Answer: 1) 13 2) 11, 144°, 36° 3) 18, 54°, 126°
Step-by-step explanation:
For the first one to find x make the equations equivalent to each other
to make an equation.
7x - 16 = 5x + 10 // Now solve for x
add 16 to both sides
7x = 5x + 26
subract 5 from both x
2x = 26
Now divide by 2
x = 13
For the 2nd one do the same thing as last time because the equations are across from each other in parallel lines meaning they are equivalent.
12y + 12 = 15y - 21
add 21 to both sides
12y + 33 = 15y
subtract 12 from both y
33 = 3y
Now divide by 3
y = 11
Angle A is 144°
Angle B is 36°
Now solve for A ( replace y by 11 in the equation a to get an output )
12(11) +12
132 + 12 = 144°
Now to find b subtract 144 from 180
180 - 144 = 36°
For the 3rd one same thing since they are parallel.
5z - 36 = 3z
add 36 to both sides
5z = 3z + 36
now subtract 3 from both z
2z = 36
divide by 2
z = 18
Solve for C
5(18) - 36
90 - 36 = 54°
Z is 18
angle C is 54°
angle D is 126°
Michael is 31 years old
John is 14 years old
31+14= 45
In 4 years the age will equal 49
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
<em>Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
</em>
<em>How much space does Lacey's mom cover in frosting?
</em>
My answer:
As we know that the surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw
- The area of rectangle ABCD: 4*2 = 8
- The area of rectangle ADFE : 12*2 = 24
- The area of rectangle TJVS : 4*2 = 8
- The area of rectangle ESFV :9*2 = 18
- The area of rectangle HTJG: 5*2 = 10
- The area of rectangle CBHG: 2*8 = 16
The area of CDEVGJ = ABHTFS
= 4*12 + 4*5
= 68
So the total area is: 68 +68 +16+10+18+8+24+8 = 220
Hope it will find you well
Answer:
64 cm^2
Step-by-step explanation:
SA = s^2 + 2sl
= 4^2 + 2(4)(6)
= 64 cm^2
False,31+29=60
true,40+8=48
False,17-7=10
True,98-11=87
False,51-8=43