Answers
Answer:
∠ 3 = 127°, ∠ 4 = 37°
Step-by-step explanation:
53° and ∠ 3 are adjacent angles and are supplementary, sum to 180°, so
∠ 3 + 53° = 180° ( subtract 53° from both sides )
∠ 3 = 127°
-----------------------------------------------------------
∠ 5 and 53° are corresponding angles and are congruent, so
∠ 5 = 53°
∠ 5, ∠ 4 and 90° lie on a straight line and sum to 180° , that is
53° + ∠ 4 + 90° = 180°
∠ 4 + 123° = 180° ( subtract 123° from both sides )
∠ 4 = 37°
Answer:
10. 127°
11. 37°
Step-by-step explanation:
We have two perpendicular angles and two diagonal angles.
The horizontal one, we will mark A.
The vertical one, we will mark B.
The lower diagonal, we will mark C.
The upper diagonal, we will mark D.
We can see that the diagonals are parallel.
Angle ∠ACat3* has an angle of 53°.
*There are two angles on AC. The "at3" part means that the angle is located at the mark of three.
Since line C is straight, the two angles that are split by line A will be supplementary*.
*Meaning that the angles will add up to 180°.
180 - 53 = 127
Angle ∠ACat3 has an angle of 127°.
So, for ten, 127° is your answer.
Now for eleven.
We know that A and B intersect, and make 90° angles. Let's flip this to the other side of A and B.
Angle ∠AB affects 4 and 5. This means that the angle of 4 plus the angle of 5 will be complementary*.
*Meaning that the angles will add up to 90°
Since we know that C and D are parallel, and that the bottom side is 53°, and that the angles will be complementary, we can subtract 53 from 90 to get our answer.
90 - 53 = 37
Angle ∠ACatBat4 has an angle of 37°.
So, for eleven, 37° is your answer.
Hope this helps. Have a nice day.
Related Questions
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answers
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
Learn more about similar triangles on:
https://brainly.com/question/11899908
38 is 90 percent of what
Answers
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
Does anyone know this?
16 − 7v < 2
Answers
Answer:u>2
Step-by-step explanation:
v>2
HELLPP PLZZ Which value from the set {3, 9, 24, 36} makes m(2^2 + 2^3 ) = 3 • 12 true?
Answers
Answer:
12*3 is 36 and (2^2 + 2^3 ) is 12 so you have to get 12 to 36
Step-by-step explanation:
which is 12 *3 so 3
The point (-4, -1), is the bottom of a triangle. Which point would it map to if the triangle was translated right 5 units and reflected about the x-axis.
Answers
Answer:
Step-by-step explanation:
(x,y)→(x+5,y)
(-4,-1)→(-4+5,-1)=(1,-1)
reflection about x-axis
(x,y)→(x,-y)
(1,-1)→(1,1)
Answer:
(1, 1)
Step-by-step explanation:
If we move the point (-4, -1) to the right 5 units, then we add 5 to the x value to give us (1, -1). We reflect (1, -1) in the x-axis, so we change the y value this time multiplying it by -1. The new point that (-4, -1) would be mapped onto would be:
(1, 1).
I hope this helps you!! ^-^
Which other expression has the same value as (-14 ) - 8? Explain your reasoning
a(-14) + 8
b14 - (-8)
c14 + (-8)
d (-14) + (-8)
Answers
CAN SOMEONE PLEASE HELP ME , THIS IS THE LAST QUESTION AND I ONLY HAVE 5 MINUTES LEFT TO ANSWER IT!!
Answers
Answer: x=1
Step-by-step explanation:
The triangle is a 45-45-90, so the formula states that the hypotenuse is 2 roots of x, so x is one.
please help, i am being timed!!
Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?
A) (7 times 5) (7 times 2)
B) (7 times 7 times 7 times 7 times 7) (7 times 7)
C) StartFraction 7 times 5 Over 7 times 2 EndFraction
D) StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Answers
the answer is D
hope that helps
Answer:
the answer is D
Step-by-step explanation:
tan A =
option 1: 40/9
option 2: 9/41
option 3: 40/41
option 4: 41/40
what is the correct answer?
