Answers
Answer:
m∠EFD = 90°
m∠EHF = 127°
m∠HFG = 56°
m∠G = 71°
m∠E = 19°
Step-by-step explanation:
From inspection of the given diagram, line segment GD is a straight line and m∠EFG= 90°.
Angles on a straight line sum to 180°:
⇒ m∠EFG + m∠EFD = 180°
⇒ 90° + m∠EFD = 180°
⇒ 90° + m∠EFD - 90° = 180° - 90°
⇒ m∠EFD = 90°
Angles on a straight line sum to 180°:
⇒ m∠EHF + m∠FHG = 180°
⇒ m∠EHF + 53° = 180°
⇒ m∠EHF + 53° - 53° = 180° - 53°
⇒ m∠EHF = 127°
From inspection of the given diagram, m∠EFH and m∠HFG form a right angle:
⇒ m∠EFH + m∠HFG = 90°
⇒ 34° + m∠HFG = 90°
⇒ 34° + m∠HFG - 34° = 90° - 34°
⇒ m∠HFG = 56°
Interior angles of a triangle sum to 180°:
⇒ m∠HFG + m∠GHF + m∠G = 180°
⇒ 56° + 53° + m∠G = 180°
⇒ 109° + m∠G = 180°
⇒ 109° + m∠G - 109° = 180° - 109°
⇒ m∠G = 71°
Interior angles of a triangle sum to 180°:
⇒ m∠E + m∠EFH + m∠EHF = 180°
⇒ m∠E + 34° + 127° = 180°
⇒ m∠E + 161° = 180°
⇒ m∠E + 161° - 161° = 180° - 161°
⇒ m∠E = 19°
Answer:
b
Step-by-step explanation:
Related Questions
The process by which information is encoded, stored, and later retrieved is called
a. intellect b. cognition c. memory d. perception
Answers
Answer:
Memory is the process(cognitive) in which information is encoded,stored and retrieved.
Solving Two Step Equations
3 (x +1/3 = 3) 3
Answers
Answer:
add 3 to 3 getting 6 put that over 1 then distribute. 6/1(x+1/3=3)
6x + 2 = 18
now subtract both sides by 2
6x = 16
and divide
x= 16/6
simply by diving by 2
x = 8/3
1/2 (3g - 2) = g/2 I need help
Answers
Answer:
g = 1
Step-by-step explanation:
1/2 (3g - 2) = g/2
3g - 2 = g
3g = g + 2
3g - g = 2
2g = 2 ÷ 2
g = 1
Determine the cost of the two services will be the same amount and what the price will be? The struts family is deciding between two lawn care services green lawn charges a $49 startup fee plus $29 per month the yard guards charges a $25 start up fee plus $37 per month
Answers
Answer:
$136
green lawn
A cube has edge length 11 inches. Just type the number of the answer.
What is the volume?
cubic inches
What is the surface area?
square inches
Answers
Answer:
1331³
..
...................
The range of an ambulance service is a circular region bounded by the equation x^2 + y^2 = 400. A straight road within the service area is represented by y = 3x + 20. Find the length of the road that lies within the range of the ambulance service (round your answer to the nearest hundredth). Recall that the distance formula is [tex]d=\sqrt{x(x2-x1)^2+(y2-y1)^2[/tex]
Answers
The straight road crosses the boundaries of the range of the ambulance service at two points
The length of the road that lies within the range of the ambulance service is approximately 37.95
Reason:
The function that represents the ambulance circular service area is x² + y² = 400
The equation that represents the straight road, y = 3·x + 20
Required:
Length of the road that lies within the range of he ambulance
Solution:
The length of the road is given by the distance between the intersection
points of the road and the ambulance service region as follows;
At the intercepts, we have;
The x, and y-values of the line and the circle are equal, therefore, we have;
At the intercept, y = 3·x + 20, which gives;
x² + y² = 400
x² + (3·x + 20)² = 400
x² + 9·x² + 120·x + 400 = 400
10·x² + 120·x + 400 - 400 = 0
10·x² + 120·x = 0
x² + 12·x = 0
x² + 12·x = x·(x + 12) = 0
x = 0, or -12When x = 0, y = 3×0 + 20 = 20
When x = -12, y = 3×(-12) + 20 = -16
The intersection points of the line and the circle are;
A(0, 20), and B(-12, -16)The length of the segment AB, d, is given as follows;
d = [tex]\sqrt{((-12) - 0)^2 + (-16 - 20)^2} = \sqrt{1440} =12 \cdot \sqrt{10}[/tex]The length of the road that lies within the range of the ambulance service, d, given to the nearest hundredth = 12·√(10) ≈ 37.95
Learn more here:
https://brainly.com/question/23312419
Suppose line g is the line with equation y=x. Given A(9,-5), B(6,3), and C(-1,-6), what are the coordinates of the vertices of A'B'C' for the reflection?
(type an ordered pair)
A'=___
B'=___
C'=___
Answers
Answers:
A ' = (-5, 9)
B ' = (3, 6)
C ' = (-6, -1)
=====================================================
Explanation:
When reflecting over the line y = x, we swap the locations of the x and y coordinates. For example, the point (5,7) becomes (7,5)
This means we have the following reflections
A(9,-5) moves to A ' (-5, 9)B(6,3) moves to B ' (3, 6)C(-1,-6) moves to C ' (-6, -1)This operation is commonly done when determining the inverse of a graph. This is because the inverse basically undoes everything the original function applies. So this "backwards" nature of things means that x becomes y and vice versa.
6 identical bags and 3 identical shirts cost 126. 3 such bags cost as much as 2 shirts. what is the cost of one such shirt ?
Answers
Answer:
18
Step-by-step explanation:
Write the information algebraically:
6b + 3s = 126
3b = 2s
(b = bags, s = shirts)
The second line in bold means that we can replace 6b with 4s
3b = 2s (multiply both sides by 2)
∴ 6b = 4s
so, 4s + 3s + 126
Now simplify:
7s = 126
We can now find s by dividing both sides by 7:
s = 126 ÷ 7 = 18
1 shirt costs 18
answer to this math qustion
(52−24)⋅12÷(30+2⋅3)
Answers
Answer:
9[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
(52−24)⋅12 ÷ (30+2⋅3) = 28⋅12 ÷ (30+6)
= 336 ÷ 36
= 9.333333333 = 9[tex]\frac{1}{3}[/tex]
Answer:
9 1/3
Step-by-step explanation:
(52−24)⋅12÷(30+2⋅3)
(28) * 12 / 36
28 * 1/3 = 9 1/3
Mary spent three fourths of her allowance at the mall. One half of that was spent on snacks. If Mary’s allowance was thirty dollars, how much did she spend on snacks?
Answers
Answer:
$11.25
Step-by-step explanation:
Divide 30 by 4
30/4=7.50
multiply by 3
7.5*3=22.50
22.50 is 3/4 of her allowance
divide that by half to get how much she spent on snacks.
22.50/2=11.25
Hope this helps!
In a car park the ratio of black cars to red cars are 3:4 If there are 12 black cars in the car park how many red cars are there?
Answers
12 divided by 3= 4
Red cars = 4x4=16
16 red cars
Janet can shovel snow from her driveway in 30 minutes. Tom can do the same job in 40 minutes. How long would it take
Janet and Tom to shovel the driveway if they worked together?
Answers
Answer: over 23 mins a little bit 23.157
Step-by-step explanation:
Smart
Given: 9yº Simplify the expression for y= 3. (show your work and explain your reasoning.)
the circle is a 0 btw
Answers
The relationship between the number of pounds (lb) of beef and the total cost
in dollars is shown in the graph. What is the unit price of beef?
1 lb/$10
$20/2lb
$10/1lb
$1/10lb
Answers
Answer:
C
Step-by-step explanation:
I got it right :)
Can someone plss help me with this!!
QUESTION: b(a-6)
Answers
is the solution to the problem
Answer:
ba-6b
Step-by-step explanation:
you transfer ba to 6b
I need help please.
Answers
9514 1404 393
Answer:
a) 191 yards
b) 40 yards
c) 1.5 minutes
Step-by-step explanation:
Given:
ΔPQR is a right triangle with the right angle at Q
PQ = 40 yards; QR = 70 yards
M is the midpoint of PR
jogging rate is 150 yd/min
Find:
a) the perimeter of ΔPQR to the nearest yard
b) QM to the nearest yard
c) the time to jog the path PQMRQP to the nearest tenth minute
Solution:
a) The length of PR can be found from the Pythagorean theorem:
PR² = PQ² +QR²
PR² = 40² +70² = 6500
PR = √6500 ≈ 80.62 . . . . yards
Then the perimeter is ...
perimeter = PQ +QR +PR = 40 +70 +80.62 ≈ 191 yards
__
b) Segment QM divides triangle PQR into two isosceles triangles: PMQ and RMQ. The lengths MP, MQ, and MR are all equal to half the length of PR.
QM = PR/2 = (80.62 yd)/2 = 40.31 yd
QM ≈ 40 yd
__
c) The segments of path PQMRQP can be grouped to simplify the computation of the path length
PQMRQP = PQ +QM +MR +RQ +QP = PQ +(PQ +QR +(QM +MR))
Since QM +MR = PR, the length in the outer parentheses is the perimeter of the triangle. Then the jogger's total path length is ...
PQ + perimeter(ΔPQR) = 40 yd +191 yd = 231 yd
The time it takes to jog that path is ...
time = distance/speed
time = 231 yd/(150 yd/min) = 1.54 min ≈ 1.5 min
It takes about 1.5 minutes.
Determine which of the following equations define a function. For those that do not,
state the reason for your answer.
x +3=0
Answers
A vertical line has undefined slope because all points the line have the same x-coordinate.
A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).
Remember that a function can only take on one output for each input. Since a vertical line has the same x-coordinates for all values of y-coordinates, then it means that it is not a function.
