Let ∠1, ∠2, ∠3, and ∠4 have the following relationships. ∠1 and ∠2 are vertical angles.

∠3 and ∠4 are right vertical angles.

∠3 is adjacent to both ∠1 and ∠2.

What is the sum of the measure of ∠4 and the measure of ∠1 minus the measure of ∠2?

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x

step-by-step explanation:

d would equal 12