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Vlad1618 [11]
3 years ago
13

I need help and NOW PLEASE

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0

Answer:

a) 7/4 b) 15/2

Step-by-step explanation:

a) Scale Factor = Image / Object

Take the side of Triangle ABC that's BC Why? Because it corresponds with the Image Triangle ADE's DE

= 21/12 = 7/4

b) 7/4 = 10+ x / 10

Cross Multiply

= 4 ( 10 + x ) = 70

= 40 + 4x = 70

= 4x = 70-40

= 4x = 30

= 4x/4 = 30/4

x = 15/2

You might be interested in
Find the volume of the rectangle 4 2/3cm,9 1/8cm, 2cm
amm1812

Answer:

\large\boxed{V=85\dfrac{1}{6}\ cm^3}

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V=lwh

l - length

w - width

h - height

We have

l=4\dfrac{2}{3}\ cm=\dfrac{4\cdot3+2}{3}\ cm=\dfrac{14}{3}\ cm\\\\w=9\dfrac{1}{8}\ cm=\dfrac{9\cdot8+1}{8}\ cm=\dfrac{73}{8}\ cm\\\\h=2\ cm

Substitute:

V=\dfrac{14}{3}\cdot\dfrac{73}{8}\cdot2=\dfrac{7}{3}\cdot\dfrac{73}{2}\cdot1=\dfrac{511}{6}=85\dfrac{1}{6}\ cm^3

6 0
3 years ago
What is the quotient as a mixed number in simplest form? −4 1/2 ÷ (−2 2/3)
koban [17]
I hope this helps you



-(4.2+1/2) ÷ (-)(2.3+2/3)



-9/2 ÷ - 8/3


9/2× 3/8


27/24


1 3/24
4 0
3 years ago
22) 4x + 6y=-6<br> 4x – 4y=-16
olasank [31]

Answer:

4x + 6y = -6

-4x + 4y = 16

10y = 10

y = 1

4x - 4 = -16

4x = -12

x = -3

(-3,1)

5 0
3 years ago
A regular hexagon has an apothem of 14. 7 inches and a perimeter of 101. 8 inches. What is the area of the hexagon?.
AleksAgata [21]

Answer:

748.23 in²

Step-by-step explanation:

<u>Area of a Regular Polygon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

  • n = number of sides
  • l = length of one side
  • a = apothem

Given:

  • n = 6
  • l = 101.8 ÷ 6
  • a = 14.7

Substituting the given values into the formula and solving for A:

\implies \textsf{A}=\dfrac{6 \cdot \dfrac{101.8}{6} \cdot 14.7}{2}

\implies \sf A=\dfrac{101.8 \cdot 14.7}{2}

\implies \sf A=\dfrac{1496.46}{2}

\implies \sf A=748.23

Therefore, the area of the hexagon is 748.23 in²

3 0
2 years ago
Triangle ABC ~ Triangle DEF. Measure of angle A = 20
marishachu [46]

Answer:

B=95°

E=95°

D=20°

C=65°

BC=7cm

Step-by-step explanation:

the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.

7 0
2 years ago
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