Answer:
f(7) = - 25
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x), that is
f(7) = - 5(7) + 10 = - 35 + 10 = - 25
Answer:
A = 104 ft²
Step-by-step explanation:
We're given that the width of the rectangle is 8 so that's the value of w. All we have to do is just plug in 8 into the equation:
A=w²+5w
A=(8)²+5(8)
A=64+40
A = 104 ft²
Answer:
1/6
Step-by-step explanation:
Hillary is making a blanket for her mom.
Let the total blanket = 1
Three-fourths of the blanket is green and the rest is yellow.
The fraction for the rest(yellow portion) = 1 - 3/4
The Lowest Common Denominator is 4
Hence,
4 - 3 /4 = 1/4
Two-thirds of the yellow part has her name on it.
The fraction of the blanket that will have her name on it is calculated as
2/3 of 1 /4
= 2/3 × 1/4
= 1/6
Answer:
See explanation below.
Step-by-step explanation:
Note that in △RST and △UVW
- m∠T=180°-m∠R-m∠S;
- m∠W=180°-m∠U-m∠V.
Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.
In ΔRST and ΔUVW:
- ∠S≅∠V (given);
- ∠T≅∠W (proved);
- ST≅VW (given).
ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
By ASA theorem ΔRST≅ΔUVW.
