An angle measures 13.8° more than the measure of its complementary angle. What is the measure of each angle?
When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.
[tex]\qquad[/tex]____________________
Explanation :-Measure of an angle is 13.8° more than the measure of it's complementary angle. We are asked to find measure of each angle!Solution :-One of the complementary angles be "x" . Then the other angle becomes " (x + 13.8)° "Sum of these two angles is equal to 90° . Since they are complementary angles.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x\ +\ x\ +\ 13.8°\ =\ 90⁰} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x + 13.8° = 90° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 90° - 13.8° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 76.2° [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel{\dfrac{76.2°}{2}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = 38.1° }[/tex]
Then –
[tex]\qquad[/tex][tex] \bf \longrightarrow x +13.8° [/tex]
[tex]\qquad[/tex][tex] \tt \longrightarrow 38.1° + 13.8° [/tex]
[tex]\qquad[/tex][tex] \tt \longrightarrow 51.9° [/tex]
The measures of the two given angles is 38.1° and 51.9°.[tex]\qquad[/tex]______________________
The triangle and rectangle belowhave the same area what is the value of w?
(I[m Assuming W =10cm)
the formula for area of a triangle is 1/2 times the base (4 cm) times the height (5 cm) so the area of the triangle would be 10 cm. to find the area of the rectangle you would divide 10 by 4, which means that w=2.5 cm
How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger
Below the function h (x) ang g (x) are graphes. At which values of x is true that h (x) > g (x)? Select all that apply.
Answer:
25
Step-by-step explanation:
At x = 10 and 31 the value of the function h(x) is greater than g(x) thus options (A) and (D) are correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given graph of the function,
At x = 10 the h(x) > g(x)
At x = 31 the h(x) > g(x)
Hence "The value of the function h(x) is bigger than g(x) at x = 10 and 31".
For more about the function,
brainly.com/question/23712366
#SPJ2
5x + 3y = 18 solve for y
[tex]5x+3y = 18\\\\\implies 3y = 18 -5x\\\\\implies y = \dfrac 13(18-5x) = 6 - \dfrac 53 x[/tex]
Answer:
y=18-5x/3
Step-by-step explanation:
Hope this helps~
Have a great day
Zero
2
The triangle is reflected across the w-axis and then reflected across the r-axis.
What are the coordinates of p' the image of P after the reflections?
OA (3)
OB (3,4)
O a. 3.
O D. (4, -3)
Answer:
Step-by-step explanation:
P = (-4, 3)
Reflecting across the y axis negates the x value
P₁ = (4, 3)
Reflecting across the x axis negates the y value
P' = (4, -3)
option D
Ignore blue circles pls help guys!!
Answer:
y = 40 , 32 , 56 , -32 , -72
Step-by-step explanation:
Plug your x into your equation for the answer.
Brainliest would be appreciated. :-)
Work out the area of the shaded shape. Need answer ASAP
Answer:
Step-by-step explanation:
A = 3(6) + 2(5 + 3 + 2) = 38 m²
Pleaze help brainlyest
Which describes the probability of tossing an odd number greater than 5 on a number cube with faces labeled 1-6? certain, unlikely, likely, impossible
Answer:
impossible
Step-by-step explanation:
a cube with faces labeled 1-6 does not have an odd number greater than 5
find the mean of 90 100 100
Answer: 100
Step-by-step explanation:
[tex]\frac{90+100+110}{3}=\boxed{100}[/tex]
CAN YOU PLS HELP MEEEE
Answer:
10x−2y
Step-by-step explanation:
Just ask!
Hope this helps. :)
[tex] \: \: \: \: \: \: [/tex]
[tex]10x - 2y[/tex]
Step-by-step explanation:
[tex]8x - 2y + x + x[/tex]
Collect like terms[tex] = \: \: \: \: 10x - 2y[/tex]
hope it helpsA total of 180 students and 35 chaperones are going on a field trip to the Smithsonian Institution in Washington, D. C.
