Step-by-step explanation:
14x+y=60
4x-6= 10
4x= 16
x= 4
56+y=60
y= 4
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
4 cm
7-64. When Madelyn examined the triangle at left, she says, “I
don't think this diagram is drawn to scale because I think the
side labeled x has to be longer than 4 cm.”
26°
42°
a. Do you agree with Madelyn? Why or why not?
b. Leila thinks that x can be determined by using right triangles. Review what you learned in
Lesson 7.2.1 by calculating the value of x.
Answer:
k
Step-by-step explanation:
The value of x is determined as 6.10 cm using law of sines and the diagram is correctly drawn.
What is the law of sines?The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.
It can be written a/SinA = b/SinB = c/SinC.
For the diagram shown, the length of side of triangle can be calculated by Sin law as,
x/Sin(42°) = 4/Sin(26°)
⇒ x = 4/Sin(26°) × Sin(42°)
⇒ x = 6.10
Thus, x is greater than 4 cm.
(a) One cannot agree with Madelyn because x is greater than 4 cm.
(b) The value of x can be found by using law of sines.
Hence, the value of x is 6.10 and the diagram is drawn to scale.
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what is £120 by 40% Decreased
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
tysm for all your help Here is a crown and points. contest the first answer will get a mark
WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT
Answer:
AHH
Step-by-step explanation:
which expression is equivalent to z+(z+6)?
Answer:
2(z+3)
Step-by-step explanation:
plz, help I will give you the brainiest How likely is it to get a red card? A heart? A red or black card? A 2 of Hearts? Use the Probability Scale
Answer:
[tex]\frac{26}{52}[/tex], [tex]\frac{13}{52}[/tex], [tex]\frac{52}{52}[/tex], [tex]\frac{1}{52}[/tex]
Step-by-step explanation:
In a deck of playing cards there are 52 cards total.
13 clubs
13 hearts
13 spades
13 diamonds
half are red and half are black
all of the cards are red or black
plz mark me brainliest ;)
–19w + 11 = –17w − 19
w=?
Answer:
W = 15. I hope this helped.
Step-by-step explanation:
Steps:
1.Add 19w to both sides.
11=−17w−19+19w
2.Simplify -17w-19+19w to 2w-19
11=2w−19
3.Add 19 to both sides.
11+19=2w
4. Simplify 11+19 to 30.
30=2w
5.Divide both sides by 2.
30/2 = w
6.Simplify 30/2 to 15.
15=w
7.Switch sides.
w=15
PLZ HELP ITS DUE AT MIDNIGHT
Answer:
1. 10.5% increase (yellow)
2. 35% decrease (blue)
3. 40% increase (pink)
4. 50% increase (white)
5. 26% decrease (blue)
Step-by-step explanation:
Answer:
1. 10.5% increase (yellow)
2. 35% decrease (blue)
3. 40% increase (pink)
4. 50% increase (white)
5. 26% decrease (blue)
How is this due at midnight
Change to y = mx + b form. 3y - 3x = 9
Answer:
y = x+3
Step-by-step explanation:
3y-3x = 9
3y-3x+3x = 9+3x
3y = 3x+9
3y/3 = 3x/3+9/3
y = x+3
Hey there!
The answer is [tex]y=x+3[/tex]
[tex]3y-3x=9[/tex]
[tex]\frac{3y}{3} -\frac{3x}{3} =\frac{9}{3}[/tex]
[tex]y-x=3[/tex]
[tex]y-x+x=3+x[/tex]
[tex]y=x+3[/tex]
Have a great day!
If a field's length is 75m and breadth is 50m then what is the area?
Answer:
3750m^2 is it's area hope it helps
Answer:
3750m²
Step-by-step explanation:
75x50=3750
2 Which of the following fractions are equivalent to 2/4?
Answer:
1/2=2/4
Step-by-step explanation:
which graph models the solution of the Inequality -6 ≤ -3x
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
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A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
help!
