<u><em>Answer:</em></u>
The missing term is 3x²
<u><em>Explanation:</em></u>
Addition and subtraction can only take place between like terms.
<u>For two terms to be like</u>, both the variable and its degree must be the same in both terms
<u>Now, consider the given terms:</u>
First term is 7x² has the variable x with degree 2
The resulting term is 10x² has the variable x with degree 2
This means that the missing term is ax²
We need to get the value of "a"
<u>This is done as follows:</u>
ax² + 7x² = 10x²
x²(a+7) = 10x²
a+7 = 10
a = 10-7
a = 3
Therefore, the missing term is 3x²
Hope this helps :)
Answer:
The probability is 0.05.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In a certain study comma the chances of encountering a car crash on the road are stated as "1 in 20."
This means that in 20 times you go out on the road, in 1 of them you are expected to encounter a car crash.
This means that
The probability is 0.05.
Step-by-step explanation:
Equation of the line is y = 7/8 x + 5/9.
Answer: you should add a picture or type the question
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is given that the quadrilateral ABCD has AB ≅ CD and BC ≅ DA is a parallelogram, then in order to prove opposite angles of the parallelogram are equal, we take ΔABC and ΔADC,
AC=AC(Common)
AB=CD(given)
BC=AD(given)
Thus, by SSS rule, ΔABC ≅ ΔADC
By CPCT, ∠B=∠C
Also, from ΔABD and ΔBCD, we have
AB=CD(given)
BC=AD(given)
BD=BD(common)
Thus, by SSS rule, ΔABD ≅ ΔBCD
By CPCT, ∠A=∠C
Since, opposite angles are equal,therefore ABCD is a parallelogram.
Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove ΔABC ≅ ΔADC by the SSS Congruence Postulate. Using CPCTC, ∠B=∠C.The same can be done for ΔABD ≅ ΔBCD using the given information and the shared side BD. This will lead to ∠A=∠C. Therefore, ABCD is a parallelogram because opposite angles are congruent.
