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tankabanditka [31]
3 years ago
13

List all pairs of congruent angles. Then write the ratios of the corresponding side lengths in a statement of proportionality

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

Part A)

m<BDG=m<MPQ

m<DBG=m<PMQ

m<DGB=m<PQM

Part B) \frac{BD}{MP}=\frac{DG}{PQ}=\frac{BG}{MQ}

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Part A)

we have that

the congruent angles are

m<BDG=m<MPQ

m<DBG=m<PMQ

m<DGB=m<PQM

Part B) The ratio of its corresponding sides is equal to

\frac{BD}{MP}=\frac{DG}{PQ}=\frac{BG}{MQ}

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3 years ago
You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x) = 75,000 ^3sqrt x-19
LuckyWell [14K]

Answer: B. 1975


Step-by-step explanation:

Given:  The model of population of a certain city between the years 1965 and 1995 by the radical function

P(x)=75000\sqrt[3]{x-1940}

To find the x year at which population is 245,000, put this in equation we get

245000=75000\sqrt[3]{x-1940}\\\\\Rightarrow\frac{245000}{17000}=\sqrt[3]{x-1940}\\\\\Rightarrow3.266=\sqrt[3]{x-1940}\\\\\Rightarrow\ x-1940=(3.266)^3..........\text{[by taking cube on both sides]}\\\\\Rightarrow\ x-1940=34.8587\\\\\Rightarrow\ x=1940+34.8587\\\\\Rightarrow\ x=1974.8587\approx1975

Hence, at year 1975 the population of the city is 245,000.

5 0
3 years ago
Read 2 more answers
3. Evaluate a + b for a = -46 and b= 34.<br> A:-12<br> B:80<br> C:-80<br> D:12
blsea [12.9K]

Answer:

<h2>A: -12</h2>

Step-by-step explanation:

Put the values of a = -46 and b = 34 to the expression a + b:

-46 + 34        <em>use the commutative property a + b = b + a</em>

= 34 + (-46) = 34 - 46 = -12

4 0
3 years ago
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netineya [11]

Answer:

A

Step-by-step explanation:

solve for the first variable in one of the equations, they substitute the result into the other equation.

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3 years ago
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