Question 1 (1 point)
Sally sold this watch during her shift at the mall for $219. She earns 3% commission. How much did she make on the sale?
Commission: $
Answer:
6.57
Step-by-step explanation:
16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
are pink. Abby takes out two pink marbles without replacing them. What is the
probability that the next marble he draws will be blue?
A. 10/21
B. 4/21
C. 2/7
D. 6/23
Answer:
C. 2/7
Step-by-step explanation:
When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:
Probability of Next Marble to be blue
= Blue Marble / Total Marbles in the bag
= 6 / 21
= 2 / 7
Hence, the correct option is C. 2/7
need help please will give brainliest
Answer:
y=1/5x+7
Step-by-step explanation:
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
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a model house is 22 centimeters long.If it was built with a scale factor of 3 centimeters equals to 7 feet, then how long is the house in real life
Answer:
51 1/3 feet
Step-by-step explanation:
3 cm / 7 ft = 22 cm / x ft
cross-multiply:
3x = 154
x = 51.33
What is 10 times something equal 24
Answer:
2.4
Step-by-step explanation:
An easy way to find this is via division.
24 ÷ 10 = 2.4 | therefore,
2.4 × 10 = 24
Answer:
2.4
Step-by-step explanation:
"something" = x
10x = 24
divide both sides by 10
10x/10 = 24/10
x = 2.4
? pls help lol ??????????????????
Answer:
d is not a function
Step-by-step explanation:
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]
I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!
The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Step-by-step explanation:
Answer:
Tacos-6
Burritos-8
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3b+4t=48)
1(6b+2t=60)
Becomes:
−6b−8t=−96
6b+2t=60
Add these equations to eliminate b:
−6t=−36
Then solve−6t=−36for t:
−6t=−36
−6t
−6
=
−36
−6
(Divide both sides by -6)
t=6
Now that we've found t let's plug it back in to solve for b.
Write down an original equation:
3b+4t=48
Substitute6fortin3b+4t=48:
3b+(4)(6)=48
3b+24=48(Simplify both sides of the equation)
3b+24+−24=48+−24(Add -24 to both sides)
3b=24
3b
3
=
24
3
(Divide both sides by 3)
b=8
Answer:
b=8 and t=6
15 1/3 - 5 7/9 = 10 1/3 - 7/9
Answer:
true
Step-by-step explanation:
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1 where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?
A)0.3 seconds
B)1.8 seconds
C)3.5 seconds
D)6.9 seconds
Answer: I think is none
Step-by-step explanation:
Tbh
PLEASE HELP!! I need it asap tysm
Answer:
D
Step-by-step explanation:
Answer:
the answer is D your welcome lol
Step-by-step explanation:
lol
Burger patties come packed 6 in a package, and burger buns come packed 8 in a package. We want to buy the least number of patties and buns possible, while still making sure that we have exactly one patty for each bun (no leftovers). How many packages of burger patties do we need to buy?
Answer:
6 packs of buns 8 packs of patties
Step-by-step explanation:
6 x 8 = 48
8 x 6 = 48
What type of transformation moves P(3,-6) to
P'(3, 6)?
Reflection in the y-axis
Reflection in the x-axis
Rotation 180
Translation
Answer:
Rotation 180
Step-by-step explanation:
The axis points right to the rotation so it implies that exact answer
Please help I have no clue if you can please do step by step explaining
Answer:
36cm^2
Step-by-step explanation:
Break it apart into rectangles/squares where you can figure out what the length of at least two sides are for each.
Then multiply and get the area of the smaller area.
Then add the areas up.
You're basically just breaking it down into smaller shapes, then adding the different parts back together.
3 Mr. Howell runsmile in 6 minutes. Mr. Samuels runs 15 miles in 9 minutes. Whose speed is
greater? Explain.
4
HELPP
Answer:
Mr. Samuels
Step-by-step explanation:
Mr samuels runs a mile in 36 seconds, which is much faster than Mr. Howell.
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!