Which expression shows how to use place value and the distributive property to find 11(34)? a. 10(1) + 30(4) b 10(30) + 1(4) c 11(3) + 1(4) d 11(30) + 11(4)

D ) 11 (30) + 11 (4) .

Step-by-step explanation:

Given  : 11(34).

To find : Which expression shows how to use place value and the distributive property.

Solution : We have given  11(34).

We can see 3 is at ten place  30 and 4 is at ones place .

We can write the 34 as 30 + 4.

11 ( 30 + 4) .

Using Distributing property : a ( b +c) = ab + ac .

11 ( 30 + 4)  = 11 (30) + 11 (4) .

Therefore, D ) 11 (30) + 11 (4) .

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step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.