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Vikentia [17]
3 years ago
14

Solving similar triangles can someone please answer help

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

k=3

Step-by-step explanation:

Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.

Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.

With that in mind, we can conclude that for side K, it's half of 6, so 3! :D

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-8=-(x+4) i need help with this problem!!
kozerog [31]

X=4

You have to distribute the negative sign for everything in the parentheses. After that you add x to the other side then add 8 to the opposite side to move them. Then your answer is 4.

5 0
3 years ago
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
Find the missing angle<br> m∠R=
Oxana [17]

Answer:

R = 90

Step-by-step explanation:

Triangles will always equal 180 degrees. If you add 61 + 29 = 90. If two of the three angles already equal 90 degrees, then you would subtract 180 - 90. Therefore, the remaining angle would have to be 90 degrees.

8 0
2 years ago
A farmer took 2/3 of the strawberries that he harvested to a market. At the market, the farmer sold 1/4
Aliun [14]

Answer: If you are wondering how much he has left, there are 4/25 strawberries left

Step-by-step explanation:

5 0
3 years ago
If the perimeter of the triangle is 95 inches, what is the length of each side? n, 3n+8, and 4n+7.
IrinaVladis [17]

Answer: 10, 38, 47

Step-by-step explanation:

n + (3n + 8) + (4n + 7) = 95

8n + 15 = 95

8n = 80

n = 10

3(10) + 8 = 38

4(10) + 7) = 47

7 0
2 years ago
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