rentylol
rentylol rentylol
  • 18-05-2022
  • Mathematics
contestada

the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

the measure of ABD is 018x54 and the measure of CBD is 007x39 find the value of x class=

Respuesta :

xKavinsky
xKavinsky xKavinsky
  • 18-05-2022

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

Don't know what supplementary angle is?

Supplementary angle are angles that :

Equal 180 °

Solve:  

Since,

∠ABD is (0.18x+54)°

∠CBD is (0.07x+39)°

Thus,

(0.18x+54) + 0.07x + 39 = 180

Group likes terms:

0.25x + 54 + 39 = 180

0.25 + 93 = 180

Subtract 93 from both sides

0.25x = 87

x = 348

Check Answer:

0.18(348) + 54 + 0.07(348) + 39

= 180

Answer Link

Otras preguntas

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succes
Find two consecutive even integers such that the smaller added to five times the larger gives a sum of 34
Why did parliament raise taxes on the american colonies after the french and indian war?
Read the sentence. I have tried many times to get a job. What is the verb tense of the phrase in bold? future present perfect present past
7 DUI conviction penalties include imprisonment, impounding of your vehicle, __________________, and a felony conviction.
What is the simple predicate of "gave me his old croquet set"
What is closed under division
There are 4 fewer markers than crayons. there are 6 markers. how many crayons are there?
“ Describe how biogeochemical cycles provide organisms with the raw materials necessary to synthesize complex organic compounds”
nine increased by a number