Answers
Answer:
option 1: [tex]\frac{40}{9}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan A = [tex]\frac{40}{9}[/tex]
Answer:
Option 3
Step-by-step explanation:
So remember the formula for sine, cosine, and tangent: it's SOH CAH TOH. SOH is sine: opposite over hypotenuse. Cosine is CAH: adjacent over hypotenuse. Lastly, the one we're using today is tangent, TOH: opposite over hypotenuse. So for tan A, you look at the opposite side of angle A, which is side BC; the length is 40. Then you look at the hypotenuse, which is side AB; the length is 41. So, you get 40/41, which is option 3 as the answer. Hope this helps!
The square root of 14641 will have how many digits
Answers
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.
Answers
Answer:
I think it's A and D
Step-by-step explanation:
For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months
for option D, y would be the total amount of money spent and x would be the number of granola bars bought. total money spent = $0.23 × number of granola bars bought
Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.
In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change
pls helpp!!
the angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°
find the value of x
Answers
Given:
The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.
To find:
The value of x.
Solution:
We know that the sum of all interior angles of a quadrilateral is 360°. So,
[tex]x^\circ+(x+5)^\circ+(2x-25)^\circ+(x+10)^\circ=180^\circ[/tex]
[tex](5x-10)^\circ=180^\circ[/tex]
It can be written as
[tex](5x-10)=180[/tex]
[tex]5x=180+10[/tex]
[tex]5x=190[/tex]
Divide both sides by 5.
[tex]x=\dfrac{190}{5}[/tex]
[tex]x=38[/tex]
Therefore, the value of x is 38.
can someone help and explain with steps please
Answers
Answer:
4th root of 16
4 = index ; 16 = radicand
2
Step-by-step explanation:
⁴√16 is pronounced as the 4th root of 16
For expressions of this sort :
The index = 4
Radicand = 16
Sqareroot (√) is a radical symbol, and the number under the radical square root Symbol is called the radicand
Hence. The 4th root of 16:
⁴√16 ; using a calculator gives 2.
We could check our resukt by taking the 4th square of 2
2 * 2 * 2 * 2 = 16
8. Rene can type a research paper in 8 hours. Mario helped Rene in typing, and together they
finished in 6 hours. How long will it take Mario to finish the job alone?
A 20 hours
B. 22 hours
C. 24 hours
D. 26 hours
Answers
Two people paddle a canoe in a river flowing at a rate of 3 miles per hour, then they returned traveling upstream. The entire trip was 96 miles and the trip upstream took twice as long as the trip downstream. How fast did they row in still water? How many hours was the complete trip?
Answers
Answer:
72
Step-by-step explanation:
Answer:
speed in still water = 9 mph
total time = 12 hours
Step-by-step explanation:
speed = distance/time
distance = speed * time
Traveling downstream:
speed of river = 3 mph
speed of canoe in still water = v
speed of canoe going downstream = v + 3
distance = 96/2 = 48
time = t
distance = speed * time
48 = (v + 3)(t)
Traveling upstream:
speed of river = 3 mph
speed of canoe in still water = v
speed of canoe going downstream = v - 3
distance = 96/2 = 48
time = 2t
distance = speed * time
48 - d = (v - 3)(2t)
48 = (v + 3)(t)
48 = (v - 3)(2t)
vt + 3t = 48
2vt - 6t = 48
-2vt - 6t = -96
(+) 2vt - 6t = 48
------------------------
-12t = -48
t = 4
vt + 3t = 48
4v + 3(4) = 48
4v + 12 = 48
4v = 36
v = 9
speed in still water = v = 9 mph
total time = t + 2t = 3t = 3(4) = 12 hours
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answers
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
a) Length of a Rectangular playground is 15m and width of the playground is
12m.David wants to level the playground .How much area he has to level?
b) David will charge 3 pound for leveling of 1m square What will be the total
amount he will charge for leveling the playground.
Answers
Answer:
A. 180 m²
B. 540 pounds
Step-by-step explanation:
Area of rectangular playground = length × width
Length of a Rectangular playground = 15m
width of the playground =
12m
Area of rectangular playground = length × width
= 15m × 12m
= 180m²
B. 1m square = 3 pounds
What will be the total amount he will charge for leveling the playground.
