x\ =\ 180^{\circ}} [/tex]
[tex] \sf \longrightarrow {108^{\circ}\ +\ x\ =\ 180^{\circ}} [/tex]
[tex] \sf \longrightarrow {x\ =\ 180^{\circ}\ -\ 108^{\circ}} [/tex]
[tex] \bf \longrightarrow {\underline{x\ =\ 72^{\circ}}}\ \bigstar [/tex]
∴ Hence, the measure of the third angle of the triangle is 72°.
Related Questions
Sur un tricycle, la petite roue a une circonférence de 56,55 cm et le rayon de la grande roue mesure 13 cm de plus que celui de la petite roue.
Combien de tours complets la petite roue effectue-t-elle pendant que la grande roue fait 10 tours ?
Answers
Answer:
Around 43 turns.
Step-by-step explanation:
HELP ASAP! Find solutions (MULTIPLE) for the equation:
6^x+2=8
E is a correct answer, I need help finding the others
(100 points!!)
Answers
Answer:
[tex]x = \frac{3in(2)}{in(6)} - 2[/tex]
Solving steps:
[tex]-›6 {}^{x + 2} = 8[/tex]
Apply exponents rule
[tex]-›(x +2)in(6) = in(8)[/tex]
Solve for (x + 2) in(6) = in(8)
[tex]-›x = \frac{3in(2)}{in(6)} - 2[/tex]
[tex]\\ \rm\rightarrowtail 6^{x+2}=8[/tex]
[tex]\\ \rm\rightarrowtail (6)^{x+2}=2^3[/tex]
[tex]\\ \rm\rightarrowtail ln6^{x+2}=ln2^3[/tex]
[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]
[tex]\\ \rm\rightarrowtail xln6+2ln6=3ln2[/tex]
[tex]\\ \rm\rightarrowtail xln6+2ln2+2ln3=3ln2[/tex]
[tex]\\ \rm\rightarrowtail xln6+2ln3=3ln2-2ln2[/tex]
[tex]\\ \rm\rightarrowtail xln6+2ln3=ln2[/tex]
[tex]\\ \rm\rightarrowtail xln3+xln2+2ln3=ln2[/tex]
[tex]\\ \rm\rightarrowtail (x+2)=\dfrac{ln8}{ln6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{ln8}{ln6}-2[/tex]
Another
[tex]\\ \rm\rightarrowtail (x+2)ln6=ln8[/tex]
[tex]\\ \rm\rightarrowtail (x+2)ln6=ln2^3[/tex]
[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]
[tex]\\ \rm\rightarrowtail x+2=\dfrac{3ln2}{ln6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{3ln2}{ln6}-2[/tex]
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
‐9−(‐12)= ‐9 + ___
=___
‐9−12= ‐9 +____
=___
Answers
Answer:
1st blank = 12
2nd blank = 3
3rd blank = (-12)
4th blank = (-21)
Step-by-step explanation:
for the first problem, just remeber that "minus a negitive, equals plus a positive" then -9 + 12, equals a positive 3.
and for the 2nd problem, when there is no negitive on the 2nd term, just remeber that if you change the sign in the middle, change the sign that follows. so that -9 - 12 then turns into -9 + (-12).
hope this helped!
I NEED HELP NOW PLS………………………………………..
Answers
Find the mssing length.
A. 64
B. 100
C. 12
D. 48
Answers
Answer:
48
Step-by-step explanation:
I do not have one sorry!
The value of the missing length in the triangle is b. 100
How to calculate the value of the missing lengthfrom the question, we have the following parameters that can be used in our computation:
The triangle
The height is calculated using the Pythagoras theorem as
h²= 60² - 36²
So, we have
h²= 2304
Evaluate
h = 48
Next, we have
(x -36) * 36 = 48 * 48
When evaluated, we have
x -36 = 64
So, we have
x = 64 + 36
Evaluate
x = 100
Hence, the value of x is 100
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Write each expression as a difference.
