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3 years ago

Find the measures of the numbered angles of rhombus DEFG

Mathematics

1 answer:

leonid [27]3 years ago

4 0

Answer: m<1= 90

m<2= 42

m<3= 42

m<4= 48

m<5= 48

Step-by-step explanation: Reasoning= 8th grade nerd

Just kidding, the diagonals bisect the angles(vertices) and opposite angles are congruent thanks to nasty proofs, which means <4=<5. The same goes with angle 2 and 3. The sum of interior angles of a rhombus is 360 degrees. So, 48 times 4, is 192, and 360-192 is 168. 168 divided by 4 is 42. There's your messy explanation. You(the person asking) probably turned this in already but to those who are searching for this answer days, weeks, months, even years ahead, good luck. Geometry is kinda rough but you'll (might) get the hang of it if you pay enough attention.

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3 years ago

Read 2 more answers

please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge

yuradex [85]

Answer:

$SA=62.1\ m^2$

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

$SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)$

$SA=7.5+12=19.5\ m^2$

step 2

Find the surface area of the cube

$SA=6s^2$

where

s is the length side of the cube

$SA=6(2.5^2)=37.5\ m^2$

step 3

Find the lateral area of the cylinder

$LA=\pi DL$

where

D is the diameter of the base

L is the length of cylinder

$LA=(3.14)(0.5)(3.5)=5.495\ m^2$

step 4

Find the area of the base of cylinder

$A=\pi r^{2}$

we have

$r=0.5/2=0.25\ m$ ----> the radius is half the diameter

$A=(3.14)(0.25)^{2}=0.19625\ m^2$

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

$SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2$