1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°
Answers
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Related Questions
What is the measure of angle B?
A. 75
B. 60
C. 30
D. 38
Answers
Step-by-step explanation:
a = 180-117 = 63
180- (81+63) = 36
Which points justify shading inside the conic inequality 8x² – 12x + 4y² + 4y – 20 ≤ 0? Check all that apply.
(–1, –2)
(–1, –1)
(0, 0)
(0, 2)
(1, –2)
Answers
Answer:
B. (–1, –1)
C. (0, 2)
E. (1, –2)
Step-by-step explanation:
plugged in the answers into (x) and (y)
The points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Conic inequality:
8x² – 12x + 4y² + 4y – 20 ≤ 0
After plotting the above inequality on a coordinate plane we will get an ellipse:
From the graph:
The points:
(0, 0), (-1, -1), and (1,-2) inside the conic inequality.
Thus, the points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
What is the area of the trapezoid?
Answers
Answer:
64ft²
Step-by-step explanation:
trapezoid area formula is b1+b2 over 2 times the height so
(6+10)÷2×8
16÷2×8
8×8
64
I need help with this ASAP
Answers
Answer:
D
Step-by-step explanation
I think its D
B - Colored in, arrow to the left
Math question! I don't understand! can I have an explanation?
Answers
Answer:
linear monomial
Step-by-step explanation:
What are the next three terms in the sequence? -112, -129, -146, ___________
Explain your answer.
Answers
Answer:
-163, -180, -197
Step-by-step explanation:
-146--129=-17
the difference of them is 17 so keep adding it
The recursive formula of this sequence is:
a n =-17n-95
The line m has a slope of 4. What is the slope of a line perpendicular to line m?
Answers
Step-by-step explanation:
Given
Slope (m1) = 4
As it is said that the lines are perpendicular so we have
m1 * m2 = - 1
4 * m2 = - 1
m2 = - 1/4
The slope of the line perpendicular to line m is
- 1/4
Hope it will help :)❤
Answer:
The slope of the perpendicular line is -1/4
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
Let the slope of the perpendicular line have sloe p
m*p = -1
4 * p = -1
Divide each side by 4
p = -1/4
The slope of the perpendicular line is -1/4
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be
used to determine her monthly cell phone bill (C)?
C = 15 + 0.20%
C =15 (0.20%)
C# 15 + X+ 0.20
C = 0.20 + 15x
Answers
I thought it would be C = 15 + x(0.20)
Hope this helps
I need help , I really don’t understand it .
Answers
Answer:
slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.
what you have to do is to solve the equations for y.
1) 2x+2y = 10
2y = 10 -2x
y = -x +5
2) 12+4y = -4x
4y = -4x-12
y = -x -3
lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2
lines are perpendicular when the multiplication of their slope gives -1
m1 x m2 = -1
here the slopes are same and y-intercepts are different so lines are parallel.
A) Find the Volume enclosed by the curve =6−22 and the x-axis when it is rotated once around the x-axis.
Answers
Answer:
hello your question is not well written hence i will give you a more general answer assuming a region that is enclosed by curves y = x and y = x^3
answer : 8/21
Step-by-step explanation:
y =x , y = x^3
next determine the intersection point which is
x = x^3
x( x^2 - 1 ) = 0
therefore ; x = 0 , 1 , -1
attached below is a detailed solution
please help me with #1 asap!!! ill give brainliest
Answers
Answer:
A 2 seconds
Step-by-step explanation:
Answer:
4 seconds
Step-by-step explanation:
Since the object is falling 16ft per second, it would take 4 seconds for it to fall 64 ft. Because 64 divided by 4 is 16
An object with a mass of 5.0kg accelerates 8.0m/s2 when an unknown force is applied to what is the force?
Answers
Answer:
The correct amount of force i believe is
f= 40 newton
i got the answer by using the formula below
force = mass x acceleration
f=5kg *8.0 m/s^2
Step-by-step explanation:
A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?
