1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
2 years ago
14

If DEF=GJH, find each missing measure

Mathematics
1 answer:
Bas_tet [7]2 years ago
6 0

Congruent triangles have equal corresponding sides and angles.

  • The measure of the side lengths are: \mathbf{DF = 16m}, \mathbf{JH = 14m} and \mathbf{GJ = 19m}
  • The measure of the angles are: \mathbf{\angle G = 34^o}, \mathbf{\angle J = 41^o} and \mathbf{\angle F = 105^o}

The given parameters are:

\mathbf{\triangle D EF \cong \triangle GJH}

\mathbf{EF = 14m}

\mathbf{D E = 19m}

\mathbf{GH = 16m}

\mathbf{\angle D = 34^o}

\mathbf{\angle H = 105^o}

\mathbf{\triangle D EF \cong \triangle GJH} means that triangles DEF and GHJ are congruent triangles.

So, we have:

\mathbf{DF = GH}

This gives

\mathbf{DF = 16m}

Also, we have:

\mathbf{JH = EF}

This gives

\mathbf{JH = 14m}

Also, we have:

\mathbf{GJ = DE}

This gives

\mathbf{GJ = 19m}

The following angles are also congruent

\mathbf{\angle F = \angle H}

This gives

\mathbf{\angle F = 105^o}

Also, we have:

\mathbf{\angle G = \angle D}

This gives

\mathbf{\angle G = 34^o}

The measure of angle J is then calculated using

\mathbf{\angle J + \angle H + \angle G = 180^o}

This gives

\mathbf{\angle J + 105 + 34= 180^o}

\mathbf{\angle J + 139= 180^o}

Subtract 139 from both sides

\mathbf{\angle J = 41^o}

Read more about congruent triangles at:

brainly.com/question/4364353

You might be interested in
Kay's Dessert Shop bakes cookies. The ratio of chocolate chip to sugar cookies baked is always 5 to 2. If she bakes 210 cookies
Gnom [1K]

Answer: 60

Step-by-step explanation:

Given

The ratio of chocolate chip to sugar cookies is 5:2

If she bakes 210 cookies in one day

Suppose she baked x amount of chocolate chips on that day

So, we can write

\Rightarrow x=\dfrac{2}{5+2}\times 210\\\\\Rightarrow x=\dfrac{2}{7}\times 210=60

There were 60 sugar cookies on that day

6 0
2 years ago
I need serious help grades go in tonighttt
attashe74 [19]
Rewrite it from least to greatest and set it up like shown

8 0
2 years ago
An office that dispenses automotive license plates has divided its customers into categories to level the office workload. Custo
grigory [225]

Answer:

UNIF(2.66,3.33) minutes for all customer types.

Step-by-step explanation:

In the problem above, it was stated that the office arranged its customers into different sections to ensure optimum performance and minimize workload. Furthermore, there was a service time of UNIF(8,10) minutes for everyone. Since there are only three different types of customers, the service time can be estimated as UNIF(8/3,10/3) minutes = UNIF(2.66,3.33) minutes.

6 0
3 years ago
Are O, N, and P collinear? If so, name the line on which they lie.
san4es73 [151]

We are given a figure where M, N , O and P points are given.

We need to explain if points O, N, and P collinear or not.

Note: All co-linear points are in a straight line.

From the figure, we can see that <em>O and N points are in a straight line but point P is aside.</em>

So, the points O, N, and P are not collinear.

Therefore, correct option is "<u>No, the three points are not collinear</u>".


7 0
3 years ago
Jordan is running 5 miles for cross-country practice (track). She ran the first 2 miles in 12.5 minutes. How long will it take h
pochemuha

Answer:

31.25 minutes

Step-by-step explanation:

12.5 minutes divided by 2 (miles) = 1 mile per 6.25 minutes

6.25 x 5 = 31.25

6 0
3 years ago
Other questions:
  • Suppose we want to test the claim that the majority of adults are in favor of raising the vote age to 21. Is the hypothesis test
    7·1 answer
  • What is the slope of f(x) = 2x – 3
    7·2 answers
  • Find the area of the trapezoid.
    13·1 answer
  • Which inequality is represented by this graph?
    15·2 answers
  • Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures
    8·1 answer
  • Help needed! Plz A graph of a linear inequality in two variables is shown below:
    15·2 answers
  • Helpppp Asapppp I’m timed
    10·1 answer
  • Can someone help me please? Would really appreciate it!
    14·1 answer
  • Find the quotient.<br> 1.38÷0.3=
    12·2 answers
  • Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located clos
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!