A) 7+3
B) a+5
C) a+b
Answers
Answer:
Two negative symbols combine to make a positive sign.
A) 7 - (-3)
B) a - (-5)
C) a - (-b)
A) 7 + 3 = 10 - (the difference is 10, subtract 0).
B) a + 5 = a - (-5) (difference is 'a', subtract -5).
C) a + b = a - (-b) (difference is 'a', subtract -b).
How to write each expression as a difference
To compose each expression as a difference, we ought to discover a proportionate expression within the shape of "x - y". Let's do that for each expression:
A) 7 + 3:
To speak to this as a contrast, able to rework it as follows:
7 + 3 = 10 -
B) a + 5:
To speak to this as a contrast, able to revamp it as takes after:
a + 5 = a - (-5)
C) a + b:
To speak to this as a contrast, able to rework it as takes after:
a + b = a - (-b)
In each case, we changed the given expansion expression into a contrast by including or subtracting a term with the inverse sign (e.g., including -5 to speak to +5 as a contrast).
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Solve 5x = 81.2.
Round to the nearest ten-thousandth.
Answers
Answer:
The value of x is 2.7320
Step-by-step explanation:
.
Answer:
5x = 81.2, in order to find out the value of x, we need to isolate the variable by performing inverse operations on both sides of the equation.
5x = 81.2, when we look at 5x we can see that x and 5 are being multiplied.
The inverse operation of multiplication is division so we divide by 5 from both sides:
5x = 81.2.
÷5 ÷5
x = 16.24, and now since they want us to round to the nearest ten-thousandths, it is not needed because it does not reach the thousandths place so your answer is 16.24.
We can also double check this by replacing x with the value we found:
5x = 81.2
5(16.24) = 81.2
81.2 = 81.2, so it is correct because both match.
Without putting the first card back, you pick a second card at random. 4, 5, 6, 7 What is the probability of picking an odd number and then picking an even number? Write your answer as a fraction or whole number
send help
Answers
Answer: 1/3
Step-by-step explanation:
the card is not being replaced, so it is a dependent event.
Event A: picking an odd number
There are 4 cards total, and 2 odd numbered cards.
P(A) = 2/4 = 1/2
Event B: picking an even number.
There are now three cards total, because the card from Event A was not replaced. There are two even numbered cards.
P(B) = 2/3
P(A+B) = P(A) x P(B)
P(A+B) = 1/2 x 2/3 = 2/6 = 1/3
The graph of a function h is shown below find h(2).
Answers
Answer:
i cant really see it but i think the answer is 5
Step-by-step explanation:
when you look at the graph go to where x is 2 then keep going up and whatever point it hits thats the answer
The graph of a function h is shown below h=5.
What is a graph?A graph may be defined as a pictorial representation or a diagram that represents statistics or values in an organized way. The points on the graph regularly constitute the connection among or greater things.
The angle in a straight line says that the sum of all the angles on a straight line is 180°.opposite vertical angle is the two opposite angles on a parallel line at the point of intersection.angle y=74° (opposite vertical angle).
The angle on a straight line is 180°y+z=180°
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There are 2 squares, 2 triangles, 2 hexagons, and 2 circles in a teacher’s bag of shapes. If a student randomly selects 1 shape from the bag, what is the probability that the student selects a circle?
Answers
Answer:
8
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
i had the question on a test
At the bake sale Sue sold 7 cakes for so each and 36 large cookies for $2 each. Which expression below will give the total amount, in dollars, that Sue received from these sales?
Answers
well I don’t know for the cakes but the expression would be 36 x 2 = and 7x since I don’t know the value for the cakes per.
A phone company advertises a new plan in which the customer pays a fixed amount
of $25 per month for unlimited calls in the country and $0.10 per minute for
international calls. If a customer paid 50 dollars, how many international minutes did
they use?
Answers
Answer:
it will take 30 minutesStep-by-step explanation:
obtain a formula
=> M = $0.10($p)+$25insert the value of p dollars
=> M = $0.10(50) + 25multiply 50 by 0.10
=> M = $5 + 25add 25 + 5
=> M = $30So it takes 30 minutes for international minutes Thank You
^_^
( I need help please….)
