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sdas [7]
4 years ago
8

Find each missing length to the nearest tenth

Mathematics
1 answer:
Leni [432]4 years ago
6 0
What are the lengths?
You might be interested in
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
The equation
Soloha48 [4]

Answer:

9 weeks

Step-by-step explanation:

5w+16=61

Subtract 16 from both sides of the above equation.

5w+16-16=61-16

5w = 45

w = 9

8 0
3 years ago
Graph and identify image coordinates rx=2​
raketka [301]

Answer:

Step-by-step explanation:

Rule defining the reflection across the line x = -2 has been given as,

r_{x=-2}

Line x = -2 will work as a mirror for the given triangle J, K, L.

That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,

Vertices of the image triangle J'K'L' will be,

J' → (-5, 2)

K' → (-3, 2)

L' → (-4, 1)

3 0
3 years ago
E3: Amab sells an article to Vivek at a profit of 15% and Vivek sells it to
Bogdan [553]

Answer:

the cost price is 27,715

Step-by-step explanation:

Let the cost price be x

As Amab sells to Vivek at 15% profit

So the selling price be

= 115 ÷ 100 × x = 1.15x

And Vivek sells to sagar at a profit of 10%

= 1.15x × 110 ÷ 100

= 1.265x

Now sagar pays it for 35,060

So , the cost price be

1.265x = 35,060

x = 27,715

Hence, the cost price is 27,715

3 0
3 years ago
What is the measure of one of the interior<br>angles of the regular quadrilateral?​
creativ13 [48]

Answer:

<em>Measure of one of the interior angles ⇒ 90°</em>

Step-by-step explanation:

If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;

Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;

So if all these angles are ≅, we can claim that;

m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles

x + x + x + x = 360 degrees ( ° ),

4x  = 360°,

x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,

<em>Solution; Measure of one of the interior angles⇒ 90°</em>

6 0
4 years ago
Read 2 more answers
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