Based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
What are Complementary Angles?Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.
Angle 7 and angle 8 are complementary [given]
Angle 5 and angle 6 will also be complementary
Angle 5 ≅ angle 8 [given]
Angle 7 will also be congruent to angle 6
Measure of angle 6 = 29° [given]
Measure of angle 7 = 29°
Measure of angle 5 + measure of angle 6 = 90 degrees
Substitute
Measure of angle 5 + 29° = 90°
Measure of angle 5 = 90° - 29°
Measure of angle 5 = 61°
Therefore, based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
Learn more about complementary angles on:
https://brainly.com/question/16281260
#SPJ1
Need help with 11 and 10
Answer:
10: a
11: c
Step-by-step explanation:
10. Use the midpoint formula
[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5
11. 7 + 4 + 4 = 15
(add two fours because N is the midpoint)
Helppp
Helppppp please !!!!!!
Answer:
10
Step-by-step explanation:
g(n) = n² + 4 - n
if g(3), substitute 3 in the (n)
g(3) = 3²+4-3
g(3) = 10
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Plz answer this correctly to get more points
Answer: x = 30°
Concept:
Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.
An isosceles triangle is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.
The vertical angle theorem states that two vertical angles formed when two lines intersect each other are always equal to each other.
Solve:
Find the other base angle of the isosceles triangle.
Since there are two equal sides, we know that this is an isosceles triangle.
Since the definition said that the base angles are equal, the other base angle would also be x.
Find the value of x
According to the vertical angle theorem, two vertical angles formed by intersection are equal.
Just as angle x and 30°, are vertical angles formed by intersection, therefore, [tex]\boxed{x=30}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
[tex]f(x) = 2x^{2} +5x-2[/tex]
Answer:
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]
[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]
[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]
BRAINIEST AWNSER 100 points PLEASE HELP
The number 1 is the identity for multiplication. Do you think
that division has an identity? Explain your reasoning.
Answer:
Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.
Step-by-step explanation:
Slove 3(t-3)=5(2t-1)
Answer:
t = 7/-4 OR -1 3/4
Step-by-step explanation:
3(t - 3) = 5(2t - 1)
3t - 9 = 10t - 5
(3t - 3t) - 9 = (10t - 3t) - 5
-9 = 7t - 5
-9 + 5 = 7t (- 5 + 5)
-4 = 7t
-4/-4 = 7t/-4
t = 7/-4 OR -1 3/4
[tex]Helppppp0p00pppp[/tex]
Answer:
Step-by-step explanation:
If Anna's dad is 36 and is 9 times her age, then Anna's age is 36/9 which is 4.
Check yourself: Anna is 4. Her dad is 9 times her age and 4(9) = 36.
Can someone please solve this?
Answer: x = 3
Step-by-step explanation:
[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]
please help me please.
Step-by-step explanation:
For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).
Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)
Select all solutions to the equation (2. — 4)(x + 5) = 0.
x = -1/2
x = 1/2
x = -2
x = 2
x = -5
x = 5
Answer:
At, x=-5
Step-by-step explanation:
(2-4)(x+5)=-2×0
Which multiple of 10 is closest to 18?
Answer:
I think it is 20
step by step explanation
Multiples of 10:-
10×1=1010×2=2010×3=3010×4=4018 is closest to 20
Hence our answer is 20
Which of the following is a point of tangency on the circle below?
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
Use the following terms in the same sentence: hypothesis, controlled experiment, and variable
Answer:
The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.
write 32% as a fraction in simplest form
Answer:8/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
32/100 = 16/50 = 8/25
PLS HELP THIS IS WITH THE HELP OF SQAURES
Step-by-step explanation:
you heard of the Pythagoras formula for rectangular triangles ?
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.
so, in your case here we have therefore
x² = 8² + 6² = 64 + 36 = 100
x = sqrt(100) = 10
you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.
please help easy maths gradient thanks so much
Answer:
Y-2x=8
Y-x=8/2
Yx=4
Maths gradients
Answer:
b
Step-by-step explanation:
need help please cant understand this probplem
Answer:
No solution
Step-by-step explanation:
Distribute the right side of the equation.
This will make it 3/8f+1/2=3/8f - 18
And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions
Answer and Step-by-step explanation:
First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.
[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]
If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.
This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.
#teamtrees #PAW (Plant And Water)
I hope this helps!
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Step-by-step explanation:
17. 2(a+3b)-3(4a+b)
2a+6b-12a-3b
2a-12a+6b-3b
-10a+3b
correct answer is B.-10a+3b
18. simplify (,3a³-7a²+a)+(-6a³+4a²+8)
3a³-6a³-7a²+4a²+8+a
-3a³-3a³+a+8
correct answer is D. -3a³-3a³+a+8
Find a16 of the sequence 1, 6, 11, 16, ....
A. 81
B. 66
C. 76
D. 71
Answer:
C. 76
Step-by-step explanation:
Since the numbers add up by 5, you can use this equation. 5x-4. Plug in 16 for x to get the answer which is 76.
PLEASE HELP ME!!
algebraic terminology
Answer:
Step-by-step explanation:
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
Answer:
The measure of angle C is 92°
Step-by-step explanation:
In a quadrilateral opposite angles are supplementary (Angles add up to 180°)
So since we have two opposite angles already set up the equation:
(x+24)+(x+10) = 180
Combine like terms - x+x+24+10 = 180 → 2x+34 = 180
Cancel out the constant to solve for x: 2x+34-34 = 180-34
Divide both sides by 2 so x is isolated: 2x/2=146/2
Solve: x=73
Now that we know x = 73 we can find angle C by setting up the equation:
Let C represent the unknown angle of ∠C
73+15+C=180
Combine like terms: 88+C=180
Isolate C: 88-88+y=180-88
Solve for C: C=92
Write -93.74 as a mixed number.
find the value of 6!/3!
Answer:
120
Step-by-step explanation:
6!=1x2x3x4x5x6
3!=1.2.3
i need help asap please
Answer:
a.
MP3 player: 88%
Video game player: 92%
b.
MP3 player: 75 minutes
Video game player: 67 minutes
Step-by-step explanation:
a.
MP3 player
- Already has 40%
- Each 15 minutes additional 12%
--> An hour = (60/15)*12 = 48 (%)
--> After an hour charged = 40 + 48 = 88%
Video game player
- Already has 20%
- Each 10 minutes additional 12%
--> An hour = (60/10)*12 = 72 (%)
--> After an hour charged = 20 + 72 = 92 (%)
b. To charges 100 minutes:
MP3 player
100 = 40 + ((x/15*12)
--> x = 75 (minutes)
Video game player
100 = 20 + ((x/10*12)
--> x = 67 (minutes)
Help me pls i have to finish my homework i have more questions to post too
Answer:
8 and 32
Step-by-step explanation:
(19)
x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )
= 3³ ÷ 3 - 1
= 27 ÷ 3 - 1
= 9 - 1
= 8
-------------------------------------------------------------
(21)
12k - h² ( substitute h = 2, k = 3 into the expression )
= 12(3) - 2²
= 36 - 4
= 32
the perimeter of a triangle is 14x - 4. if two sides measure 3x - 2 and 5x + 3, then how long is the third side?
Answer:
6x-5
Step-by-step explanation:
14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5
Solve for x.
A. 7
B. 5
C. 0
D. 2
Answer:
5!
Step-by-step explanation:
2x+260=mB50
= 2(5)+260
=310
sq=5
A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
Calculate the number of litres of water in the tank
Answer:
SEE IMAGE FOR SOLUTION
HOPE IT HELPS
Step-by-step explanation:
900 litres