Answers
Step-by-step explanation:
the independent variable is "Time", as this simply processes independently of any number of people present.
the dependent variable is "Number of People" as this changes depending on the time of the day.
What is the value of c?
Answers
Answer: 51 degrees
Step-by-step explanation:
Angle sum of a triangle: 180 degrees
78 + 51 = 129
180 - 129 = 51
No results found for Evaluate when x = -3 and y= -1:
x-xy
A. -4
B. -3
C. 0
D. -6
Answers
Answer:
D
Step-by-step explanation:
-3 - (-3)(-1)
-3 - (3)
-6
How can you apply the rice method when left arm fracture
Answers
Ice: Cold will reduce pain and swelling. Apply an ice or cold pack right away to prevent or minimize swelling. Apply the ice or cold pack for 10 to 20 minutes, 3 or more times a day. After 48 to 72 hours, if swelling is gone, apply heat to the area that hurts. Do not apply ice or heat directly to the skin. Place a towel over the cold or heat pack before applying it to the skin.
Compression: Compression, or wrapping the injured or sore area with an elastic bandage (such as an Ace wrap), will help decrease swelling. Don't wrap it too tightly, because this can cause more swelling below the affected area. Loosen the bandage if it gets too tight. Signs that the bandage is too tight include numbness, tingling, increased pain, coolness, or swelling in the area below the bandage. Talk to your doctor if you think you need to use a wrap for longer than 48 to 72 hours; a more serious problem may be present.
Elevation: Elevate the injured or sore area on pillows while applying ice and anytime you are sitting or lying down. Try to keep the area at or above the level of your heart to help minimize swelling.
I WILL GIVE BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTT
Answers
Answer:
-1/3 is number one
Step-by-step explanation:
rearrange it so that instead of 19 - 9x = 22 it is -9x + 19 = 22 then subtract 19 from both sides of the equation then simplify.
Answer:
A
Step-by-step explanation:
solving the original equation
19 - 9x = 22 ( subtract 19 from both sides )
- 9x = 3 ( divide both sides by - 9 )
x = [tex]\frac{3}{-9}[/tex] = - [tex]\frac{1}{3}[/tex]
solving Maryanne's equation
- [tex]\frac{12}{5}[/tex] x + [tex]\frac{26}{5}[/tex] = 6 ( multiply through by 5 to clear the fractions )
- 12x + 26 = 30 ( subtract 26 from both sides )
- 12x = 4 ( divide both sides by - 12 )
x = [tex]\frac{4}{-12}[/tex] = - [tex]\frac{1}{3}[/tex]
solving Herb's equation
11 = 18x + 5 ( subtract 5 from both sides )
6 = 18x ( divide both sides by 18 )
[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex] = x
Only Maryanne's equation has the same solution as the original equation
Factor 4x2 + 15x - 54 -
Answers
Answer:
I believe the answer is (4x−9)(x+6)
Answer:
[tex]27x^{4}-x[/tex]
[tex]x^{3} +216[/tex]
[tex]x^{2} +6x+9[/tex]
Step-by-step explanation:
An algebra tile configuration. Outside of the configuration are the following tiles: x squared, x, negative x, , and negative. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 9 tiles are in the Product spot in 5 columns with 5 rows. First row: 1 x squared, 4 x. Below the x squared tile are 4 x tiles. What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles? x2 8x.
Answers
16
Step-by-step explanation:
The constant term would be 16.
how many combinations can be made with 3 coins?
Answers
Answer:
heads, heads, heads
tails, heads, tails
tails, tails, tails
heads, tails, heads
heads, heads, tails
tails, heads, heads
tails, tails, heads
heads, tails, tails
▬▬In Conclusion▬▬
8 combinations are possible.
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.
pls help
Answers
Step-by-step explanation:
Identify the cost of 125 miles;
[tex]125 \times 0.12 = 15[/tex]
$15 for 125 miles.
