(Geometry)
I need help on #4 and #11, 12 and 13 please

Problem 4

Let's define these point locations

Angle DBC is 90 degrees since it covers the upper right quadrant

Angle CBA is 45 degrees

Therefore, angle ABD is 90+45 = 135 degrees.

Check out the diagram below.

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Problem 11

x = the unknown angle

angle x and 140 combine to a straight angle (180 degrees)

x+140 = 180

x = 180-140

x = 40

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Problem 12

This time the angles add to 90

x+36 = 90

x = 90-36

x = 54

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Problem 13

The two angles x and 90 combine to a 120 degree angle

x+90 = 120

x = 120-90

x = 30

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.