Answer:
y=4x+5(the first one)
y=4x+1
y=4x-4
Step-by-step explanation:
If the slope is the same, it is parallel
The equation for a linear equation is y=mx+b
mx is the slope
your original equation is y=4x-2, so the slope is 4.
To find which ones are parallel, you find the ones with the slope 4x(make sure it isn't -4x).
Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?
The values for x are:
question 15 ⇒x=8
question 16⇒x=19
question 17⇒x=14
Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.
Sum of Interior Angles of Regular PolygonThere is a formula that relates number of sides polygon with its sum of interior angles. See below.
S=(n-2)*180°
S=sum of interior angles of regular polygon.
n=number of sides of regular polygon.
Exercise 15First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,
S=(n-2)*180°
S=(4-2)*180°
S=2*180°=360°
Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.
Next step, sum of interior angles for finding x
[tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]
x=8
Exercise 16
First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,
S=(n-2)*180°
S=(6-2)*180°
S=4*180°=720°
Next step, sum of interior angles for finding x.
[tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]
x=19
Exercise 17
First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,
S=(n-2)*180°
S=(5-2)*180°
S=3*180°=540°
The image of the question shows the sides are congruent, consequently, the angles are equal.
Next step, sum of interior angles for finding x.
[tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]
x=14
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What is the value of the expression: (-3) (- 1) (-2)= __________
A. – 8 B. – 17 C. 17 D. 8
Answer:
Use BODMAS and multiply the signs - ve × -ve equals +ve multiplied by another - ve is a - ve sign then multiply the figures and then multiply the final figure to the final - ve sign.
Thank you. Hope I was of help.
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answer:
bail
Step-by-step explanation:
En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa
Answer:
63 dm (aproximadamente)
Explicación paso a paso:
Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.
Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:
h = sqrt (54 ^ 2 + 32,4 ^ 2)
h = sqrt (2916 + 1049,76)
h = sqrt (3965,76)
h = 62,974280
h = 63 dm (aproximadamente)
Find each angle measure in the triangle.
Step-by-step explanation:
2x + 3x + 4x = 180
9x = 180
x = 20
2x = 2(20)=40
3x = 3(20)=60
4x = 4(20)=80
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
The socks you like to wear are on sale when you buy 2 pairs
Is there more to this question?
Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.
Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.
what is the HL postulate
Answer:
HL Postulate
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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change
Answer:
820.11
Step-by-step explanation:
-39.48
603.15+90.89=694.04
694.04+106.03=800.07
800.07+70.04+870.11
870.11-50.00=820.1
Solve for n:
12n + 3 – 3n = 30
n = ?
Answer:
n=3
Step-by-step explanation:
12n-3n=30-3
9n=27
n=27/9
n=3
n-6+4=24 solve for n
please answer this question
Answer:
D. 1,300
Step-by-step explanation:
how many times does 50 go into 2490
Answer:
49.
Step-by-step explanation: Because 2490 divided by 50 equal 49.8 if you needed.
Help please!!! I will give you the brainlyst if you helppp me
Answer:
the slope is 30 and it represents the total cost of the repair dont know 2 number 3 is for 10 hours he got paid 320 $ 4 ,270 $, 5,15.6
Step-by-step explanation:
Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.
Answer:
1) 90+30+x=180
x= 60
2) 2x+90=180
x= 45
3) angle SPQ
90+55+ SPQ=180
SPQ= 35
Therefore as op=os=radii= isosceles triangle
angles OPS=OSP
SPQ +QPO=OSP
35 + x = 55
x=20
4)110+ 90+90 +x=360
x=70
5)90 +90 +45+x=360
x=135
hope it helped.
Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.
A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram
Trapezoid is the quadrilateral with only one pair of opposite parallel sides.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.
Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.
Hence, the correct option is Trapezoid.
For more references on Quadrilateral, click;
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-3.6h = -10.8
what's h
Answer: 3
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the other leg? (4 points)
Question 3 options:
1)
18 millimeters
2)
20 millimeters
3)
24 millimeters
4)
28 millimeters
Answer: 24 millimeters
the length of the other leg is x (x > 0)(millimeters)
using Pythagoras theorem with the right triangle, we have:
x² + 10² = 26²
⇔ x² = 26² - 10² = 576
=> x = 24 (mm)
Step-by-step explanation:
Step-by-step explanation:
(26)^2 = (10)^2 + BC^2
676 = 100 + BC^2
576 =BC^2
BC = 24 mm
Help appreciated, thanks so much!
Answer:
r= -6
Step-by-step explanation:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday
number of packs sold of black, red and green pens = 7 : 3 : 4
A total of 212 were sold.
work out the number of green pen solds
Answer:
24
Step-by-step explanation:
Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3
Find the surface area of the cylinder in terms of pi
Answer:
can u include a picture of the cylinder pls luv
Step-by-step explanation:
what is the value of the expression of -9 x 2.2
Answer:
-19.8
Step-by-step explanation:
hope this helps!
Mr. Trujillo wants to paint a wall which contains a french door in his breakfast area as shown in the diagram below.
How many square feet of wall does Mr. Trujillo need to paint?
Answer:
it is 140
Step-by-step explanation:
Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6
Answer:
the answer is B
Answer:
its b
Step-by-step explanation:
Find the area of the trapezoid. Please help!
Answer:
Area = 1/2 (a + b )h
area = 1/2 ( 22.2 + 8.52 ) 9.86
area = 1/2 ( 30.72) 9.86
area = 1 x 30.72 x 9.86 ÷ 2
area = 151. 4496cm²
Answer:
The area of the trapezoid is 151.45cm sq
Interest = $ 6400, rate = 4% time = 5 years ( if you don't know don't answer) please solve it correctly
Answer:
principal=32000
Step-by-step explanation:
I=p×r×t/100
6400=p×4×5/100
640000=p×20
p=32000
Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class? StartFraction 5 Over 9 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 5 Over 4 EndFraction StartFraction 9 Over 4 EndFraction
Answer: 4/5 (B)
Step-by-step explanation:
The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class
Here the number of students who prefer soccer = 20
The total number of students in Arturo’s class = 20 + 16 = 36
According to the given situation, the required ratio is written as:
The required ratio = students who prefer soccer / total number of students
The required ratio = 20 / 36
Convert the above fraction into the simplest form
The required ratio = 5/9
Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class
Learn more about the Ratios here:
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The length of a dog on a scale drawing is 6 cm. If the scale is 1 cm : 7 cm, what is the actual length of the dog? (A) 15 cm (B) 30 cm (C) 42 cm (D) 108 cm
Answer: (C) 42 cm
Work Shown:
(length on paper)/(real length) = (length on paper)/(real length)
(1 cm)/(7 cm) = (6 cm)/(x cm)
1/7 = 6/x
1*x = 7*6
x = 42
The actual length of the dog is 42 cm.