The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure
Answers
Answer:
3. m<GHF= 90 degrees
4. m<DGH= 45 degrees
5. HF=5
6. DE=50
Step-by-step explanation:
3. The measure of angle DGF and EFG are 45 degrees each and 45+45 is 90 degrees. When you subtract 90 from 180, you get 90.
4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles. This means that angle DGH is half of angle DGF and 90/2=45.
5. The diagonals of a square are congruent so it is also 5.
6. You use the Pythagorean Theorem and 5^2 + 5^2=50
The diagonals of square DEFG intersect at H. The measure of the following option; 3. m∠GHF= 90 degrees. 4. m∠DGH= 45 degrees 5. HF=5 6. DE=50
What is the property of a square?That rectangle whose all sides are equal is called a square.
A square is always a rectangle, parallelogram, a rhombus, and a quadrilateral but its reverse statement may or may not be true.
(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).
The diagonals of square DEFG intersect at H.
Given that EH = 5, we need to find the measure of the following option;
3. The measure of ∠DGF and ∠EFG are 45 degrees each .
The sum of the angle of the bisector of diagonal 45 + 45 = 90 degrees.
When you subtract 90 from 180, you get 90.
4. A square is also a rectangle and a rectangle has four right angles and it is a rhombus and the diagonals bisect the angles.
This means that ∠DGH is half of ∠DGF
90/2 = 45.
5. The diagonals of a square are congruent so HF is 5.
6. By Pythagorean Theorem
[tex]DF^2 = 5^2 + 5^2\\\\DF = \sqrt{50}[/tex]
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Related Questions
A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(7) = P(not 7) =
Answers
Answer:
[tex]1) \frac{1}{13} \\ 2) \frac{12}{13} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:simple probabilityPEMDAStips and formulas:there are 4 "7" cards in a decklet's solve:according to the question
P(7)=4/52P(7)=1/13according to the question
P(not 7)=1-[tex]\frac{1}{13}[/tex]P(not 7)=12/13Answer:
no of 7=4
total no of card =52
total not no.7=52-4=48
Step-by-step explanation:
probability of getting 7=4/52=1/13
probability of not getting 7=48/52=12/13
Here is a list of numbers.
32 29 30 37 34 33 31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that “37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.
Answers
Answer:
a). To find the median from a set of numbers, you need to arrange them from ascending order (smallest to biggest), and then you need to find the number in the middle
b). 32
Step-by-step explanation:
b). Smallest to biggest
29, 30, 31, 32, 33, 34, 37
From the set of numbers given, we can clearly see that 32 is in the middle.
HELP, i’m struggling
Answers
Answer:
x = 14
Step-by-step explanation:
(3x + 8) = (4x - 6)
3x + 8 = 4x - 6
+6 +6
3x + 14 = 4x
-3x -3x
14 = 1x
x = 14
plug 14 into the x, then solve it urself
The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask? A. How many employees are there in the company? B. Which employee worked the most hours in the last month? C. How many employees worked more than 35 hours this week? D. How many hours does each employee work in a week?
Answers
Because then he can add all the numbers up and then get the amount of hours worked total
Answer:
B. How many hours does each employee work in a week?
Step-by-step explanation:
A statistical question is one that has a variable answer.
The answers to the question, "How many hours does each employee work in a week?" vary by employee, so it is a statistical question.
I hope i helped
one of the factor of 36 is
Answers
Hope this helps
1) You can spend at most $24 at the fair. Game
tickets cost $2 each, and ride tickets cost $4
each. You want to buy at least 3 game tickets
and more than 2 ride tickets. Write a system
of linear inequalities that represents the
situation. How many of each ticket can you
buy?
Answers
Answer:
2x+4y= 24
x≥3
y≤2
Step-by-step explanation:
Given data
total expenses= $24
let the number of tickets be x
and the number of rides be y
Tickets cost $2 each, and ride tickets cost $4
Hence the expression for the situation is given as
2x+4y= 24
x≥3
y≤2
arm-Up
Active
Identifying the System of Measurement
Check
Sort the units of measure into the appropriate system.
