Answers
Given:
QRST is an isosceles trapezoid with RS||QT.
To find:
The value of x, angle R and angle T.
Solution:
If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.
[tex]m\angle Q+m\angle R=180[/tex]
[tex](6x-22)+(8x+34)=180[/tex]
[tex]14x+12=180[/tex]
[tex]14x=180-12[/tex]
[tex]14x=168[/tex]
Divide both sides by 14.
[tex]x=\dfrac{168}{14}[/tex]
[tex]x=12[/tex]
Now,
[tex]m\angle R=(8x+34)^\circ[/tex]
[tex]m\angle R=(8(12)+34)^\circ[/tex]
[tex]m\angle R=(96+34)^\circ[/tex]
[tex]m\angle R=130^\circ[/tex]
We know that the base angles of an isosceles triangle are equal.
[tex]m\angle T=m\angle Q=(6x-22)^\circ[/tex]
[tex]m\angle T=(6(12)-22)^\circ[/tex]
[tex]m\angle T=(72-22)^\circ[/tex]
[tex]m\angle T=50^\circ[/tex]
Therefore, [tex]x=12,\ m\angle R=130^\circ[/tex] and [tex]m\angle T=50^\circ[/tex].
Related Questions
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Answers
Answer:
33.51
Step-by-step explanation:
V=4 3πr3=4 3·π·23≈33.51032
Solve and show work.
Answers
Write a set of ordered pairs that is represented by the arrow diagram 49,13 69,32 18,22 78,57 28,57 the set of order pair is? 
Answers
Answer:
The mapping can also be represented as the set of ordered pairs: (4, 9) (5, 10) (6, 11) (7, 12). The ordered pair preserves the directional property of the relation. It is consistent with the order of points plotted on a Cartesian Plane represented by (",$). In the Arrow Diagram that follows.
Step-by-step explanation:
Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume? (Hint: Start by finding the volume of Cylinder A.)
Answers
Answer:
6
Step-by-step explanation:
Answer:
h=8 in
Step-by-step explanation:
Formula: V=pi r^2 h
Cylinder A:
radius: 4 in height: 2 in
V=pi*4^*2*2
V=pi*16*2
V=pi*32
V=3.14*32
V=100.48
Cylinder B:
radius: 2 in height: ? volume: 100.48
100.48=pi*2^2*h
100.48=pi*4*h
100.48=3.14*4*h
100.48=12.56*h
100.48/12.56=h
h=8 in
Hope this helps :)
Plz give me brainliest
Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)
Answers
Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]
Step-by-step explanation:
Given
x and y is in the fourth quadrant
[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]
we know,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]
using [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]
[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]
[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]
Find the value of x .
Answers
Answer:
98
Step-by-step explanation:
x+30+52=180
x+82=180
x=180-82
x=98
Marcus had to get dressed quickly for school. He had two pairs of pants, two shirts, two ties, and two jackets to choose from. If he randomly chose one of each type of clothing item how many different outcomes were possible. a.4 b.16 c.32
please help having a bad day:/
Answers
Please Solve
The equation below
Answers
Answer:
4h+3
Step-by-step explanation:
3h+h+3
4h+3
Brody's family took a road trip to Niagara Falls. Brody slept through the last 6% of the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Brody fell asleep?
Answers
Answer:
282
Step-by-step explanation:
100⋅x=300⋅94
Cross multiply
100
100x
Divide both sides by 100
282
Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?
Answers
Answer:
we need an amount of cherry tomatoes per each salad so we can answer.
Step-by-step explanation:
Just name the amount of tomatoes there are in each salad.
Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes
Amy earned $25 after
babysitting for 3 hours. If
she dways charges the
same rate, how much will she
make after working for 7
hours
Answers
Answer:
58.33
Step-by-step explanation:
8.33 per hour
Mulitply by 7 and get 58.33
8.33 x 7
58.31
Answer: $58.31 but you can round this off to $58 also
Solve the unit rate
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
See the thing on the left?
▢ unknown
- = -
▢ 1
Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!
::::;
Julius’s walking rate is
(12 miles)/(3 hours) = (4 miles)/(1 hour)
time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles
time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles
time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles
time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours
time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours
In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.
Answers
Answer:
43
Step-by-step explanation:
deltamath
Answer:43
Step-by-step explanation:
What is the slope of the line? Type fractions as y/x).
Answers
Answer:
Slope is (1, 2)
4,400,000 in scientific notation.
Answers
Answer:
4.4 * [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4.4 x 10^6
Step-by-step explanation:
The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.
After you place the decimal you should have, 4.400000.
Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.
So the answer would be, 4.4 x 10^6
Which of the following is equivalent to the addition problem below?
46.61 + 51.52
A.
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
B.
(40 + 50) + (6 + 5) + (0.6 + 0.1) + (0.01 + 0.02)
C.
(40 + 10) + (6 + 5) + (0.6 + 0.5) + (0.01 + 0.02)
D.