Answers
Answer:
4 eggs per cup
Step-by-step explanation:
plz help find x !!!!!
Answers
Answer:
a. 38.5
Step-by-step explanation:
The triangles are similar. That means that the ratios are the same.
x/14 = 11/4
x/31.5 = 11/9
Let's use the top one
x/14 = 11/4
4x/14 = 11
4x = 154
x = 38.5
Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9
Answers
Answer:
x≥ -5
Step-by-step explanation:
what does inversely proportional mean
Answers
If point (2, 3) is rotated 270 degrees, what will be the new coordinate point?
Answers
Answer:
-2,-3
Step-by-step explanation:
multiply the x coordinate and the y coordinate by -1 and interchange the x and y-coordinates
what is th answer to
Find the Area: R= 8cm
Answers
Answer:
64 π ( c m ) ^2
Step-by-step explanation:
Help ASAP! Question in pic! Will give brainliest!!
Answers
Answer:
Its the third option
What is the circumference of a 12 - inch diameter pizza? Leave the answer in terms of pie.
A. 3 pie
B. 6 pie
C. 12 pie
D. 24 pie
Answers
to find the circumference the formula is pi multiplied by diameter so 12xpi gives you 12pi
If two expressions, 2x + 8 and 2 (x + 2) + k are equivalent, what is the value of k? Enter the value in the box.
Answers
2x+8=2x+4+k
k=4
Therefore k= 4, Hope this helps!! :)
Find the value of x in the solution to the system of equations shown.
y = 12x +7
y = -6x +25
Answers
Answer: 1. x= y/12 - 7/12
2. x=y/6 + 25/6
Step-by-step explanation:
Y=12x+7
2y=-12x+50
3y=57
Y=19
19=12x+7
12=12x
X=1
out of 35 students In a class 21 opted for basketball the remaining opted for volleyball what is the probability of choosing a student to opted for volleyball
Answers
Answer:
15 student
Step-by-step explanation:
35 - 21
15
Pls mark as branlist
will mark brainliest and rate 5/5
Answers
Answer:
I dont know if this question was needed to be solved
what does this mean
Answers
Answer:
it means to add all of the numbers then divide by how many there are
so, 3+3+5+5+5+7+7+8+15+15=73
73/10=7.3
hope this helped!!
Find the value of x please and thank you
Answers
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
[tex]\angle DE F\cong \angle GEH[/tex] (Common angle)
[tex]\angle EDF\cong \angle EGH[/tex] (Corresponding angle)
[tex]\Delta DE F\sim \Delta GEH[/tex] (By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.
[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]
[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]
[tex]\dfrac{x+14}{x+5}=2[/tex]
[tex]x+14=2(x+5)[/tex]
[tex]x+14=2x+10[/tex]
Isolating variable terms, we get
[tex]x-2x=-14+10[/tex]
[tex]-x=-4[/tex]
[tex]x=4[/tex]
Therefore, the value of x is equal to 4.
look below giving brainliest
Answers
Answer:
15
Step-by-step explanation:
3*5*1=15
Please help (exponents)
Answers
Answer:
Barb evaluated correctly
Answer:
Barb is the correct expression
Find the circumference of the circle rounded to the nearest
whole number
5 in.
79 in.
31 in.
15 in
16 in
Answers
3) Artemis has 6 boards cut in various lengths as shown. She wants to use 3 of them to frame
a triangular window in her new clubhouse. How many unique triangles can Artemis make with
the lengths she has? *
3 ft
3 ft
5 ft
5 ft
8 ft
8 ft
3 Triangles
4 Triangles
5 Triangles
6 Triangles
Answers
Answer:
It's either 3 Triangles
, 4 Triangles
, 5 Triangles
, or 6 Triangles
Step-by-step explanation:
Considering how many answers there are, there's a 1/4 chance for it to be any. Concluding by that it's either 3 Triangles
, 4 Triangles
, 5 Triangles
, or 6 Triangles