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3 years ago

How do you solve 15+b=23

Mathematics

1 answer:

nexus9112 [7]3 years ago

5 0

You can solve it with the numbers you already have.

so, 23 - 15 = 8

so 15 + 8 = 23

b is 8 (:

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lyudmila [28]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ ∆ ABC is similar to ∆DEF

★ Area of triangle ABC = 64cm²

★ Area of triangle DEF = 121cm²

★ Side EF = 15.4 cm

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ Side BC

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

Since, ∆ ABC is similar to ∆DEF

[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]

$\therefore \tt \boxed{ \tt \dfrac{area( \triangle \: ABC )}{area( \triangle \: DEF)} = { \bigg(\frac{BC}{EF} \bigg)}^{2} }$

❍ Putting the values, [Given by the question]

• Area of triangle ABC = 64cm²

• Area of triangle DEF = 121cm²

• Side EF = 15.4 cm

$\implies \tt \dfrac{64 \: {cm}^{2} }{12 \: {cm}^{2} } = { \bigg( \dfrac{BC}{15.4 \: cm} \bigg) }^{2}$

❍ By solving we get,

$\implies \tt \sqrt{\dfrac{{64 \: cm}^{2} }{ 121 \: {cm}^{2} }} = \bigg( \dfrac{BC}{15.4 \: cm} \bigg)$

$\implies \tt \sqrt{\dfrac{{(8 \: cm)}^{2} }{ {(11 \: cm)}^{2} }} = \bigg( \dfrac{BC}{15.4 \: cm} \bigg)$

$\implies \tt \dfrac{8 \: cm}{11 \: cm} = \dfrac{BC}{15.4 \: cm}$

$\implies \tt \dfrac{8 \: cm \times 15.4 \: cm}{11 \: cm} = BC$

$\implies \tt \dfrac{123.2 }{11 } cm = BC$

$\implies \tt \purple{ 11.2 \: cm} = BC$

Hence, BC = 11.2 cm.

${\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}$

★ Figure in attachment.

$\rule{280pt}{2pt}$

4 0

2 years ago

20 POINTS!!!! If eight is added to twice a number and the sum is multiplied by five result is the same as if the number is multi

Sauron [17]

<h3>The value of x is equal to -2.</h3>

5(2x + 8) = -8x + 4

Distributive property.

10x + 40 = -8x + 4

Add 8x to both sides.

18x + 40 = 4

Subtract 40 from both sides.

18x = -36

Divide both sides by 18

x = -2

6 0

3 years ago

Lori bought some cookies for $2 each and muffins for $3 each. She bought twice as

Lubov Fominskaja [6]

Answer:

2 cookies

Step-by-step explanation:

let c represent cookies, m represent muffins. set up a system of equations:

2c+3m=16

m=2c

(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).

then solve the system of equations by substitution, substituting 2c for m in the top equation:

2c+3(2c)=16

2c+6c=16

8c=16

c=2

this means that lori bought 2 cookies.

7 0

2 years ago

Read 2 more answers

If f(x) = 4x - 7, what's the value of f(2) ? * O -1 O 1 O 20 O 35

sp2606 [1]

Answer:

Step-by-step explanation:

f(x) = 4x - 7

What does f(x) mean? It means that whatever variable you have on the left which is (x), the same variable must be on the right.

So f(2) means that whatever variable is on the right, it must be replaced with 2 on the right. So .....

f(2) = 4(2) - 7

f(2) = 8 - 7

f(2) = 1

3 0

2 years ago

2x -3y=8 solve for y

brilliants [131]

$2x-3y=8\ \ \ \ \ \ |subtract\ 2x\\\\-3y=8-2x\ \ \ \ \ \ \ \ \ |:-3\\\\y=\frac{8-2x}{-3}$

5 0

3 years ago