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]
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
Related Questions
What fraction of an hour is 48 minutes
Answers
What fraction of an hour is 48 minutes
Answer:: 0.800
Answer:
4/5
Step-by-step explanation:
Total numbers of minutes in an hour = 60
48/60
4/5 (simplest form)
A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?
Answers
Answer:
D, 180.
Step-by-step explanation:
2400 divided by 200 is 12, which means 2400 is 12 times 200
Next, times 15 by 12 which is 180.
In 2016, there were about 36 million teenagers (ages 13-17) in the United States. They each sent an average of 850 text messages per month. How many text messages did all of the teenagers in the United States send each month? Express your answer in scientific notation
Answers
Answer:
256
Step-by-step explanation:
Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?
Answers
THE ANSWER FOR THIS IS
30%
PLZ PLZ PLZ ANSWER!!!!!!
Answers
Answer: it would be B "4.05"
Step-by-step explanation:
2.5 x 1.8 x 0.9 = 4.05
Answer:
4.05 m^3
Step-by-step explanation:
Calculate volume with this formula:
LxWxH (length x width x height)
0.9 x 2.5 x 1.8 = 4.05
Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.
So our answer is 4.05 m^3.
can someone help meeee
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
What is the sum of the polynomials given?
Answers
4a^4 - a + 3 + 7a^4 - 12a + 4
combine like terms:
11a^4 - 13a +7
hope this helps!
30 times 40 equals whatttt
Answers
Answer:
1200 is ur wsener
Step-by-step explanation:
Answer:
1,200 is the result to the problem
5x³-45x (Factor COMPLETELY)
Answers
Step-by-step explanation:
5x³ - 45x
5x(x² - 9)
Or 5x(x-3)(x+3)
[tex]\tt{} {5x}^{2} - 45x[/tex]
[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]
[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]
identify the zeros of the function
5
1 and 2
1 and -2
-1 and 2
Answers
Answer:
my answer is the first one..............
what is greater1/2 or 1/5
Answers
Answer:
1/5
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
-2x<10 someone PLEASEE
Answers
Answer:
Step-by-step explanation:
-2x < 10
divide both sides by -2
x > -5
note that the direction of the inequality changes
Find the range for the list of numbers
21, 18, 24, 19, 27
Question 3 options:
6
9
21
21.8
Answers
Answer:
9
Step-by-step explanation:
i did the same thing on k12
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle
Answers
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
Jerry and Lino participated in a quiz contest. They scored 46 points altogether. If Jerry scored 18 points, how many points did Lino score?
Write an equation and solve. Let x = Lino's points.
Answers
Answer:
46=18+x
Step-by-step explanation:
x+18=46
-18 -18
x=28
Which statement best uses this information to explain why the AA criterion can be used to prove ABC~DBE
Answers
Answer:b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
I don’t know if it’s true or false
Answers
Answer:
false
Step-by-step explanation:
ur teacher is dum
A carpenter has wood planks that are 4 yards, 8 yards, 7 yards, and 3 yards long. what is the mad of these measurements
Answers
Answer:
6
Step-by-step explanation:
what you have to do to find that out is add them all togeather the divide that whole by the amount of numbers you were adding so in this case it would be 3 so you would add 8,7, and 3 to get 18 then divide that by 3 to get 6.
hope this helps
pls mark brainliest
HELP I NEED THIS FOR MY HOMEWORK
Write each function in standard form.
5. y= 5(x - 2)(x + 1)
6. y=2(x + 6)(x + 3)
7. y=-2(x + 4)(x - 5)
8. y=-4(x + 2)(x + 3)
Answers
Answer:
5.y=5x-10+5x+1
y=10x-9
6.y=2x+12+2x+6
y=4x+18
7.y=-2x-8-2x+10
y=-4x+2
8.y=-4x-8-4x-12
y=-8x-20
please help and explain
Answers
Answer:
Step-by-step explanation:
Fraction of surveyed women who voted for football = 25/72
Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]
[tex]=\frac{625}{18} = 34.72[/tex]
= 35%
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box
which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?
Answers
Answer:
120 cups of sugar
8 ounces of paint
Step-by-step explanation:
Given that :
To cover all sides of the rectangular prism with paint, that is the surface area.
The amount of sugar held by the prism is function of its volume.
Hence, doubling the dimension :
The surface area, in unit² is a obtained by
Initial paint required * 2^2
2 * 2² = 2 * 4 = 8 ounces of paint.
For sugar :
It has to do with volume, unit³
Initial * double³
15 * 2³
15 * (8) = 120 cups of sugar
Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3 years at 5.5% interest compounded annually if she did not make any further deposit or withdrawal.
Answers
Answer:
$1456.25
Step-by-step explanation:
Given data
P= $1,250
t= 3 years
r=5.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A= 1250(1+0.055*3)
A= 1250(1+ 0.165)
A= 1250(1.165)
A= 1456.25
Hence the amount after 3 years is $1456.25
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answers
Answer:
4.50r + 6.00f ≤ 35.00
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?
Answers
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
help i’ll mark brainliest
Answers
Answer:
12
..... ....... ......
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(__,__)
What are the coordinates of Point A? A(___,____)
Answers
Given:
The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Select numbers from the pull-down menus to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answers
Answer:
140
Step-by-step explanation:
Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?
Answers
Answer:
64
Step-by-step explanation:
you divide 256 four times
ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST
Answers
Answer:
option A is the answer hope you find it helpful
How do you write 1/2 as a percentage?
Answers
Answer:
lol 50%
Step-by-step explanation:
hope this helps.
Answer:
50%
Step-by-step explanation:
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