Subtract 150 and 15;
[tex]150 - 15 = 135[/tex]
(Money remaining)
Divide 135 by 25 to identify how many days she can rent the car;
[tex]135 \div 25 = 5 \frac{2}{5} [/tex]
5 2/5 decreases to 5 as you can't rent a car for 5 2/5 days.
Answer: She can drive 125 miles and rent the car for 5 days.
What is f(4) for the function f(x)=7x+1?
Answers
Answer:
29
Step-by-step explanation:
substitute 4 for x into the function so 7x+1 would be (7*4)+1
7*4=28
28+1=29
Stanley made a scale drawing of the middle school. The scale of the drawing was 5 inches : 9 feet. If the actual width of the gym is 72 feet, how wide is the gym in the drawing??
Answers
Answer:
30 in/ 2ft and 6in
Step-by-step explanation:
72 divided 9 = 8
8 x 5 = 30in
Answer: 40
Step-by-step explanation:
right on test
A fruit-drinking company tester a new flavor. In a taste test, 34% of the people taking part liked the new flavor. If 51 people liked the new flavor, how many people took the test? A. 34 B. 17 C. 150 D. 77
Answers
Answer:
C. 150
Step-by-step explanation:
The number of people who took the test is unknown, so call it x.
34% of x liked the flavor.
51 people liked the flavor.
That means that 34% of x is equal to 51.
34% of x = 51
0.34x = 51
x = 51/0.34
x = 150
Answer: C. 150
Find the length of AC. Round your answer to two decimal places.
Answers
Answer:6.43in
Step-by-step explanation:
12.5=-1.5+b/0.1 solve for b
Answers
Exact Form:b=11/10
Decimal Form:b=1.1
b=1 1/10
Solving the linear equation 12.5 = -1.5 + b/0.1, value of b is 1.4
What is an linear equation in one variable?Linear equation is an equation containing one unknown variable with power one and constants.
The standard form of an linear equation in one variable x is :
ax + b = 0 , where a, b are constants
x= -b/ a is solution of this equation or we can solve this equation by adding or subtracting same number to both sides.
To solve equation : 12.5 = -1.5 + b/0.1
Adding 1.5 to both sides
12.5 +1.5 = -1.5 +1.5 + b/0.1
14 = b/0.1
Multiply both sides by 0.1
0.1 *14 = 0.1(b/0.1)
1.4 = b
Therefore, the value of b on solving linear equation 12.5 = -1.5 + b/0.1 is 1.4
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solve missing side of triangle one side is 4cm and other 8cm
Answers
Answer:
Using the "Pythagorean Theorem" formula:
a^2 + b^2 = c^2 we can find the hypotenuse of this triangle.
Replace the values of a, b, and c with it's actual values;
8^2 + 4^2 = __^2 ← our missing value
64 + 16 = 80, now we need to find the square root of 80:
√80 = 8.944, which equals to around 8.9.
so to rewrite:
8^2 + 4^2 = 8.9^2, so 8.9 is your answer.
Question 6 of 10
What is the length of the altitude of the equilateral triangle below?
30"
6
6
a
60° 90°
3
60"
3
O
A. 613
O
B. 1
C. 6
Ο Ο O
D. 3
E. 3/5
O
F. 27
Answers
Answer:
The answer is B. 9
Use cosine rule. In this case, I am using SOH and the right triangle:
sin 60°= a ÷ 6 root 3
(6 root 3)(sin 60°)= a
a=9
Step-by-step explanation:
Guys I really need help with this it's an emergency!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2+2=?
Answers
Answer:
4!!!
Step-by-step explanation:
or 22
Mark me brainliest will ya!
Justin has į gallon of skim milk. He wants to distribute the amount of milk
he drinks evenly over the next 5 days. If milk costs $3 a gallon, what is the
value of the milk that Justin drinks in 1 day?
Answers
Answer:
.60 per day
Step-by-step explanation:
3 dollars / 5 days = 60 cents per day
5x.6=3