Write the ratio in simplest form.
the ratio of students to people on the trip
Answer:
36 : 43
Step-by-step explanation:
So, we have 180 : 35 + 180 in the students to people on the trip180 : 21536 : 43Therefore, the ratio of students to people is 36 : 43Samuel drives 144 miles in 2 1/4 hours. If he continues at the same rate, he will have driven
miles in 6 hours
Find number of miles driven in one hour:
144 miles / 2 1/4 hours = 64 miles per hour
Multiply by 6 hours:
64 x 6 = 384 miles
Answer: 384 miles
i need help with this question
Answer:
so its 4 just bc
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
5x + 40 + 2(2x + 20) + x = 360
10x + 80 = 360
10x = 280
x = 28
5x + 40 =? 180
140 + 40 =? 180
180 = 180
squared root of -100 =
Step-by-step explanation:
Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.
solution to the system
y=-x2-3x+2
y=x+6
Answer:
[tex]x=-2,y=4[/tex]
Step-by-step explanation:
[tex]y=-x^2-3x+2[/tex]
[tex]y=x+6[/tex]
[tex]x+6=-x^2-3x+2[/tex]
[tex]x^2+x+6=-3x+2[/tex]
[tex]x^2+4x+6=2[/tex]
[tex]x^2+4x+4=0[/tex]
[tex](x+2)(x+2)=0[/tex]
[tex]x=-2[/tex]
[tex]y=(-2)+6=4[/tex]
In a randomly generated list of numbers from 0 to 4, the chance that each
number can occur is 1/5? True or false
What is the sum of the 1st square number and the 4th cube
. Number
Answer: there is nothing here with the info i need 2 anwser this question srry.
Step-by-step explanation:
Answer:
i think it is 65
Step-by-step explanation:
the 4th cube number is 64 and the first square number is 1 64+1=65
however if you use the first square number as 4 then it is 68
In a video game, Adrien earns 5 bonus spins on each of the first three levels and 2 bonus spins on each of the next three levels. How many bonus spins does Adrien earn on all six levels?
Answer:
I think the answer is 21.
Step-by-step explanation:
So, there are 5 spins for 3 levels + 2 spins for another 3 levels. This would be 5(3)+2(3)
15+6
21
2. Kiant is having a sale on ketchup. All
ketchup is 70% of its original
price. You want to buy Meinz' ketchup with an original price of $8.90.
What is the sale price?
Answer: $2.67
Step-by-step explanation:
$8.90 - $6.23 = $2.67
Brainliest? Im just trying to get to a higher rank
At a sale this week, a digital camera is on sale for $547.40. This is a 57% discount off of the original price. What is the original price
Answer:
725.623
Step-by-step explanation:
547.40:?
43 :57
?=547.40×57÷43
What is the mean , median , and sum
Step-by-step explanation:
sum was the first name of integral
and the median is something in the middle
for example :
A . B . C
the median is B
NEED NOW PLEASE..........
Answer: C. -12 - 3 + 9
Step-by-step explanation:
-12 because the fish are 12 m below the ocean.
-3 because the fish swim down.
+9 because the fish swim up.
If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.
Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
⇛(2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ----------Eqn(1)
11 = a-3b
⇛ a-3b = 11 ------Eqn(2)
⇛ a = 11+3b-------Eqn(3)
On substituting the value of a in Eqn(1) then
⇛ 2(11+3b) + b = 1
⇛(2×11)+(2×3b) + b = 1
⇛ 22 +6b+b = 1
⇛ 22+7b = 1
⇛ 7b = 1-22
⇛ 7b = -21
⇛ b = -21/7
⇛ b = -3
On substituting the value of b in Eqn(3) then
⇛ a = 11+3(-3)
⇛ a = 11-9
a = 2
Therefore, a = -3 and b = 2
Answer:-The value of (a,b) for the given problem is (-3,2).
help help help help math math
Answer:
[tex]2916^3\\[/tex]
Step-by-step explanation:
As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]
But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]
And the radius is 9 half of Diameter
We would write it like this
= [tex]\frac{4}{3}3\cdot 9^3[/tex]
Then when we solve it would become [tex]2916^3\\[/tex]
I hope this helps :)
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h.
Which equation can be used to find the high temperature for that day?
56=h−14
56 = 14h
56 = h + 14
h + 56 = 14
Answer:10.9
Step-by-step explanation:
Tesses ging for a maik. She waiks 125 miles in 5 hours. What is her speed?
Answer:
25 miles/hour
Step-by-step explanation:
If you were to divide 125 by 5, you would get 25 miles per each hour as your answer. Brainless if I am correct.
Jack has 8 out of 10 questions correct. He said that he earned a 75% on his exam. Is he correct? Show why he is correct or incorrect.
Answer:
He is incorrect. He actually got an 80%
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] = 80%
I hope this helps!
Help me with this ice cream problem lol.
Answer:
A is correct
Step-by-step explanation: