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marissa [1.9K]
2 years ago
13

Geela makes orange paint with 5 parts yellow to

Mathematics
1 answer:
Oxana [17]2 years ago
3 0
Answer:

Geela would need 9 yellow parts


Explanation:

Originally, the Geela needed more yellow than red and the difference was 4 parts.

6-2=4 parts


4 parts + 5 parts of yellow = 9 yellow parts.
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The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime
Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

z=\frac{2}{3}

so

\frac{2}{3}=\frac{CD}{GH}}

we have

GH=6\ cm

substitute

\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

AB=3DC

DC=CD=4\ cm

substitute

AB=3(4)=12\ cm

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

AD=8\ cm

therefore

BC=8\ cm

step 4

Find the perimeter of trapezoid ABCD

P=AB+BC+CD+AD

substitute the values

P=12+8+4+8=32\ cm

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

z=\frac{x}{y}

we have

z=\frac{2}{3}

x=32\ cm

substitute

\frac{2}{3}=\frac{32}{y}

y=32(3)/2=48\ cm

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0
3 years ago
A corporate team-building event costs $13, plus an additional $6 per attendee. How many
andrew-mc [135]

Answer:

 12

Step-by-step explanation:

The cost for n attendees will be ...

 cost = 2 + 2n

We want the cost to be, at most, 26, so we have ...

 26 ≥ 2 +2n

Dividing by 2 gives ...

 13 ≥ 1 + n

And subtracting 1, we find the answer:

 12 ≥ n

At most, there can be 12 attendees.

5 0
3 years ago
Suppose that E and F are two events and that Upper P (Upper E and Upper F )equals0.3 and Upper P (Upper E )equals0.5. What is Up
m_a_m_a [10]

Answer:

P(\frac{F}{E}) =\frac{0.3}{0.5} =0.6

Step-by-step explanation:

<u>Step 1</u>:-

Suppose that E and F are two events and that P(E n F) = 0.3

also given P(E) =0.5

<u>Conditional probability</u>:-

if E₁ and E₂ are two events in a Sample S and P(E₁)≠ 0, then the probability of E₂ , after the event E₁ has occurred, is called the <u>Conditional probability</u>

of the event E₂ given  E₁ and is denoted by

P(\frac{F}{E}) = \frac{P(EnF)}{P(E)}

P(\frac{F}{E}) =\frac{0.3}{0.5} =0.6

6 0
3 years ago
A snowflake falls 6 feet in 4 seconds. At this rate, how far does a snowflake fall in 1 minute?
antiseptic1488 [7]

A snowflake falls 90 feet in 1 minute.

60 ÷ 4 = 15

6 x 15 = 90

8 0
3 years ago
Line N passes through the points (–1, 4) and (–1, –4).Which is true of line N? Line N is a vertical line with an undefined slope
Marrrta [24]

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

When the points that line N passes through are graphed, they form a vertical line.

All vertical lines have an undefined slope.

We can also check if it's undefined by finding the slope.

m=\frac{-4-4}{-1+1}=\frac{-8}{0}

The quotient would be undefined. You cannot divide by zero.

Hope this helps.

7 0
3 years ago
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