Please mark my answers as the Brainliest if you find this explanation helpful :)
Find the slope of the line that passes through the points -2,-2 and -10,-9
Answers
Answer:
7/8
Step-by-step explanation:
the equation for finding a slope is (y2 - y1) / (x2 - x1)
basically it's the second y minus the first y all divided by the second x minus the first x
-9 - (-2) / -10 - (-2)
-7 / -8
7/8
Ashley and Keely shared some Hershey Kisses in the ratio of 5:2. If Keely had 12 Hershey Kisses, how many did Ashley have?
Answers
Answer:
Ashely had 30 kisses! Muah!
Step-by-step explanation:
Ratio of Ashely to Keely is 5 : 2 and we know Keely had 12. Keely represents the 2 in this ratio, and how do we get from 2 to 12? We multiply by 6. We have to multiply by 6 on the other side too then. 5 times 6 is 30, so Ashely had 30 hershey kisses.
In real life, not in ratio form, Ashely had 30 kisses and Keely had 12.
Please mark brainliest if possible, have a nice day! :)
____× 3 × 4= 24 __=___
Answers
Answer:
2×3×4=24
Step-by-step explanation:
2×3=6----> 6×4=24
How can I help you with the last two blanks after the 24?
Answer:
2 x 3 x 4 = 24
24 = 24 True
Step-by-step explanation:
I used a calculator :)
>
A restaurant investigated the correlation between prices and the number of customers. The linear model below represents this situation,
where x is the average meal price [in dollars), and y is the number of daily customers. Interpret the slope.
y = 437 – 18.5
OA. The average price per meal is $18.
B. The average number of daily customers is 18.
Oc. If the average meal price decreases by $1, the number of daily customers decreases by 18.
D. If the average meal price increases by $1, the number of daily customers decreases by 18.
Answers
I'm not in highschool but I did the math I think it's 18
Answer:
The Answer is D
Step-by-step explanation:
437-18.5=419.5
Can someone plss help me with this!!
QUESTION: How do we communicate to a computer and what to put on a web page?
Answers
Answer:
Using the Internet, computers connect and communicate with one another, primarily using the TCP/IP (Transmission Control Protocol / Internet Protocol). Think of TCP/IP as a book of rules, a step-by-step guide that each computer uses to know how to talk to another computer.
Using the numbers -5, 9, -2, 11, and -4, and the operations add and subtract, what is the largest possible answer you can make?
Answers
11+9=20-5-2-4=9
The largest possible value we can make using subtraction and addition from the given numbers -5, 9, -2, 11, and -4 is 31.
What are subtraction and addition?A mathematical operation that represents combining objects into a larger collection is called addition.
It is denoted by the plus sign (+).
A mathematical operation that represents the process of finding the difference between numbers is called subtraction.
It is denoted by the minus sign (-).
We have,
-5, 9, -2, 11, and -4
The largest possible value we can get is by using sign multiplication.
[ Negative x Negative = Positive ]
We will use addition and subtraction wherever necessary to make all the numbers positive.
= 9 - ( -5 ) - ( -2 ) + 11 - ( -4 )
= 9 + 5 + 2 + 11 + 4
= 31
Thus the largest possible value we can make using subtraction and addition from the given numbers is 31.
Learn more about additions and subtractions here:
https://brainly.com/question/1292482
#SPJ2
in which expressions with exponents be multiplied ? ill give you brainliest fr. or however you spell it
Answers
Answer:
7^3 x 7^8
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
what is the effect when a number is added or subtracted to the x (in the bracket)of equation of basic parabola?
Answers
simplify 13-2×8+4-(-20)
Answers
Answer:
13 - 2 × 8 + 4 - (-20) = 21
Step-by-step explanation:
I used a calculator, let me know if im incorrect
0.9/0.5 = a/10 Plz help
Answers
Answer:
18
Step-by-step explanation:
10/0.5 = 20
20 * 0.9 = 18
Answer:
a = 18
Step-by-step explanation:
Step 1: Cross-multiply.
[tex]0.5 * a = 10*0.9[/tex] [tex]0.5a =9[/tex]Step 2: Divide both sides by 0.5
[tex]\frac{0.5a}{0.5} =\frac{9}{0.5}[/tex] [tex]a = \frac{90}{5}[/tex] [tex]a = 18[/tex]Step 3: Check if solution is correct.
[tex]\frac{0.9}{0.5}=\frac{18}{10}[/tex] [tex]\frac{9}{5} =\frac{18}{10}[/tex] [tex]\frac{18/2}{10/2} =\frac{9}{5}[/tex][tex]\frac{9}{5} =\frac{9}{5}[/tex]Therefore, a = 18.
Solve for g
9+3.5g=11-0.5g
Answers
Add 0.5g to both sides:
9 + 3.5g + 0.5g = 11 - 0.5g + 0.5g
9 + 4g = 11
Subtract 9 from both sides:
9 - 9 + 4g = 11 - 9
4g = 2
Divide both sides by 4:
4g/4 = 2/4
g = 1/2
who plays cold wa?r
Answers
Varian ride a horse. Gelbin rides a rocket-powered robo-ostrich. Gelbin's ostrich ran 4,828 meters (m) which is 2 times as far as Varian's horse
how far did Varian horse run