Customary System
Metric System
miles
ounces
deciliters
kilometers
centigrams
cups
Answers
customary system; miles, cups, ounces
metric system; deciliters, kilometers, centigrams
Answer:
just here to say the guy above me is correct
Step-by-step explanation:
did it on edge 2021 :D
Sarah bought a shirt for $24.00, before tax. Tax was 6% what was the tax Sarah paid
Answers
Write 6% as a decimal : 6% = 0.06
Multiply the price of the shirts by 0.06:
Tax = 24.00 x 0.06 = $1.44
1. observe the following tables and find if x and y are directly proportional:
Give answer plzz
Answers
yes here x and y are directly proportional when looking at the x-coordinate
Step-by-step explanation:
here,
x1=7, y1=14
x/y=7/14
=1/2.
when considering the second coordinates,
X2=9/18=we will get the answer again
1/2.
all the coordinates is proportional in this form it is all will get the answer one by two so this x -axis and y-axis are directly proportional
what is 4x-7y=3
x-7y= -15
Answers
Answer:
-3/4 and y= 3/7
Step-by-step explanation:
936 292 round to the nearest hundred thousand
Answers
900,000 would be the nearest hundred thousand
sorry if it's wrong, but I did try
Answer:
936,000
Step-by-step explanation:
You are going to round down because 292 is not 500 or higher and if you want to round up it has to be 500 or higher for this problem.
In systems by substitution what is y=x+8 and x+y=2
Answers
Answer:
x = -3
Step-by-step explanation:
y = x + 8 and x + y = 2
Using substitution, we know that y = x + 8, so:
x + y = 2
x + (x + 8) = 2
2x + 8 = 2
2x = -6
x = -3
Then we solve for y:
x + y = 2
-3 + y = 2
y = 2 + 3
y = 5
The amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with 100 g of this radioactive substance, which function represents the amount of radioactive substance left after x hours?
A- f(x)=100(0.15)^x
B- f(x)=100(0.85)^x
C- f(x)=100(1.15)^x
D-f(x)=100(1.85)^x
Answers
Answer:
A
Step-by-step explanation:
I took the test now that is what I got.
Hope this helps.
The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.
The function that represents the amount of radioactive substance left after {x} hours is -
f(x)=100(0.15)ˣ
Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.
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The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
74 units
15 units
Answers
Answer:
5 units is the correct value of W
show your work please and thank you best anwser gets brainly
Answers
Answer:
a9
Step-by-step explanation:
5+4= 9 and its the same variable.
A blimp is flying directly above a football field. The angle of depression to the base of one goal post is 40°. The angle of depression to the base of the other goal post is 72°. If the goal posts are 360ft apart, how high is the blimp flying? Round to the nearest tenth of a foot.
Answers
Answer:
. A blimp is flying directly above a football field. The angle of depression. 555.OF+ to the base of one goal post is 40. The angle of depression to the base of the other goal post is 72". If the goal posts are 360 feet apart. 7. how high is the blimp flying? Round to the nearest tenth of a foot. : a Sih C 8 360 5in (68) 333.8 36 0F 7. The bearing from a lighthouse to Ship A is S71 E. The bearing from the lighthouse to Ship B is S 39° E. If Ship A is 15 kilometers from the lighthouse and Ship B is 96 kilometers from the lighthouse, find the distance between the ships. Find the areg of each triangle. Round answers to the nearest tenth. B. 84.0 8. 2. 11m ((uSin 64) 15.q ft 64 10.
The blimp flying is "237 m" high.
Angle of depressionAccording to the question,
In ΔABC,
∠XCA = ∠CAB = 72°
∠YCB = ∠CBA = 40°
Now,
→ ∠A + ∠B + ∠C = 180°
By putting the values,
72° + 40° + ∠C = 180°
112° + ∠C = 180°
∠C = 180° - 112°
= 68°
By applying Sin Rule,
→ [tex]\frac{AB}{Sin \ 68^{\circ}} = \frac{AC}{Sin \ 40^{\circ}}[/tex]
AC = [tex]\frac{360\times Sin \ 40^{\circ}}{Sin \ 68^{\circ}}[/tex]
We know that,
Area of ΔABC = [tex]\frac{1}{2}[/tex] × AB × AC × Sin 72° ...(Equation 1)
Area of ΔABC = [tex]\frac{1}{2}[/tex] × AB × h ...(Equation 2)
From "Equation 1 and 2",
→ [tex]\frac{1}{2}[/tex] × AB × AC × Sin 72° = [tex]\frac{1}{2}[/tex] × AB × h
h = AC × Sin 72°
By substituting value of "AC",
= [tex]\frac{360\times Sin \ 40^{\circ}}{Sin \ 68^{\circ}}[/tex] × Sin 72°
= 237.36 or, 273 m
Thus the answer above is correct.
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What is the slope and y-intercept of y = x + 1?
Answers
Answer:
The y-intercept is 1 and the slope is x
Step-by-step explanation:
2) A fair coin was tossed 75 times. The coin landed on Heads 42 times and Tails 33 times. What is the experimental probability of the coin landing tails side up? Your answer needs to be a fraction in simplest form. Grid in boxes below. One digit/symbol per box, 7. SP.6 5) Tanya set a goal to swim 30
Answers
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...
[tex]\frac{33}{75}[/tex] or 0.44
This fraction can also be simplified to its simplest form of [tex]\frac{11}{25}[/tex] which is obtained by dividing both the numerator and denominator by 3
Maria's job pays her $1500 a month what is her gross weekly wage
Answers
Answer:
annual: $18000
weekly: $346.15
3x+18x+5x-2=180
what is the angle measurement for:
3x,18x,and 5x,-2?
Answers
Answer:
3x = -18 (x = -6)
18x = 108 (x = 11)
5x = 90 (x = 18)
Step-by-step explanation:
Trigonometry need help on this one
Answers
Answer:
Step-by-step explanation:
you have a right triangle, more precisely is a isosceles right triangle, as you have one angle= 45⁰, the other angle is also= 45⁰
In this triangle the hypotenuse, c, is
c=9[tex]\sqrt{2}[/tex]= 12.72
1. ∠XVR =
2. ∠RVS =
3. ∠WVS =
4. ∠RST =
5. ∠RSV =
6. ∠VSU =
7. ∠UST =
8. ∠TUS =
Answers
Answer/Step-by-step explanation:
1. ∠XVR = 180 - <XVW (angle on a straight line)
∠XVR = 180 - 55°
∠XVR = 125°
2. ∠RVS = <XVW (Vertical angles are congruent)
∠RVS = 55°
3. ∠WVS = ∠XVR (vertical angles are congruent)
∠WVS = 125°
4. ∠RST = <R + <RVS (exterior angle theorem)
<RST = 55 + 55
<RST = 110°
5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)
∠RSV = 180 - (55 + 55)
∠RSV = 70°
6. ∠VSU = <RST (vertical angles are congruent)
<VSU = 70°
7. ∠UST = <RSV (vertical angles)
<UST = 70°
8. ∠TUS = 180 - (<UST + <T) (sum of triangle)
<TUS = 180 - (70 + 71)
<TUS = 39°
i don’t understand, explain also
Answers
Answer:
32
63
Step-by-step explanation:
m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.
m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.
Step-by-step explanation:
148 + x = 180
x = 180 - 148
x = 32
Find m<CAB basically means find the measure of the angle of A ( m<A )
m<B + m<A + x = 180
85 + m<A + 32 = 180
117 + m<A = 180
m<A = 180 - 117
m< A = 63, so m<CAB = 63
And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.
So m<BCA = 32
A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the hexagon will coincide with itself.
Answers
360 / 6 = 60°
The minimum number of degrees in the rotation such that the hexagon will coincide with itself is 60°
What is hexagon?Hexagons are six-sided polygons in geometry. A hexagon is said to be a regular hexagon if all of its sides and angles have identical lengths. To put it another way, a regular hexagon's sides are congruent.
Given that, Around its center, a regular hexagon is rotated counterclockwise.
We are aware that a hexagon has six sides.
There are also 360 degrees.
According to the data given, the calculation is as follows:
= 360 /60
= 60 degrees.
Therefore, we may say that the rotation must be at least 60 degrees in total.
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evaluate -7 5/8 + (-6 1/4)
Answers
Answer:
exact form:
-111/8
Decimal form:
-13.875
Mixed Number Form:
-13 7/8
Answer:
-5.875
Step-by-step explanation:
primero se resuelve el paréntesis
1/4 =0.25
y se multiplica por el -6
0.25x-6= -1.5
luego se resuelve el otro lado
primero dividimos
5/8=0.625
y se multiplica por -7
0.625x-7= -4.375
y para finalizar se suman los dos lados
-4.375 + -1.5
= -5.875
What is 2/5 divide by 3/4
Answers
Answer:
8/15
Step-by-step explanation:
(2/5)/(3/4)=(2/5)(4/3)=8/15
Answer:
0.53
Step-by-step explanation:
I used a calculator :)
Pls help ASAP!!!!!!!!
Pls help
I will cash app if I get it right
Answers
Answer:
39 degrees
Step-by-step explanation:
97+44= 141
141 - 180 = 39
ali is paid $200 for working 8 hours.How much is he paid for working 6 hours?
Answers
Answer:
$150
Step-by-step explanation:
This is because he is paid 25 dollars an hour. So to figure out what he is paid for 6 hours, we need to multiply 6x25 which equals 150.
Hope this helps!! Have a great day!! :)
Is this number prime or composite
Answers
Answer:
no
Step-by-step explanation:
its composite
Answer:
Composite
Step-by-step explanation:
70 is a composite number as it has factors other than 1 and itself.
PLEASE HURRY AND HELP ME NOW ASAP
Answers
Answer:
jdjdjdbxjx byee-