Total cost of leveling the playground = 180 m² × 3 pounds
= 540 pounds
PLS,PLS,PLS,PLS HELP ME THIS QUESTION IS WORTH 10 POINTS. Which number sequence follows the rule add 4 starting from 2?
Answers
Answer:
Arithmetic sequence
Step-by-step explanation:
In an arithmetic sequence, the next term on the sequence is obtained by adding a certain value to the first term. This term that is added is uniform throughout the sequence. Once this term is added to the preceding term, the next term of the sequence is obtained. This term that is thus added is known as the common difference of the arithmetic sequence.
So the arithmetic sequence obtained by adding 4 starting from 2 is; 2, 6, 10, 14 .........
One banana cost $30 how many do 80 bananas cost
Answers
Answer:2400 ...
Step-by-step explanation:
Your friend incorrectly factors the expression below as 6x (5 - 2xy) Factor the expression correctly. what error did your friend make?
Answers
[tex]6x(2xy + 5) [/tex]
I WILL GIVE BRAINLYEST Which number is a solution of the inequality x less-than negative 4? Use the number line to help answer the question.
A number line going from negative 9 to positive 1.
–3
0
2
Answers
Answer:
a -5 Step-by-step explanation: Its the only answer thats
less then -4
Triangle with Angle of 68 degrees and a side of 21 what is the value of x
Answers
Step-by-step explanation:
angle=68
size=21
x=?
:.=68+21+×
=89=180-89
=91
:.×=91
Please help me i need help please
Answers
Server: Content Deleted; Error (673)
Came someone help me please
Answers
PLEASE HELP ME ASAP!!!
Answers
Answer:
5x6x7=210x2=420
Step-by-step explanation:
Zara, Sam, Shyla, and Ryan are playing a game with marbles. Match the statements with the number lines that represent their solutions.
Answers
Complete question :
Zara, Sam, Shyla, and Ryan are playing a game with marbles, Match the statements with the number lines that represent their solutions:
Two more than Shyla's score is less than 9.
Shyla's score is x;
Three times the number of marbles that
Zara has is more than 15. The number
of marbles Zara has is x;
Sam needs more than 6 points to quality
for the next level of the game. The
number of points Sam needs is x;
Two times Ryan's score is less than 12
Ryan's score is x
Answer:
x < 7 (third number line)
x > 5 (4th number line)
x > 6 (1st number line)
x < 6 (2nd number line)
Step-by-step explanation:
2 more than Shyla's score is less than 9 ; Shyla's score is x ;
x + 2 < 9
x < 9 - 2
x < 7 (third number line)
Three times the number of marbles that Zara has is more than 15. The number of marbles Zara has is x;
3x > 15 ;
x > 15 / 3
x > 5 (4th number line)
Sam needs more than 6 points to quality for the next level of the game. The number of points Sam needs is x;
x > 6 (first number line)
Two times Ryan's score is less than 12 Ryan's score is x;
2x < 12
x < 12 / 2
x < 6 (2nd number line)
Answer:
zara first
shyla second
sam third
ryan forth
Step-by-step explanation:
your welcome :)
what is the slope of the line with points (4, 4) and (-2,-5)
Answers
Answer:
the slope would be -1/2
Step-by-step explanation:
-5 - 4
= -1/2
-2 - 4
A cone has a radius of 10 inches and a height of 6 inches. What is the
volume of the cone to the nearest tenth in 3. Use 3.14 to approximate it
0628
O 125.6
O 1884
O 157
Answers
Answer:
Step-by-step explanation:
radius of cone and hemisphere are the same
volume of half sphere=(1/2)*(4/3)*
=(1/2)*(4/3)*3.14* (4*4*4=64)
=133.97333
=133.97
volume of cone= (1/3)h
=(1/3)*3.14**9 (4*4=16)
=150.72
total volume=133.97+150.72
=284.69
=284.7
Step-by-step explanation:
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answers
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96
A paper bag is 16 cm long, 5 cm wide and 20 cm tall. Inside the bag is a box that is 8cm long, 3 cm wide and 10 cm tall. How much space is left in the bag?
Answers
volume of paper bag= 16×5×20=1600cmcube
volume of box= 8×3×10= 240
space left = 1600-240= 1360cmcube
hope it helps