<span>The number sentence 4x7=(4x3)+(4x4) is an example of distributive property.
The distributive property states the following:
</span><span>a × (b + c) = a × b + a × c
</span>Multiplying <span>a sum by a number is the same as </span>multiplying<span> each addend by the number and then adding the products. </span>
In our case, a=4 b+c=7, b=3, c=4
I took a picture on my calculator of what the graph should look like.
Answer:
77°, 103°
Step-by-step explanation:
x=103°
- z=x=103°
- y=180°-x=180°-103°=77°
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∠5= 42°
∠3= 180°-42°=138°
Let dimes = d and quarters =q
D + q = 50
D= 50-q
0.10d + 0.25Q = 7.70
Replace d with 50-q:
0.10(50-q) + 0.25q = 7.70
Simplify:
5 -0.10q + 0.25q = 7.70
5 + 0.15q = 7.70
Subtract 5 from both sides:
0.15q = 2.70
Divide both sides by 0.15:
Q = 2.70 / 0.15
Q = 18
D = 50-18 = 32
There are 32 dimes and 18 quarters
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
<u>The missing angles</u>
- Both the unknown angles have the same value as the other two angles in the triangles are the same
- ∠(missing) = 180 - (72 x 2)
- ∠(missing) = 180 - 144
- ∠(missing) = 36°
⇒ The sides are <u>equal</u>
⇒ Angles are <u>not 90°</u>
⇒ It is a <u>rhombus</u>
<u></u>
<u>Question 2</u>
- The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
- NY = NW (given)
- XN = NZ (given)
- ∠XNY = ∠WXZ (vertically opposite angles)
- ΔXNY ≅ ΔWXZ (SAS)
- They form <u>two congruent triangles</u> (Statement 2)
- From these two statements, it is evident the figure is a <u>parallelogram</u>
