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atroni [7]
3 years ago
12

You have traveled 150 miles per gallon. how far did you travel per gallon? ​

Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

If you are looking for an equation, 150g=m

Step-by-step explanation:

g=gallons

m=gallons

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Use the given information to determine which of the following relationships
Anon25 [30]

Answer:

B. ∆LMN ≅ ∆OPQ because of ASA

Step-by-step explanation:

Two triangles are congruent if two angles and an included side of one triangle are congruent to two corresponding angles and a corresponding included side of the other.

From the information given, we have:

Two angles (<L and <M) in ∆LMN that are congruent to two corresponding angles (<O and <P) in ∆OPQ.

Also, included side in both triangles are congruent (ML ≅ PO).

Therefore, ∆LMN ≅ ∆OPQ by the ASA Theorem.

6 0
3 years ago
What is the probability of throwing a number greater than 4 when rolling a number cube that has sides labeled 1, 2, 3, 4, 5, 6?
Leona [35]
What is probability rolling a number greater than 4?

The only numbers there are is 5 and 6.
That means that there are 2 outcomes out of 6 total outcomes.
That would be 2/6.
Divide the the top and bottom by 2.
In simplest form it would be 1/3.
2/6=1/3

The answer is 1/3. The probability of throwing a number greater than 4 is 1/3.
4 0
2 years ago
What are the terms in the expression 350n-30n+350-(50+10n)
trapecia [35]
Terms- 350n, 30n, 350, and (50+10n) (four terms)
coefficients- 350,30,and 10
5 0
3 years ago
M=
alex41 [277]
50. Slope- -1
Y intercept- (0,7)

51. Slope- -1/3
Y intercept- (0,-3)
5 0
2 years ago
In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not
Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}

Furthermore,

PS=PR-RS

Finding PR and RS,

\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}

Then,

\frac{12}{PR}=\frac{TS}{15}\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}

Solving for PS,

\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}

Solve the quadratic equation in terms of PS, as shown below

\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0
1 year ago
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