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aleksley [76]
2 years ago
5

In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2

3, algebraically find the value of x
Mathematics
1 answer:
amm18122 years ago
6 0

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

x = 4

The value of x is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

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Gennadij [26K]
Where’s the question
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3 years ago
shelly is going shopping at the mall to buy three pairs of shoes. she has a coupon for $2 off per pair of shoes after buying the
kvasek [131]
Okay, to start, we can multiply the $2 coupon by two because that is the amount of pairs she is going to by. So it would be $4 off. Now, if all of the shoes she purchased the same price, this is made a little easier. We can simply take $80 and $122 and add it by the $4 discount. Our new numbers would be $84 and $126. Now in order for this to work we would want all the numbers to be the same. We take $84 and divide it by three pairs, to get the values. For the least amount she can spend per pair is $28 and the most amount she can spend per pair is $42. 
4 0
3 years ago
Read 2 more answers
Help plz, these questions are very confusing :/
padilas [110]

Answer:

1.

cos ∅=b/h=24/25

:.b=24

h=25

by using Pythagoras law

h²=p²+b²

25²=p²+24²

p²=25²-24²

p=√7²=7

now

sin ∅=P/h=7/25

tan∅=p/b=7/24

2.cos ∅ is your answer

sec∅-sin∅tan∅

1/cos∅-sin²/cos∅

(1-sin²∅)/cos∅

cos²∅/cos∅

cos∅

3.

tan²∅-sec²x

sin²∅/cos²∅-¹/cos²∅

(sin²∅-1)/cos²∅

8 0
2 years ago
Question 3(Multiple Choice Worth 2 points)
Lilit [14]

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

<h3>What is an equivalent expression?</h3>

The equivalent is the expression that is in different forms but is equal to the same value.

Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.

Convert the sentence into numerical form.

\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}

Simplify the expression, then we have

\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

6 0
1 year ago
$13,168is invested, part at 13%and the rest at
Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0
3 years ago
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