Answer:
m∠CBD = m∠CDB ⇒ proved
Step-by-step explanation:
Let us solve the question
∵ AB ⊥ BD ⇒ given
→ That means m∠ABD = 90°
∴ m∠ABD = 90° ⇒ proved
∵ ED ⊥ BD ⇒ given
→ That means m∠EDB = 90°
∴ m∠EDB = 90° ⇒ proved
∵ ∠ABD and ∠EDB have the same measure 90°
∴ m∠ABD = m∠EDB ⇒ proved
∵ m∠ABD = m∠ABC + m∠CBD
∵ m∠EDB = m∠EDC + m∠CDB
→ Equate the two right sides
∴ m∠ABC + m∠CBD = m∠EDC + m∠CDB
∵ m∠ABC = m∠EDC ⇒ given
→ That means 1 angle on the left side = 1 angle on the right side, then
the other two angles must be equal in measures
∴ m∠CBD = m∠CDB ⇒ proved
I'm not sure about questions 7-10 tho, very sorry
Step-by-step explanation:
11) 5/7
12) 1/4
13) 7/10
14) 3/4
15) 2/9
16) 2/5
17) 13/30
18) 27/50
19) 5/16
20) 4/15
21) 1/24
22) 7/12
23) 1/20
24) 8/15
25) 11/45
Since the multiplication between two matrices is not <em>commutative</em>, then 
, regardless of the dimensions of 
.
<h3>Is the product of two matrices commutative?</h3>
In linear algebra, we define the product of two matrices as follows:
, where 
, 
and 
(1)
Where each element of the matrix is equal to the following dot product:
![c_{ij} = \left[\begin{array}{cccc}a_{i1}&a_{i2}&\ldots&a_{ip}\end{array}\right]\,\bullet\,\left[\begin{array}{ccc}b_{1j}\\b_{2j}\\\vdots\\b_{pj}\end{array}\right]](https://tex.z-dn.net/?f=c_%7Bij%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7Da_%7Bi1%7D%26a_%7Bi2%7D%26%5Cldots%26a_%7Bip%7D%5Cend%7Barray%7D%5Cright%5D%5C%2C%5Cbullet%5C%2C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db_%7B1j%7D%5C%5Cb_%7B2j%7D%5C%5C%5Cvdots%5C%5Cb_%7Bpj%7D%5Cend%7Barray%7D%5Cright%5D)
, where 1 ≤ i ≤ m and 1 ≤ j ≤ n. (2)
Because of (2), we can infer that the product of two matrices, no matter what dimensions each matrix may have, is not <em>commutative</em> because of the nature and characteristics of the definition itself, which implies operating on a row of the <em>former</em> matrix and a column of the <em>latter</em> matrix.
Such <em>"arbitrariness"</em> means that <em>resulting</em> value for 
will be different if the order between and 
is changed and even the dimensions of 
may be different. Therefore, the proposition is false.
To learn more on matrices: brainly.com/question/9967572
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Answer:
3 cups of cream
2 cups of chocolate
Step-by-step explanation:
9/3 = 3
1 x 3 = 3
2 x 3 = 6
6+3 = 9
