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3 years ago

I need help with #1 and #2 how do I do this?

Mathematics

2 answers:

Natalija [7]3 years ago

5 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1) AB = 6 BC = 4 AE = 9 ED = ?

Use proportions to solve this problem

AB / AE = 6/9 (AB + BC) / (AE + ED) = (6 + 4) / (9 + ED)

-Equal both proportions

6/9 = 10 / (9 + ED)

-Solve for ED

9 + ED = 10(9)/ 6

-Simplification

9 + ED = 90/6

9 + ED = 15

ED = 15 - 9

-Result

ED = 6

2.- AB = 12 AC = 16 ED = 5 AE = ?

Use proportions to solve this problem

AE / AB = AE / 12 AD/AC = (AE + 5) / 16

-Equal both proportions

AE/12 = (AE + 5 ) / 16

-Solve for AE

16AE = 12(AE + 5)

16AE = 12AE + 60

16AE -12AE = 60

4AE = 60

AE = 60/4

-Result

AE = 15

Dafna11 [192]3 years ago

3 0

Answer:

Step-by-step explanation:

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-3(x - 1) + 9 = 15 find the varible

stira [4]

Answer:

x = -1

Step-by-step explanation:

-3(x-1) + 9 = 15

-3x + 3 + 9 = 15

-3x = 3

x = -1

3 0

3 years ago

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STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being m

ELEN [110]

From an absolute value inequality, we have that:

The minimum diameter is 6.46 mm.
The maximum diameter is 6.54 mm.

The absolute value measures the distance of a point or a function to the origin.

One example of inequality is:

$|f(x)| \leq a$

Which has solution:

$-a \leq f(x) \leq a$

In this problem:

Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:

$|D - 6.5| \leq 0.04$

Applying the solution:

$-0.04 \leq D - 6.5 \leq 0.04$

$-0.04 \leq D - 6.5$

$D - 6.5 \geq -0.04$

$D \geq 6.46$

$\leq D - 6.5 \leq 0.04$

$D \leq 6.54$

The minimum diameter is 6.46 mm.
The maximum diameter is 6.54 mm.

A similar problem is given at brainly.com/question/24835634

5 0

3 years ago

33 more than the product of 7 and a number x is less than 26.

iogann1982 [59]

7x +33 < 26 isolate the term with a variable by subtracting 33
7x < -7 divide by 7
x < -1

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3 years ago

What 11/5 cubic feet = to?

adelina 88 [10]

Answer:

Step-by-step explanation:

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3 years ago

Solve −4 = −(−k − 86)+10

kvasek [131]

K= 100

You use distributive property

Step 1: −(−k)−1(−86)+10=−4

Step 2: k−1(−86)+10=−4

Step 3: k+86+10=−4

Step 4: k+96=−4

Step 5: k=−96−4

Step 6: Subtract 4 from −96 to get −100.

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3 years ago

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