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DiKsa [7]
3 years ago
11

Please help as soon as possible!!!!!!

Mathematics
2 answers:
shusha [124]3 years ago
6 0

Answer:

5. Congruent triangles

Step-by-step explanation:

Congruent Triangles : When two triangles are congruent, all its three sides are equal and have the same angles.

So in conguent traingles,

ΔADB ≅ BDC

Therefore, AB = DC and AD = BC

Thus this completes the missing information that proves that the quadrilateral ABCD ia a parallelogram, then its opposite sides are congruent.

mina [271]3 years ago
3 0

Answer:

  congruent triangles

Step-by-step explanation:

The complete reason is, "corresponding parts of congruent triangles are congruent." This reason is sometimes abbreviated CPCTC.

It can be helpful to note that the previous step concluded that the relevant triangles are congruent.

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The Lopez family and the Russell family each used their sprinklers last summer. The water output rate for the Lopez family's spr
grin007 [14]
L = hours used by the Lopez's sprinkler

R = hours used by the Russell's sprinkler

so, we know the Lopez's sprinkler uses 15 Liters per hour, so say after 1 hour it has used 15(1), after 2 hours it has used 15(2), after 3 hours it has used 15(3) liters and after L hours it has used then 15(L) or 15L.

likewise, the Russell's sprinkler, after R hours it has used 40R, since it uses 40 Liters per hour.

we know that both sprinklers combined went on and on for 45 hours, therefore whatever L and R are, L + R = 45.

we also know that the output on those 45 hours was 1050 Liters, therefore, we know that 15L + 40R = 1050.

\bf \begin{cases}
L+R=45\implies \boxed{L}=45-R\\
15L+40R=1050\\
----------\\
15\left(\boxed{45-R}  \right)+40R=1050
\end{cases}
\\\\\\
675-15R+40R=1050\implies 25R=375\implies R=\cfrac{375}{25}\\\\\\ R=15

how long was the Lopez's on for?  well, L = 45 - R.
7 0
3 years ago
Explain step by step please!
adelina 88 [10]

Answer:

Each book weighs 2.5 pounds.

Step-by-step explanation:

75/2.5 is 30.  Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.

5 0
3 years ago
Read 2 more answers
the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers
irakobra [83]
X, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \\
\underline{x-y=3} \\
x+x=9+3 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
x+y=9 \\
6+y=9 \ \ \ |-6 \\
y=3

The numbers are 6 and 3.
6 0
3 years ago
Read 2 more answers
HELP PLS MARKING BRAINLEIST
vagabundo [1.1K]

Answer:

1

Step-by-step explanation:

5/5=1

8 0
3 years ago
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Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was
frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

z=\dfrac{x-\mu}{\sigma}    (1)

Given : \mu=90

\sigma=7

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of \mu,\ \sigma\ and \ x in (1), we get

1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69

Hence, the raw score for Daniel's exam grade = 101.69

3 0
3 years ago
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