(40 + 50) + (6 + 1) + (0.6 + 0.1) + (0.05 + 0.02)
Answers
Answer:
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
Step-by-step explanation:
In this case, you are breaking each term down to it's non-zero digits, and adding them:
46.61 = 40 + 6 + 0.6 + 0.01
51.52 = 50 + 1 + 0.5 + 0.02
Note however, that the answer choices add each individual non-zero terms together:
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.
~
how many times can 10 go into 111? lol i need help
Answers
Answer:
11.1 times
Step-by-step explanation:
Answer:
11 times
Step-by-step explanation:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110
Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answers
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
help pls i need help
Answers
Answer:
The second and third one
Step-by-step explanation:
According to the statement, numbers between 4 and 5 is 4.1 - 4.9
But it is doubled so it is 8.2 - 9.8
These numbers are greater than 8 and less than 9
These numbers are also greater than 9 and less than 10
what is the value of x in f(x)= (x-3)(x+2)?
Answers
Answer:
your answer is 2 hope help you
RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
mZBAC = 53° and DE = 8, find the indicated measure.
B
А.
53°
mZAED
m2 DAC
m ZADC
AE
DB
8
E
с
AC
D
11. Name the four isosceles triangles in rhombus ABCD.
12. Name three properties of AC and BD.
Answers
Answer:
Question 11:
[tex]\angle DAC = 53^\circ[/tex]
[tex]\angle AED = 90^\circ[/tex]
[tex]\angle ADC = 74[/tex]
[tex]DB = 16[/tex]
[tex]AE = 6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
Question 11
Given
[tex]\angle BAC = 53^\circ[/tex]
[tex]DE = 8[/tex]
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a): [tex]\angle DAC[/tex]
Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles
i.e
[tex]\angle DAC = \angle BAC[/tex]
So:
[tex]\angle DAC = 53^\circ[/tex]
Solving (b): [tex]\angle AED[/tex]
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
[tex]\angle AED = 90^\circ[/tex]
Solving (c): [tex]\angle ADC[/tex]
First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:
[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]
[tex]\angle ADE + 90 + 53 = 180[/tex]
[tex]\angle ADE + 143 = 180[/tex]
[tex]\angle ADE = -143 + 180[/tex]
[tex]\angle ADE = 37[/tex]
To calculate [tex]\angle ADC[/tex], we have:
[tex]\angle ADC = 2*\angle ADE[/tex]
[tex]\angle ADC = 2* 37[/tex]
[tex]\angle ADC = 74[/tex]
Solving (d): [tex]DB[/tex]
From the rhombus
[tex]DB = DE +EB[/tex]
Where
[tex]DE =EB[/tex]
So:
[tex]DB = 8 + 8[/tex]
[tex]DB = 16[/tex]
Solving (e): [tex]AE[/tex]
To do this we consider [tex]\triangle ADE[/tex]
Using the tan formula
[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]
[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]
So:
[tex]\tan(37) = \frac{AE}{8}[/tex]
[tex]AE = 8 * \tan(37)[/tex]
[tex]AE = 6.03[/tex]
Solving (f): [tex]AC[/tex]
This is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
[tex]AC = 6.03 +6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12: Isosceles Triangle
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
Find the volume of a right circular cone that has a height of 3.2 m and a base with a
radius of 14.1 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
what's the question i need more info
Karen is working on her math homework. She solves the equation b/7
= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?
Answers
Answer:
disagree
Step-by-step explanation:
subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.
Answer:
No
Step-by-step explanation:
If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245
Which equation represents a line which is parallel to line y = -2x - 1 ?
Answers
Hope this helps!
Find X .Round your answer to the nearest tenth of a degree.
Answers
Answer:
Step-by-step explanation:
With reference angle x
perpendicular (p) = 11
hypotenuse (h) = 18
Now
sin x = p / h
sin x = 11 / 18
x = sin ^-1( 11/ 18)
x = 37.66
x = 37.7
Awnser: 37.7
Sin: Oppostie/Hypotonuse
11/18=sin(x)
sin^-1(11/18)= 37.6698...
In the triangle shown below, the side lengths are given in terms of x.
What is the length of the longest side of the triangle when x=8
Answers
Step-by-step explanation:
In a triangle, the hypotenuse is the longest side
=>7x+3
=7(8)+3
=56+3
=59
a.55.48.27.12.0
b.62.40.9.3.25.
c.1.8.13.29.42.
d.15.34.0.7.28
of the following shows an arrangement of an integer from least to greatest
Answers
Answer:
C
Step-by-step explanation:
a) 55 > 48 > 27 > 12 > 0 ×
b) 62 > 40 > 9 > 3 < 25 ×
c) 1 < 8 < 13 < 29 < 42 ✓
d) 15 < 34 > 0 < 7 < 28 ×
i need help! find the area of the composite figure. if anyone can help i will really appreciate it. thanks! :)
Answers
Answer:
area = 120.7 cm²
Step-by-step explanation:
net area = area of rectangle - area of semi-circle
area = (19 x 7.5) - 1/2(3.14)(4.5²)
area = 152.5 - 31.8 = 120.7 cm²
please help i’ll give brainliest if you help thanks
Answers
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
Write and solve an equation to find the amount of money Victor used to buy the Game Boy.